Relevant bibliographies by topics / S-Matrix Bootstrap / Journal articles
To see the other types of publications on this topic, follow the link: S-Matrix Bootstrap.

Journal articles on the topic 'S-Matrix Bootstrap'

Author: Grafiati
Published: 6 September 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'S-Matrix Bootstrap.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Sivers, Dennis, and Jack L. Uretsky. "S-matrix bootstrap of a scalar Higgs boson." Physical Review Letters 68, no. 11 (1992): 1649–52. http://dx.doi.org/10.1103/physrevlett.68.1649.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

KOUBEK, A., G. MUSSARDO, and R. TATEO. "BOOTSTRAP TREES AND CONSISTENT S MATRICES." International Journal of Modern Physics A 07, no. 15 (1992): 3435–45. http://dx.doi.org/10.1142/s0217751x92001526.

Full text
Abstract:
We analyze the tree structure arising from the recursive bootstrap equations, given the S matrix of the lightest particle. When S11 contains only one singularity, among all possible bootstrap systems, the only ones which give rise to a consistent set of S matrices coincide with those of sine–Gordon breathers at the reduction point ξ = 2π/(2n + 1). We also present our investigation of bootstrap systems defined by an S11 with a higher number of singularities. The only consistent examples we found belong to the set of minimal S matrices corresponding to Dynkin diagrams.
APA, Harvard, Vancouver, ISO, and other styles
3

KOUBEK, A. "S MATRICES OF ϕ1,2-PERTURBED MINIMAL MODELS: IRF FORMULATION AND BOOTSTRAP PROGRAM". International Journal of Modern Physics A 09, № 11 (1994): 1909–27. http://dx.doi.org/10.1142/s0217751x94000820.

Full text
Abstract:
We analyze the algebraic structure of ϕ1,2-perturbed minimal models, relating them to graph state models with an underlying Birman-Wenzl-Murakami algebra. Using this approach many physical properties of the IRF amplitudes can be derived, as the phase shifts in the ultraviolet limit, crossing relations and a simple formulation of the bootstrap equations. These are used to calculate explicitly the S matrix elements of higher kinks, and to determine the breather spectrum of the ϕ1,2 perturbations of the unitary minimal models ℳr,r+1. Finally it is checked that the bootstrap closes on those partic
APA, Harvard, Vancouver, ISO, and other styles
4

Cadamuro, Daniela, and Yoh Tanimoto. "Wedge-local observables for factorizing S-matrix with gap in the coupling constant." Reviews in Mathematical Physics 30, no. 04 (2018): 1850010. http://dx.doi.org/10.1142/s0129055x18500101.

Full text
Abstract:
In the bootstrap approach to integrable quantum field theories in the [Formula: see text]-dimensional Minkowski space, one conjectures the two-particle S-matrix and tries to study local observables. We find a family of two-particle S-matrices parametrized by two positive numbers, which are separated from the free field or any other known S-matrix. We propose candidates for observables in wedge-shaped regions and prove their commutativity in the weak sense. The sine-Gordon model is conjectured to be equivalent to the Thirring model, and its breather–breather S-matrix components (where the first
APA, Harvard, Vancouver, ISO, and other styles
5

SASAKI, RYU, and FREDDY PERMANA ZEN. "THE AFFINE TODA S-MATRICES vs PERTURBATION THEORY." International Journal of Modern Physics A 08, no. 01 (1993): 115–34. http://dx.doi.org/10.1142/s0217751x93000059.

Full text
Abstract:
We present perturbative calculations for the Affine Toda Field Theory (ATFT) S-matrices to the second order in the coupling constants for [Formula: see text] and [Formula: see text] in general, to the fourth order for [Formula: see text] theory as well as to the sixth order for [Formula: see text] theory. Conventional Feynman–Dyson calculation method and the dispersion approach are used to calculate the complete form of the perturbation amplitudes in contrast to the pole residues in previous papers. The results agree with those S-matrices obtained in the S-matrix approach, namely those based o
APA, Harvard, Vancouver, ISO, and other styles
6

Sauer, Lauren, Yuhlong Lio, and Tzong-Ru Tsai. "Reliability Inference for the Multicomponent System Based on Progressively Type II Censored Samples from Generalized Pareto Distributions." Mathematics 8, no. 7 (2020): 1176. http://dx.doi.org/10.3390/math8071176.

