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Relevant bibliographies by topics / Quantum field theory, conformal field theory, anomalous dimensions

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Academic literature on the topic 'Quantum field theory, conformal field theory, anomalous dimensions'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Quantum field theory, conformal field theory, anomalous dimensions"

1

MUSSARDO, G. "INTEGRABLE DEFORMATIONS OF THE NONUNITARY MINIMAL CONFORMAL MODEL ℳ3,5". International Journal of Modern Physics A 07, № 20 (1992): 5027–44. http://dx.doi.org/10.1142/s0217751x92002295.

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The scaling region of the nonunitary minimal conformal model M3,5 is described by three different integrable massive field theories. We propose the scattering theory for the integrable deformation of M3,5 by the field ψ with anomalous dimensions [Formula: see text]. The spectrum of this theory is confirmed by the Truncation Conformal Space Approach. We also consider the thermodynamics of the one-dimensional quantum system defined by the transfer matrix relative to the deformation of M3,5 by the field φ with anomalous dimensions [Formula: see text]. This deformation drives the original conforma

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STANEV, YASSEN S., and IVAN T. TODOROV. "TOWARDS A CONFORMAL QED4 WITH A NONVANISHING CURRENT 2-POINT FUNCTION." International Journal of Modern Physics A 03, no. 04 (1988): 1023–49. http://dx.doi.org/10.1142/s0217751x88000448.

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The possibility of constructing a conformally invariant model of spinor quantum electrodynamics (QED) in four dimensions involving an anomalous dimension of the electron field and a general indecomposable conformal law for the Maxwell field Fµν is studied within the local indefinite metric framework making systematic use of conformal operator product expansions (OPEs). It is demonstrated that the standard elementary conformal law for Fµν, which is known to yield a vanishing current-current 2-point function leads to a trivial theory. On the other hand, the conformal invariant 2-point function &

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FRADKIN, E. S., and M. YA. PALCHIK. "METHOD OF SOLVING CONFORMAL MODELS IN D-DIMENSIONAL SPACE II A FAMILY OF EXACTLY SOLVABLE MODELS IN D>2." International Journal of Modern Physics A 13, no. 28 (1998): 4787–835. http://dx.doi.org/10.1142/s0217751x98002262.

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We study a family of exactly solvable models of conformally invariant quantum field theory in D-dimensional space. We demonstrate the existence of D-dimensional analogs of primary and secondary fields. Under the action of the energy–momentum tensor and conserved currents, the primary field creates an infinite set of (tensor) secondary fields of different generations. The commutators of secondary fields with zero components of the current and energy–momentum tensor include anomalous operator terms. We show that the Hilbert space of conformal theory has a special sector whose structure is solely

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CASTRO, CARLOS. "STRINGS AND MEMBRANES FROM EINSTEIN GRAVITY, MATRIX MODELS AND W∞ GAUGE THEORIES AS PATHS TO QUANTUM GRAVITY." International Journal of Modern Physics A 23, no. 24 (2008): 3901–45. http://dx.doi.org/10.1142/s0217751x08041621.

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It is shown how w∞, w1+∞ gauge field theory actions in 2D emerge directly from 4D gravity. Strings and membranes actions in 2D and 3D originate as well from 4D Einstein gravity after recurring to the nonlinear connection formalism of Lagrange–Finsler and Hamilton–Cartan spaces. Quantum gravity in 3D can be described by a W∞ matrix model in D = 1 that can be solved exactly via the collective field theory method. We describe why a quantization of 4D gravity could be attained via a 2D quantum W∞ gauge theory coupled to an infinite-component scalar-multiplet. A proof that noncritical W∞ (super)str

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Amelino-Camelia, G., I. I. Kogan, and R. J. Szabo. "Conformal dimensions from topologically massive quantum field theory." Nuclear Physics B 480, no. 1-2 (1996): 413–56. http://dx.doi.org/10.1016/s0550-3213(96)00484-1.