Full text
Abstract:
In this paper, the reliability of a k-component system, in which all components are subject to common stress, is considered. The multicomponent system will continue to survive if at least s out of k components’ strength exceed the common stress. The system reliability is investigated by utilizing the maximum likelihood estimator based on progressively type II censored samples from generalized Pareto distributions. The confidence interval of the system reliability can be obtained by using asymptotic normality with Fisher information matrix or bootstrap method approximation. An intensive simulat
APA, Harvard, Vancouver, ISO, and other styles
7

YOUNG, CATHERINE J. "Characterisation of the Australian Nacophorini using adult morphology, and phylogeny of the Geometridae based on morphological characters." Zootaxa 1736, no. 1 (2008): 1. http://dx.doi.org/10.11646/zootaxa.1736.1.1.

Full text
Abstract:
The Australian Nacophorini and related taxa are described using a matrix of 116 adult morphological characters. Adults of 72 species are illustrated using photographs and electron micrographs. Subsets of the characters are used to conduct a phylogenetic analysis based on cladistic principles. The adult morphological character set was augmented with 17 characters from eggs and 27 from larvae. The resulting phylogeny is poorly resolved but provides support for many of the relationships recovered by previous molecular analyses of the group, including basal derivations for characters of Larentiina
APA, Harvard, Vancouver, ISO, and other styles
8

Kim, Byungsuk, Youngjoo Byun, and Eun Hee Lee. "DoE-Based Design of a Simple but Efficient Preparation Method for a Non-Effervescent Gastro-Retentive Floating Tablet Containing Metformin HCl." Pharmaceutics 13, no. 8 (2021): 1225. http://dx.doi.org/10.3390/pharmaceutics13081225.

Full text
Abstract:
A sustained-release non-effervescent floating matrix tablet was prepared using a simple and efficient direct compression of spray-dried granules containing metformin hydrochloride and cetyl alcohol with hydroxypropyl methylcellulose K15M (HPMC K15M). The design of experiments was employed to explore the optimal composition of the tablet. The similarity factor was employed to evaluate the equivalence in dissolution profiles between the test tablets and Glucophage XR as a reference. Bootstrap analysis was used to eliminate the formulations for which the dissolution profile was potentially inequi
APA, Harvard, Vancouver, ISO, and other styles
9

Freudenberg, J., H. Boriss, and D. Hasenclever. "Comparison of Preprocessing Procedures for Oligo-nucleotide Micro-arrays by Parametric Bootstrap Simulation of Spike-in Experiments." Methods of Information in Medicine 43, no. 05 (2004): 434–38. http://dx.doi.org/10.1055/s-0038-1633893.

Full text
Abstract:
Summary Objective: Due to scarcity of calibration data for micro-array experiments, simulation methods are employed to assess preprocessing procedures. Here we analyze several procedures’ robustness against increasing numbers of differentially expressed genes and varying proportions of up-regulation. Methods: Raw probe data from oligo-nucleotide micro-arrays are assumed to be approximately multivariate normally distributed on the log scale. Chips can be simulated from a multivariate normal distribution with mean and variance-covariance matrix estimated from a real raw data set.A chip effect in
APA, Harvard, Vancouver, ISO, and other styles
10

Miró, Joan Elias, Andrea L. Guerrieri, Aditya Hebbar, João Penedones, and Pedro Vieira. "Flux Tube S -Matrix Bootstrap." Physical Review Letters 123, no. 22 (2019). http://dx.doi.org/10.1103/physrevlett.123.221602.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Doroud, N., and J. Elias Miró. "S-matrix bootstrap for resonances." Journal of High Energy Physics 2018, no. 9 (2018). http://dx.doi.org/10.1007/jhep09(2018)052.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Hebbar, Aditya, Denis Karateev, and João Penedones. "Spinning S-matrix bootstrap in 4d." Journal of High Energy Physics 2022, no. 1 (2022). http://dx.doi.org/10.1007/jhep01(2022)060.

Full text
Abstract:
Abstract We review unitarity and crossing constraints on scattering amplitudes for particles with spin in four dimensional quantum field theories. As an application we study two to two scattering of neutral spin 1/2 fermions in detail. Assuming Mandelstam analyticity of its scattering amplitude, we use the numerical S-matrix bootstrap method to estimate various non-perturbative bounds on quartic and cubic (Yukawa) couplings.
APA, Harvard, Vancouver, ISO, and other styles
13

Ghosh, Sudip, Prashanth Raman, and Aninda Sinha. "Celestial insights into the S-matrix bootstrap." Journal of High Energy Physics 2022, no. 8 (2022). http://dx.doi.org/10.1007/jhep08(2022)216.

Full text
Abstract:
Abstract We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves. These partial waves have spurious singularities in the complex Celestial variable, which need to be removed in local theories. The locality constraints (null constraints) admit closed form expressions, which lead to novel bounds on partial wave moments. These bounds allow us to quantify the degree of low spin dominance(LSD) for scalar theories. We study a new kind of pos
APA, Harvard, Vancouver, ISO, and other styles
14

Bose, Anjishnu, Aninda Sinha, and Shaswat Tiwari. "Selection rules for the S-Matrix bootstrap." SciPost Physics 10, no. 5 (2021). http://dx.doi.org/10.21468/scipostphys.10.5.122.

Full text
Abstract:
We examine the space of allowed S-matrices on the Adler zeros' plane using the recently resurrected (numerical) S-matrix bootstrap program for pion scattering. Two physical quantities, an averaged total scattering cross-section, and an averaged entanglement power for the boundary S-matrices, are studied. Emerging linearity in the leading Regge trajectory is correlated with a reduction in both these quantities. We identify two potentially viable regions where the S-matrices give decent agreement with low energy S- and P-wave scattering lengths and have leading Regge trajectory compatible with e
APA, Harvard, Vancouver, ISO, and other styles
15

Homrich, Alexandre, João Penedones, Jonathan Toledo, Balt C. van Rees, and Pedro Vieira. "The S-matrix bootstrap IV: multiple amplitudes." Journal of High Energy Physics 2019, no. 11 (2019). http://dx.doi.org/10.1007/jhep11(2019)076.

Full text
APA, Harvard, Vancouver, ISO, and other styles
16

Córdova, Lucía, and Pedro Vieira. "Adding flavour to the S-matrix bootstrap." Journal of High Energy Physics 2018, no. 12 (2018). http://dx.doi.org/10.1007/jhep12(2018)063.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

Miró, Joan Elias, Andrea Guerrieri, and Mehmet Asım Gümüş. "Bridging positivity and S-matrix bootstrap bounds." Journal of High Energy Physics 2023, no. 5 (2023). http://dx.doi.org/10.1007/jhep05(2023)001.

Full text
Abstract:
Abstract The main objective of this work is to isolate Effective Field Theory scattering amplitudes in the space of non-perturbative two-to-two amplitudes, using the S-matrix Bootstrap. We do so by introducing the notion of Effective Field Theory cutoff in the S-matrix Bootstrap approach. We introduce a number of novel numerical techniques and improvements both for the primal and the linearized dual approach. We perform a detailed comparison of the full unitarity bounds with those obtained using positivity and linearized unitarity. Moreover, we discuss the notion of Spin-Zero and UV dominance
APA, Harvard, Vancouver, ISO, and other styles
18

Córdova, Lucía, Yifei He, and Miguel F. Paulos. "From conformal correlators to analytic S-matrices: CFT1/QFT2." Journal of High Energy Physics 2022, no. 8 (2022). http://dx.doi.org/10.1007/jhep08(2022)186.

Full text
Abstract:
Abstract We study families of one-dimensional CFTs relevant for describing gapped QFTs in AdS2. Using the Polyakov bootstrap as our main tool, we explain how S-matrices emerge from the flat space limit of CFT correlators. In this limit we prove that the CFT OPE density matches that of a generalized free field, and that this implies unitarity of the S-matrix. We establish a CFT dispersion formula for the S-matrix, proving its analyticity except for singularities on the real axis which we characterize in terms of the CFT data. In particular positivity of the OPE establishes that any such S-matri
APA, Harvard, Vancouver, ISO, and other styles
19

Guerrieri, Andrea L., João Penedones, and Pedro Vieira. "S-matrix bootstrap for effective field theories: massless pions." Journal of High Energy Physics 2021, no. 6 (2021). http://dx.doi.org/10.1007/jhep06(2021)088.

Full text
Abstract:
Abstract We use the numerical S-matrix bootstrap method to obtain bounds on the two leading Wilson coefficients (or low energy constants) of the chiral lagrangian controlling the low-energy dynamics of massless pions. This provides a proof of concept that the numerical S-matrix bootstrap can be used to derive non-perturbative bounds on massless EFTs in more than two spacetime dimensions.
APA, Harvard, Vancouver, ISO, and other styles
20

Dutta Chowdhury, Subham, Kausik GHOSH, Parthiv Haldar, Prashanth Raman, and Aninda Sinha. "Crossing Symmetric Spinning S-matrix Bootstrap: EFT bounds." SciPost Physics 13, no. 3 (2022). http://dx.doi.org/10.21468/scipostphys.13.3.051.