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NAHM, W., A. RECKNAGEL, and M. TERHOEVEN. "DILOGARITHM IDENTITIES IN CONFORMAL FIELD THEORY." Modern Physics Letters A 08, no. 19 (1993): 1835–47. http://dx.doi.org/10.1142/s0217732393001562.

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Dilogarithm identities for the central charges and conformal dimensions exist for at least large classes of rational conformally invariant quantum field theories in two dimensions. In many cases, proofs are not yet known but the numerical and structural evidence is convincing. In particular, close relations exist to fusion rules and partition identities. We describe some examples and ideas, and present conjectures useful for the classification of conformal theories. The mathematical structures seem to be dual to Thurston’s program for the classification of three-manifolds.

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Giedt, Joel. "Anomalous dimensions on the lattice." International Journal of Modern Physics A 31, no. 10 (2016): 1630011. http://dx.doi.org/10.1142/s0217751x16300118.

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We review methods and results for extracting the anomalous dimensions of operators from lattice field theory calculations. The most important application is the anomalous mass dimension in conformal or nearly conformal gauge field theories which might be related to dynamical electroweak symmetry breaking. Some discussion of the underlying theory of renormalization and mixing of operators is also included.

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Bakas, Ioannis, and Elias B. Kiritsis. "Universal W-Algebras in Quantum Field Theory." International Journal of Modern Physics A 06, no. 16 (1991): 2871–90. http://dx.doi.org/10.1142/s0217751x91001428.

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We outline some of the main results derived recently on the representation theory of universal W-algebras, which arise in two dimensional field theory as large N limits of WN (extended) conformal symmetries. Certain connections with integrable systems of non-linear differential equations, hyper-Kähler geometries in four spacetime dimensions and the infinitely long chain of hermitian matrix models are also discussed.

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HAMADA, KEN-JI. "CONFORMAL FIELD THEORY ON R × S3 FROM QUANTIZED GRAVITY." International Journal of Modern Physics A 24, no. 16n17 (2009): 3073–110. http://dx.doi.org/10.1142/s0217751x0904422x.

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Conformal algebra on R × S3 derived from quantized gravitational fields is examined. The model we study is a renormalizable quantum theory of gravity in four dimensions described by a combined system of the Weyl action for the traceless tensor mode and the induced Wess–Zumino action managing nonperturbative dynamics of the conformal factor in the metric field. It is shown that the residual diffeomorphism invariance in the radiation+ gauge is equal to the conformal symmetry, and the conformal transformation preserving the gauge-fixing condition that forms a closed algebra quantum mechanically i

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Fateev, V. A., and A. B. Zamolodchikov. "Conformal quantum field theory models in two dimensions having Z3 symmetry." Nuclear Physics B 280 (January 1987): 644–60. http://dx.doi.org/10.1016/0550-3213(87)90166-0.

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Dissertations / Theses on the topic "Quantum field theory, conformal field theory, anomalous dimensions"

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Todorov, I. T., and todorov@inrne bas bg. "Two--Dimensional Conformal Field Theory and Beyond. Lessons from a." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi986.ps.

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Söderberg, Alexander. "Anomalous Dimensions in the WF O(N) Model with a Monodromy Line Defect." Thesis, Uppsala universitet, Teoretisk fysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-317546.

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General ideas in the conformal bootstrap program are covered. Both numerical and analytical approaches to the bootstrap equation are reviewed to show how it can be manipulated in different ways. Further analytical approaches are studied for theories with defects. We consider the three-dimensional CFT at the corresponding WF fixed point in the O(N) \phi^4 model with a co-dimension two, monodromy defect. Anomalous dimensions for bulk- and defect-local fields as well as one of the OPE coefficients are found to the first loop order. Implications of inserting this defect and constraints that arises

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3

Longino, Brando. "Exact S-matrices for a class of 1+1-dimensional integrable factorized scattering theories with Uq(sl2) symmetry and arbitrary spins." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20542/.