Full text
Abstract:
We develop crossing symmetric dispersion relations for describing 2-2 scattering of identical external particles carrying spin. This enables us to import techniques from Geometric Function Theory and study two sided bounds on low energy Wilson coefficients. We consider scattering of photons, gravitons in weakly coupled effective field theories. We provide general expressions for the locality/null constraints. Consideration of the positivity of the absorptive part leads to an interesting connection with the recently conjectured weak low spin dominance. We also construct the crossing symmetric a
APA, Harvard, Vancouver, ISO, and other styles
21

Correia, Miguel, Amit Sever, and Alexander Zhiboedov. "An analytical toolkit for the S-matrix bootstrap." Journal of High Energy Physics 2021, no. 3 (2021). http://dx.doi.org/10.1007/jhep03(2021)013.

Full text
Abstract:
Abstract We revisit analytical methods for constraining the nonperturbative S-matrix of unitary, relativistic, gapped theories in d≥ 3 spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic unitarity to develop two natural expansions of the amplitude. One is the threshold (non-relativistic) expansion and the other is the large spin expansion. The two are related by the Froissart-Gribov inversion formula. When combined with crossing and a local bound on the discontinuity of the amplitude, this allows us to constrain scatterin
APA, Harvard, Vancouver, ISO, and other styles
22

Bercini, Carlos, Matheus Fabri, Alexandre Homrich, and Pedro Vieira. "S-matrix bootstrap: Supersymmetry, Z2 , and Z4 symmetry." Physical Review D 101, no. 4 (2020). http://dx.doi.org/10.1103/physrevd.101.045022.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

Paulos, Miguel F., Joao Penedones, Jonathan Toledo, Balt C. van Rees, and Pedro Vieira. "The S-matrix bootstrap II: two dimensional amplitudes." Journal of High Energy Physics 2017, no. 11 (2017). http://dx.doi.org/10.1007/jhep11(2017)143.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Guerrieri, Andrea L., Alexandre Homrich, and Pedro Vieira. "Dual S-matrix bootstrap. Part I. 2D theory." Journal of High Energy Physics 2020, no. 11 (2020). http://dx.doi.org/10.1007/jhep11(2020)084.

Full text
Abstract:
Abstract Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We then explain how to optimize such bounds numerically, and prove that they provide the same bounds obtained from the usual primal formulation of the S-matrix Bootstrap, at least once convergence is attained from both perspectives. These techniques are then applied to the study of a gapped system with two stable particles of different masses, which serv
APA, Harvard, Vancouver, ISO, and other styles
25

Chen, Hongbin, A. Liam Fitzpatrick та Denis Karateev. "Bootstrapping 2d ϕ4 theory with Hamiltonian truncation data". Journal of High Energy Physics 2022, № 2 (2022). http://dx.doi.org/10.1007/jhep02(2022)146.

Full text
Abstract:
Abstract We combine the methods of Hamiltonian Truncation and the recently proposed generalisation of the S-matrix bootstrap that includes local operators to determine the two-particle scattering amplitude and the two-particle form factor of the stress tensor at s > 0 in the 2d ϕ4 theory. We use the form factor of the stress tensor at s ≤ 0 and its spectral density computed using Lightcone Conformal Truncation (LCT), and inject them into the generalized S-matrix bootstrap set-up. The obtained results for the scattering amplitude and the form factor are fully reliable only in the elastic reg
APA, Harvard, Vancouver, ISO, and other styles
26

Paulos, Miguel F., Joao Penedones, Jonathan Toledo, Balt C. van Rees, and Pedro Vieira. "The S-matrix bootstrap. Part III: higher dimensional amplitudes." Journal of High Energy Physics 2019, no. 12 (2019). http://dx.doi.org/10.1007/jhep12(2019)040.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Bose, Anjishnu, Parthiv Haldar, Aninda Sinha, Pritish Sinha, and Shaswat Tiwari. "Relative entropy in scattering and the S-matrix bootstrap." SciPost Physics 9, no. 5 (2020). http://dx.doi.org/10.21468/scipostphys.9.5.081.

Full text
Abstract:
We consider entanglement measures in 2-2 scattering in quantum field theories, focusing on relative entropy which distinguishes two different density matrices. Relative entropy is investigated in several cases which include \phi^4ϕ4 theory, chiral perturbation theory (\chi PTχPT) describing pion scattering and dilaton scattering in type II superstring theory. We derive a high energy bound on the relative entropy using known bounds on the elastic differential cross-sections in massive QFTs. In \chi PTχPT, relative entropy close to threshold has simple expressions in terms of ratios of scatterin
APA, Harvard, Vancouver, ISO, and other styles
28

Paulos, Miguel F., Joao Penedones, Jonathan Toledo, Balt C. van Rees, and Pedro Vieira. "The S-matrix bootstrap. Part I: QFT in AdS." Journal of High Energy Physics 2017, no. 11 (2017). http://dx.doi.org/10.1007/jhep11(2017)133.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

Kruczenski, Martin, and Harish Murali. "The R-matrix bootstrap for the 2d O(N) bosonic model with a boundary." Journal of High Energy Physics 2021, no. 4 (2021). http://dx.doi.org/10.1007/jhep04(2021)097.

Full text
Abstract:
Abstract The S-matrix bootstrap is extended to a 1+1d theory with O(N) symmetry and a boundary in what we call the R-matrix bootstrap since the quantity of interest is the reflection matrix (R-matrix). Given a bulk S-matrix, the space of allowed R-matrices is an infinite dimensional convex space from which we plot a two dimensional section given by a convex domain on a 2d plane. In certain cases, at the boundary of the domain, we find vertices corresponding to integrable R-matrices with no free parameters. In other cases, when there is a one-parameter family of integrable R-matrices, the whole
APA, Harvard, Vancouver, ISO, and other styles
30

He, Yifei, and Martin Kruczenski. "S-matrix bootstrap in 3+1 dimensions: regularization and dual convex problem." Journal of High Energy Physics 2021, no. 8 (2021). http://dx.doi.org/10.1007/jhep08(2021)125.

Full text
Abstract:
Abstract The S-matrix bootstrap maps out the space of S-matrices allowed by analyticity, crossing, unitarity, and other constraints. For the 2 → 2 scattering matrix S2→2 such space is an infinite dimensional convex space whose boundary can be determined by maximizing linear functionals. On the boundary interesting theories can be found, many times at vertices of the space. Here we consider 3 + 1 dimensional theories and focus on the equivalent dual convex minimization problem that provides strict upper bounds for the regularized primal problem and has interesting practical and physical advanta
APA, Harvard, Vancouver, ISO, and other styles
31

Bielli, Daniele, Vaibhav Gautam, and Alessandro Torrielli. "A study of integrable form factors in massless relativistic AdS2." Journal of High Energy Physics 2023, no. 6 (2023). http://dx.doi.org/10.1007/jhep06(2023)005.

Full text
Abstract:
Abstract In this paper we initiate the study of form factors for the massless scattering of integrable AdS2 superstrings, where the difference-form of the S-matrix can be exploited to implement the relativistic form factor bootstrap. The non-standard nature of the S-matrix implies that traditional methods do not apply. We use the fact that the massless AdS2S-matrix is a limit of a better-behaved S-matrix found by Fendley. We show that the previously conjectured massless AdS2 dressing factor coincides with the limit of the De Martino-Moriconi improved dressing factor for the Fendley S-matrix. W
APA, Harvard, Vancouver, ISO, and other styles
32

Correia, Miguel, João Penedones, and Antoine Vuignier. "Injecting the UV into the bootstrap: Ising Field Theory." Journal of High Energy Physics 2023, no. 8 (2023). http://dx.doi.org/10.1007/jhep08(2023)108.

Full text
Abstract:
Abstract We merge together recent developments in the S-matrix bootstrap program to develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of massive particles and matrix elements of local operators. In particular, the stress energy tensor allows us to input UV constraints on IR observables in terms of the central charge cUV of the UV Conformal Field Theory. We consider two applications: (1) We establish a rigorous lower bound on cUV of a class of ℤ2 symmetric scalar theories in the IR (including ϕ4); (2) We target Ising Field Theory by, first, minimizing cUV for d
APA, Harvard, Vancouver, ISO, and other styles
33

He, Yifei, Andrew Irrgang, and Martin Kruczenski. "A note on the S-matrix bootstrap for the 2d O(N) bosonic model." Journal of High Energy Physics 2018, no. 11 (2018). http://dx.doi.org/10.1007/jhep11(2018)093.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

Gabai, Barak, and Xi Yin. "On the S-matrix of Ising field theory in two dimensions." Journal of High Energy Physics 2022, no. 10 (2022). http://dx.doi.org/10.1007/jhep10(2022)168.