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In this thesis we will study the S-matrices associated to a new class of (1+1)-dimensional integrable models with Uq(sl2) symmetry, whose asymptotic particle states organize into a k/2 isospin multiplet, with k= 0,1,2,... Such S-matrices generalize the case study previously analyzed by S. R. Aladim and M. J. Martins, where it was only investigated the non-deformed limit q→1 of pure SU(2) symmetry. We check that the proposed S-matrix satisfies the constraints due to the the Yang-Baxter equation, crossing-symmetry requirement and unitarity and therefore defines a self-consistent integrable fact

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Books on the topic "Quantum field theory, conformal field theory, anomalous dimensions"

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Fradkin, E. S. Conformal quantum field theory in D-dimensions. Kluwer Academic Publishers, 1996.

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Fradkin, Efim S., and Mark Ya Palchik. Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0.

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Jacob, Sonnenschein, ed. Non-perturbative field theory: From two dimensional conformal field theory to QCD in four dimensions. Cambridge University Press, 2009.

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Conformally invariant quantum field theories in two dimensions. World Scientific, 1995.

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Palchik, Mark Ya, and E. S. Fradkin. Conformal Quantum Field Theory in D-dimensions. Springer, 2010.

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6

Sonnenschein, Jacob, and Yitzhak Frishman. Non-Perturbative Field Theory: From Two Dimensional Conformal Field Theory to QCD in Four Dimensions. Cambridge University Press, 2014.

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7

Conformal Quantum Field Theory in d Dimensions: Lecture Notes Volume (Lecture Notes in Physics). World Scientific Pub Co Inc, 1995.

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Book chapters on the topic "Quantum field theory, conformal field theory, anomalous dimensions"

1

Mack, Gerhard. "Introduction to Conformal Invariant Quantum Field Theory in Two and More Dimensions." In Nonperturbative Quantum Field Theory. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0729-7_12.

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Cappelli, Andrea. "The A-D-E Classification of Conformal Invariant Field Theories in Two Dimensions." In Nonperturbative Quantum Field Theory. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0729-7_17.

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3

Fradkin, Efim S., and Mark Ya Palchik. "Euclidean Formulation of the Conformal Theory." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_3.

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Fradkin, Efim S., and Mark Ya Palchik. "Spontaneous Breakdown of Conformal Symmetry." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_5.

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Fradkin, Efim S., and Mark Ya Palchik. "Conformal Invariance in Gauge Theories." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_9.

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Fradkin, Efim S., and Mark Ya Palchik. "Global Conformal Symmetry and Hilbert Space." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_2.

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Fradkin, Efim S., and Mark Ya Palchik. "Goals and Perspectives." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_1.

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8

Fradkin, Efim S., and Mark Ya Palchik. "Special Features of Conformal Transformation of Current, Energy-Momentum Tensor and Gauge Fields." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_10.

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Fradkin, Efim S., and Mark Ya Palchik. "Approximate Methods of Calculating Critical Indices." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_4.

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Fradkin, Efim S., and Mark Ya Palchik. "Ward Identities." In Conformal Quantum Field Theory in D-dimensions. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8757-0_6.

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Conference papers on the topic "Quantum field theory, conformal field theory, anomalous dimensions"

1

Pena, Carlos. "Anomalous dimensions of four-fermion operators from conformal EWSB dynamics." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0086.

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Vogt, Andreas, Franz Herzog, Sven Moch, Ben Ruijl, Takahiro Ueda, and Jos Vermaseren. "Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order." In Loops and Legs in Quantum Field Theory. Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.303.0050.

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Maier, Andreas, Thomas Luthe, Peter Marquard, and York Schröder. "Anomalous dimensions at five loops." In 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology). Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.290.0028.

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Vogt, Andreas, Sven Moch, Ben Ruijl, Takahiro Ueda, and J. A. M. Vermaseren. "Four-loop results on anomalous dimensions and splitting functions in QCD." In 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology). Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.290.0046.

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