Full text
Abstract:
Abstract We explore the analytic structure of the non-perturbative S-matrix in arguably the simplest family of massive non-integrable quantum field theories: the Ising field theory (IFT) in two dimensions, which may be viewed as the Ising CFT deformed by its two relevant operators, or equivalently, the scaling limit of the Ising model in a magnetic field. Our strategy is that of collider physics: we employ Hamiltonian truncation method (TFFSA) to extract the scattering phase of the lightest particles in the elastic regime, and combine it with S-matrix bootstrap methods based on unitarity and a
APA, Harvard, Vancouver, ISO, and other styles
35

Tourkine, Piotr, and Alexander Zhiboedov. "Scattering from production in 2d." Journal of High Energy Physics 2021, no. 7 (2021). http://dx.doi.org/10.1007/jhep07(2021)228.

Full text
Abstract:
Abstract In 1968, Atkinson proved the existence of functions that satisfy all S-matrix axioms in four spacetime dimensions. His proof is constructive and to our knowledge it is the only result of this type. Remarkably, the methods to construct such functions used in the proof were never implemented in practice. In the present paper, we test the applicability of those methods in the simpler setting of two-dimensional S-matrices. We solve the problem of reconstructing the scattering amplitude starting from a given particle production probability. We do this by implementing two numerical iterativ
APA, Harvard, Vancouver, ISO, and other styles
36

Cortes Cubero, Axel. "Integrable Floquet QFT: Elasticity and factorization under periodic driving." SciPost Physics 5, no. 3 (2018). http://dx.doi.org/10.21468/scipostphys.5.3.025.

Full text
Abstract:
In (1+1)-dimensional quantum field theory, integrability is typically defined as the existence of an infinite number of local charges of different Lorentz spin, which commute with the Hamiltonian. A well known consequence of integrability is that scattering of particles is elastic and factorizable. These properties are the basis for the bootstrap program, which leads to the exact computation of S-matrices and form factors. We consider periodically-driven field theories, whose stroboscopic time-evolution is described by a Floquet Hamiltonian. It was recently proposed by Gritsev and Polkovnikov
APA, Harvard, Vancouver, ISO, and other styles
37

Antunes, António, Miguel S. Costa, João Penedones, Aaditya Salgarkar, and Balt C. van Rees. "Towards bootstrapping RG flows: sine-Gordon in AdS." Journal of High Energy Physics 2021, no. 12 (2021). http://dx.doi.org/10.1007/jhep12(2021)094.

Full text
Abstract:
Abstract The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow. In this paper we carry out this analysis for the sine-Gordon RG flows in AdS2, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds. We num
APA, Harvard, Vancouver, ISO, and other styles
38

Caron-Huot, Simon, Dalimil Mazáč, Leonardo Rastelli, and David Simmons-Duffin. "AdS bulk locality from sharp CFT bounds." Journal of High Energy Physics 2021, no. 11 (2021). http://dx.doi.org/10.1007/jhep11(2021)164.

Full text
Abstract:
Abstract It is a long-standing conjecture that any CFT with a large central charge and a large gap ∆gap in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conjecture by deriving numerical bounds on bulk Wilson coefficients in terms of ∆gap using the conformal bootstrap. Our bounds exhibit the scaling in ∆gap expected from dimensional analysis in the bulk. Our main tools are dispersive sum rules that provide a dictionary between CFT dispersion relations and S-matrix dispersion relations in appropriate limits
APA, Harvard, Vancouver, ISO, and other styles
39

Duary, Sarthak. "Celestial amplitude for 2d theory." Journal of High Energy Physics 2022, no. 12 (2022). http://dx.doi.org/10.1007/jhep12(2022)060.

Full text
Abstract:
Abstract We explore celestial amplitude corresponding to 2d bulk $$ \mathcal{S} $$ S -matrix. We consider scalar particles with identical mass and show that the celestial amplitude becomes the fourier transform of the 2d$$ \mathcal{S} $$ S -matrix written in the rapidity variable. We translate the crossing and unitarity conditions into the conditions on the celestial amplitude. For the 2d Sinh-Gordon model, we calculate the celestial amplitude perturbatively in coupling constant and check that the crossing and unitarity conditions are satisfied for the celestial amplitude. Imposing the crossin
APA, Harvard, Vancouver, ISO, and other styles
40

Haldar, Parthiv, Aninda Sinha, and Ahmadullah Zahed. "Quantum field theory and the Bieberbach conjecture." SciPost Physics 11, no. 1 (2021). http://dx.doi.org/10.21468/scipostphys.11.1.002.

Full text
Abstract:
An intriguing correspondence between ingredients in geometric function theory related to the famous Bieberbach conjecture (de Branges’ theorem) and the non-perturbative crossing symmetric representation of 2-2 scattering amplitudes of identical scalars is pointed out. Using the dispersion relation and unitarity, we are able to derive several inequalities, analogous to those which arise in the discussions of the Bieberbach conjecture. We derive new and strong bounds on the ratio of certain Wilson coefficients and demonstrate that these are obeyed in one-loop \phi^4ϕ4 theory, tree level string t
APA, Harvard, Vancouver, ISO, and other styles
41

Alday, Luis F., Shai M. Chester, and Tobias Hansen. "Modular invariant holographic correlators for $$ \mathcal{N} $$ = 4 SYM with general gauge group." Journal of High Energy Physics 2021, no. 12 (2021). http://dx.doi.org/10.1007/jhep12(2021)159.

Full text
Abstract:
Abstract We study the stress tensor four-point function for $$ \mathcal{N} $$ N = 4 SYM with gauge group G = SU(N), SO(2N + 1), SO(2N) or USp(2N) at large N . When G = SU(N), the theory is dual to type IIB string theory on AdS5× S5 with complexified string coupling τs, while for the other cases it is dual to the orbifold theory on AdS5× S5/ℤ2. In all cases we use the analytic bootstrap and constraints from localization to compute 1-loop and higher derivative tree level corrections to the leading supergravity approximation of the correlator. We give perturbative evidence that the localization c
APA, Harvard, Vancouver, ISO, and other styles
42

Maity, Pronobesh. "Positivity of the Veneziano amplitude in D = 4." Journal of High Energy Physics 2022, no. 4 (2022). http://dx.doi.org/10.1007/jhep04(2022)064.

Full text
Abstract:
Abstract The Veneziano amplitude was put forward as a solution to the axioms of the S-matrix bootstrap. However, unitarity, reflected in the positivity of the coefficients in the Gegenbauer expansion of the amplitude is not obvious. In this note we compute the generating function of these coefficients in terms of the Appell hypergeometric function. We use this to read off an exact form of this coefficient on the leading Regge trajectory in D = 4. We find that it decays with the spin but always remains positive. Since for large spin these coefficients are expected to be smaller than those on th
APA, Harvard, Vancouver, ISO, and other styles
43

Lencsés, Máté, Giuseppe Mussardo, and Gabor Takacs. "Quantum integrability vs experiments: correlation functions and dynamical structure factors." Journal of Physics A: Mathematical and Theoretical, August 21, 2023. http://dx.doi.org/10.1088/1751-8121/acf255.

Full text
Abstract:
Abstract Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on
their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the
exact spectrum of particles and their on-shell dynamics, the expression of the matrix elements of
the various operators allows the reconstruction of off-shell quantities such as two-point correlation
functions with a high level of precision. In this review, we summarise results relevant to the contact
point between theory and experiment providing a number of
APA, Harvard, Vancouver, ISO, and other styles
44

Alday, Luis F., Shai M. Chester, and Himanshu Raj. "6d (2, 0) and M-theory at 1-loop." Journal of High Energy Physics 2021, no. 1 (2021). http://dx.doi.org/10.1007/jhep01(2021)133.

Full text
Abstract:
Abstract We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric (2, 0) AN−1 and DN theories, which have no Lagrangian description, but in the large N limit are holographically dual to weakly coupled M-theory on AdS7× S4 and AdS7× S4/ℤ2, respectively. We use the analytic bootstrap to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R4 vertices, which is the first 1-loop correction computed for a non-Lagrangian theory. We then take the flat space limit and f
APA, Harvard, Vancouver, ISO, and other styles
45

Guerrieri, Andrea, Harish Murali, Joao Penedones, and Pedro Vieira. "Where is M-theory in the space of scattering amplitudes?" Journal of High Energy Physics 2023, no. 6 (2023). http://dx.doi.org/10.1007/jhep06(2023)064.

Full text
Abstract:
Abstract We use the S-matrix bootstrap to carve out the space of unitary, analytic, crossing symmetric and supersymmetric graviton scattering amplitudes in nine, ten and eleven dimensions. We extend and improve the numerical methods of our previous work in ten dimensions. A key new tool employed here is unitarity in the celestial sphere. In all dimensions, we find that the minimal allowed value of the Wilson coefficient α, controlling the leading correction to maximal supergravity, is very close but not equal to the minimal value realized in Superstring theory or M-theory. This small differenc
APA, Harvard, Vancouver, ISO, and other styles
46

Alday, Luis F., Shai M. Chester, and Himanshu Raj. "M-theory on AdS4 × S7 at 1-loop and beyond." Journal of High Energy Physics 2022, no. 11 (2022). http://dx.doi.org/10.1007/jhep11(2022)091.

Full text
Abstract:
Abstract We study graviton scattering on AdS4× S7, which is dual to the stress tensor multiplet four-point function in the maximally supersymmetric 3d U(N)1× U(N)−1 ABJM theory. We compute 1-loop corrections to this holographic correlator coming from Witten diagrams with supergravity R and higher derivative R4 vertices, up to contact term ambiguities, and find that the flat space limit matches the corresponding terms in the 11d M-theory S-matrix. We then use supersymmetric localization to show that all the 1-loop contact terms vanish, as was previously observed for the AdS4× S7/ℤ2 theory dual
APA, Harvard, Vancouver, ISO, and other styles
47

Mojahed, Martin A., and Tomáš Brauner. "Nonrelativistic effective field theories with enhanced symmetries and soft behavior." Journal of High Energy Physics 2022, no. 3 (2022). http://dx.doi.org/10.1007/jhep03(2022)086.

Full text
Abstract:
Abstract We systematically explore the landscape of nonrelativistic effective field theories with a local S-matrix and enhanced symmetries and soft behavior. The exploration is carried out using both conventional quantum field theory methods based on symmetry arguments, and recently developed on-shell recursion relations. We show that, in contrary to relativistic theories, enhancement of the soft limit of scattering amplitudes in nonrelativistic theories is generally not a byproduct of symmetry alone, but requires additional low-energy data. Sufficient conditions for enhanced scattering amplit
APA, Harvard, Vancouver, ISO, and other styles
48

Mohd. Azmi, Nurulhuda Firdaus, Habshah Midi, and Noranita Fairus Ismail. "The Performance of Clustering Approach with Robust MM–Estimator for Multiple Outlier Detection in Linear Regression." Jurnal Teknologi, January 20, 2012. http://dx.doi.org/10.11113/jt.v45.320.

Full text
Abstract:
Pengenalpastian cerapan data yang terpencil daripada kelompok cerapan merupakan langkah asas dalam membina model regresi. Oleh kerana cerapan data yang terpencil ini memberi kesan kepada model yang dibangunkan, pelbagai ukuran terhadap pengenalpastian cerapan data yang terpencil telah dibina. Sebagai contoh, ukuran residual dan ukuran matrik identiti bagi hat matrix. Walau bagaimanapun, ukuran-ukuran ini hanya dapat mengukur dengan baik jika di dalam set data itu terkandung hanya satu atau sedikit cerapan data yang terpencil, walhal jika data dicerap berdasarkan kepada persekitaran sebenar ber
APA, Harvard, Vancouver, ISO, and other styles
49

Bajnok, Zoltán, and Ladislav Šamaj. "Introduction to Integrable Many-Body systems III." Acta Physica Slovaca. Reviews and Tutorials 61, no. 2 (2011). http://dx.doi.org/10.2478/v10155-011-0002-x.

Full text
Abstract:
Introduction to Integrable Many-Body systems IIIThis is the third part of a three-volume introductory course about integrable systems of interacting bodies. The emphasis is put onto the method of Thermodynamic Bethe ansatz. Two kinds of integrable models are studied. Systems of itinerant electrons, forming a part of Condensed Matter Physics, involve the Hubbard lattice model of electrons with short-ranged one-site interactions (Sect. 20) and the s-d exchange Kondo model (Sect. 21), describing the scattering of conduction electrons on a spin-s impurity. Methods and basic concepts used in Quantu
APA, Harvard, Vancouver, ISO, and other styles
50

Castro-Alvaredo, Olalla A., Cecilia De Fazio, Benjamin Doyon, and Aleksandra A. Ziółkowska. "Generalised hydrodynamics of particle creation and decay." Journal of High Energy Physics 2022, no. 4 (2022). http://dx.doi.org/10.1007/jhep04(2022)035.

Full text
Abstract:
Abstract Unstable particles rarely feature in conjunction with integrability in 1+1D quantum field theory. However, the family of homogenous sine-Gordon models provides a rare example where both stable and unstable bound states are present in the spectrum whilst the scattering matrix is diagonal and solves the usual bootstrap equations. In the standard scattering picture, unstable particles result from complex poles of the S-matrix located in the unphysical sheet of rapidity space. Since they are not part of the asymptotic spectrum, their presence is only felt through the effect they have on p
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography