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Relevant bibliographies by topics / Fermionic Zero Modes

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Academic literature on the topic 'Fermionic Zero Modes'

Author: Grafiati

Published: 9 March 2023

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Journal articles on the topic "Fermionic Zero Modes"

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OIKONOMOU, V. K. "HIDDEN SUPERSYMMETRY IN DIRAC FERMION QUASINORMAL MODES OF BLACK HOLES." International Journal of Modern Physics A 28, no. 15 (2013): 1350057. http://dx.doi.org/10.1142/s0217751x13500577.

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We connect the quasinormal modes corresponding to Dirac fermions in various curved space–time backgrounds to an N = 2 supersymmetric quantum mechanics algebra, which can be constructed from the radial part of the fermionic solutions of the Dirac equation. In the massless fermion case, the quasinormal modes are in bijective correspondence with the zero modes of the fermionic system and this results to unbroken supersymmetry. The massive case is more complicated, but as we demonstrate, supersymmetry remains unbroken even in this case.

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DUAN, YISHI, YUXIAO LIU, and YONGQIANG WANG. "FERMIONIC ZERO MODES IN GAUGE AND GRAVITY BACKGROUNDS ON T2." Modern Physics Letters A 21, no. 26 (2006): 2019–25. http://dx.doi.org/10.1142/s0217732306020068.

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Here we study fermionic zero modes in gauge and gravity backgrounds taking a two-dimensional compact manifold T2 as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes under quite general assumptions about these backgrounds on the bulk. Several special cases of gauge background on the torus are discussed and some simple fermionic zero modes are obtained.

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DU, MUYUN, XIYUN DU, and YUEYING XIE. "SCALAR AND FERMION ZERO MODES ON THE THICK BRANE ARISING FROM TWO SCALAR FIELDS." Modern Physics Letters A 23, no. 37 (2008): 3179–86. http://dx.doi.org/10.1142/s0217732308026492.

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In this note we study scalar and fermion zero modes on the brane arising from two scalar fields. The result is that there exist normalizable massless modes of scalar fields which can be localized on the brane. While, for spin 1/2 and spin 3/2 fermions, the corresponding zero modes are non-normalizable. Thus, some mechanism such as Yukawa coupling should be introduced for the localization of these fermionic fields on the thick brane.

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WANG, YONGQIANG, TIEYAN SI, YUXIAO LIU, and YISHI DUAN. "FERMIONIC ZERO MODES IN SELF-DUAL VORTEX BACKGROUND." Modern Physics Letters A 20, no. 39 (2005): 3045–53. http://dx.doi.org/10.1142/s0217732305018037.

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We study fermionic zero modes in the background of self-dual vortex on a two-dimensional non-compact extra space in 5+1 dimensions. In the Abelian Higgs model, we present a unified description of the topological and non-topological self-dual vortex on the extra two dimensions. Based on it, we study the localization of bulk fermions on a brane with the inclusion of Yang–Mills and gravity backgrounds in six dimensions. Through two simple cases, it is shown that the vortex background contributes a phase shift to the fermionic zero mode, this phase is actually origin from the Aharonov–Bohm effect.

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KITAZAWA, NORIAKI. "FERMIONIC ZERO-MODES IN TYPE II FIVE-BRANE BACKGROUNDS." Modern Physics Letters A 17, no. 40 (2002): 2617–25. http://dx.doi.org/10.1142/s0217732302009404.

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The explicit form of the fermionic zero-modes in the five-brane backgrounds of type IIA and IIB supergravity theories is investigated. In type IIA five-brane background there are four zero-modes of gravitinos and dilatinos. In type IIB five-brane background four zero-modes of dilatinos and no zero-modes of gravitinos are found. These zero-modes indicate the four-fermion condensates which have been suggested in a calculation of the tension of the D-brane in five-brane backgrounds.

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LIU, YU-XIAO, LI ZHAO, LI-JIE ZHANG, and YI-SHI DUAN. "FERMIONIC ZERO MODES IN SELF-DUAL VORTEX BACKGROUND ON A SPHERE." International Journal of Modern Physics A 22, no. 21 (2007): 3643–53. http://dx.doi.org/10.1142/s0217751x07037068.

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We study fermionic zero modes in the self-dual vortex background on an extra two-dimensional Riemann surface in 5+1 dimensions. Using the generalized Abelian Higgs model, we obtain the inner topological structure of the self-dual vortex and establish the exact self-duality equation with topological term. Then we analyze the Dirac operator on an extra sphere and the effective Lagrangian of four-dimensional fermions with the self-dual vortex background. Solving the Dirac equation, the fermionic zero modes on a sphere in two simple cases are obtained.

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NAKAMURA, A., and K. SHIRAISHI. "ZERO MODES IN VORTEX-FERMION SYSTEM WITH COMPACT EXTRA SPACE." Modern Physics Letters A 05, no. 14 (1990): 1109–17. http://dx.doi.org/10.1142/s0217732390001244.

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The existence of fermionic zero modes is shown in the presence of vortex configuration of pure SU(2) gauge field on the manifold M4 × S2. From the perspective of four-dimensional effective theory, these zero modes are almost the same as the Jackiw-Rossi type zero modes of the vortex-fermion system.

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Berruto, Federico, Rajamani Narayanan, and Herbert Neuberger. "Exact local fermionic zero modes." Physics Letters B 489, no. 1-2 (2000): 243–50. http://dx.doi.org/10.1016/s0370-2693(00)00905-9.

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BELYAEV, V. M., and IAN I. KOGAN. "MASSLESS FERMIONS IN KALUZA-KLEIN MODELS: SU(N) GAUGE FIELDS, ZN SYMMETRY AND STABILITY OF THE METASTABLE VACUUM." Modern Physics Letters A 07, no. 02 (1992): 117–29. http://dx.doi.org/10.1142/s0217732392000057.

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Kaluza-Klein model on M4×S1 with SU (N) gauge fields and Nf fermions in fundamental representation is considered. It is noted that on one-loop level the lowest state of this theory corresponds to effective four-dimensional theory which has no massless fermions. This statement does not depend on fermion boundary conditions. The state with mass-less four-dimensional fermions is metastable. It is shown that this metastable states can be stabilized by effects of classical gravitation. The same problem of metastability of states with zero fermionic modes can appear in more realistic superstring com

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OIKONOMOU, V. K. "ONE-DIMENSIONAL SUPERSYMMETRIC ALGEBRAS IN COLOR SUPERCONDUCTORS AND REISSNER–NORDSTRÖM–ANTI-DE SITTER GRAVITATIONAL SYSTEMS." International Journal of Modern Physics A 28, no. 19 (2013): 1350090. http://dx.doi.org/10.1142/s0217751x13500905.

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We study two fermionic systems that have an underlying supersymmetric structure, namely a color superconductor and Dirac fermion in a Reissner–Nordström–anti-de Sitter gravitational background. In the chiral limit of the color superconductor, the localized fermionic zero modes around the vortex form an N = 2 with zero central charge d = 1 quantum algebra, with all the operators being Fredholm. We compute the Witten index of this algebra and we find an unbroken supersymmetry. The fermionic gravitational system in the chiral limit too, has two underlying unbroken N = 2, d = 1 supersymmetric alge

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Dissertations / Theses on the topic "Fermionic Zero Modes"

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Agostinelli, Chiara. "Edge states and zero modes in quadratic fermionic models on a 1-D lattice." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9344/.

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In una formulazione rigorosa della teoria quantistica, la definizione della varietà Riemanniana spaziale su cui il sistema è vincolato gioca un ruolo fondamentale. La presenza di un bordo sottolinea l'aspetto quantistico del sistema: l'imposizione di condizioni al contorno determina la discretizzazione degli autovalori del Laplaciano, come accade con condizioni note quali quelle periodiche, di Neumann o di Dirichlet. Tuttavia, non sono le uniche possibili. Qualsiasi condizione al bordo che garantisca l'autoaggiunzione dell' operatore Hamiltoniano è ammissibile. Tutte le possibili bounda

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Gentile, Lorenzo Giulio Celso. "Supergravity Solitons, their Superpartners and Fluid/Gravity Correspondence." Doctoral thesis, Università degli studi di Padova, 2015. http://hdl.handle.net/11577/3423902.

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The first part of this thesis aims to explore the effects caused by the presence of Grassmann numbers in the fluid/gravity correspondence. We extend the fluid/gravity correspondence by considering supergravity theories in the bulk and by computing the black hole superpartner. The resulting metric is a supergravity black hole solution with its associated charges and entropy dependent upon Grassmann numbers. Moreover by fluid/gravity techniques we find that also the fluid dynamics parameters, such as the temperature and the velocity, are in general affected by Grassmann numbers. In the second

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Zverev, Nikolai. "Algorithmic studies of compact lattice QED with Wilson fermions." Doctoral thesis, [S.l.] : [s.n.], 2001. http://deposit.ddb.de/cgi-bin/dokserv?idn=963575082.

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Yang, Lu [Verfasser], and F. R. [Akademischer Betreuer] Klinkhamer. "Exploration of fermion zero modes and spherically symmetric gauge fields / Lu Yang. Betreuer: F. R. Klinkhamer." Karlsruhe : KIT-Bibliothek, 2015. http://d-nb.info/107525390X/34.

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Vásquez, Angel Eduardo Obispo [UNESP]. "Anomalias e números fermiônicos induzidos em grafeno com deformações." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/136234.

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Chu, Yi-Zen. "FieldTheory__." Case Western Reserve University School of Graduate Studies / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=case1275928471.

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Books on the topic "Fermionic Zero Modes"

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Kachelriess, Michael. Anomalies, instantons and axions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0017.

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The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanati

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Book chapters on the topic "Fermionic Zero Modes"

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GRIGORY E., VOLOVIK. "Fermion Zero Modes on Vortices." In The Universe in a Helium Droplet. Oxford University Press, 2009. http://dx.doi.org/10.1093/acprof:oso/9780199564842.003.0023.

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GRIGORY E., VOLOVIK. "Edge States and Fermion Zero Modes on Soliton." In The Universe in a Helium Droplet. Oxford University Press, 2009. http://dx.doi.org/10.1093/acprof:oso/9780199564842.003.0022.

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Cañete Mesa, Rafael. "Phasic Structure of the Standard Model." In Redefining Standard Model Particle Physics [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.109384.

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We present a physical relationship able to justify by itself the whole spectrum of fundamental particles of matter (fermions), that is, the hierarchical structure, the value of their masses, the basis of those values and the analytical and positional relation of the same. A hierarchy supported on an element of periodicity or sequence of differentiated states (phases) that makes it resemble a periodic table of elementary particles, which allows us to define material states not well defined until now and others unregistered, with which it is precisely evidenced that there has to exist a particle M=171.87eV, or an equivalent energy entity, which represents a common zero generation to (anti)quarks and charged (anti)leptons, as well as a mediator particle in the connection of these with (anti)neutrinos, for which, by applying this methodology, we obtain a massive base ν1,ν2,ν3, consistent with the theoretical and experimental requirements for neutrino oscillation, which allows us to explain the CP violation. Previously, we obtained, by means of the quantum wave formulation, a symmetrized wave packet (SWP) and an associated energy transmutation equation, equivalent, although more general and precise, to the one obtained by means of a corpuscular treatment, this one that we will use and accounts for all the transitions between particles.

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Zinn-Justin, Jean. "Abelian gauge theories: The framework of quantum electrodynamics (QED)." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0021.

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This chapter is devoted Abelian gauge theory, whose physical realization is quantum electrodynamics (QED). Since many textbooks deal extensively with QED, the chapter focusses mainly on the more formal properties of Abelian gauge theories. First, the free massive vector field is considered, because its quantization does not immediately follow from the quantization of the scalar field, and thus requires a specific analysis. If the vector field is coupled to a conserved current, it is possible to construct a field theory with fermion matter renormalizable in four dimensions. In this case, a massless vector limit can be defined, and the corresponding field theory is gauge invariant. To directly quantize a gauge theory starting directly from first principles, it is necessary to introduce gauge fixing. The formal equivalence between different gauges is established. The Abelian gauge symmetry, broken by gauge-fixing terms, leads to a set of Ward–Takahashi (WT) identities which are used to prove the renormalizability of the quantum field theory (QFT). Renormalization group (RG) equations follow, and the RG β-function is calculated at leading order. As an introduction to the Standard Model of particle physics, the Abelian Landau–Ginzburg–Higgs model is described, where the gauge field is coupled to a complex scalar field with a non-zero expectation value, leading to a model that classically also describes a superconductor in a magnetic field.

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Zinn-Justin, Jean. "Perturbative quantum field theory (QFT): Algebraic methods." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0007.

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This chapter discusses systematically the algebraic properties of perturbation theory in the example of a local, relativistic scalar quantum field theory (QFT). Although only scalar fields are considered, many results can be easily generalized to relativistic fermions. The Euclidean formulation of QFT, based on the density matrix at thermal equilibrium, is studied, mainly in the simpler zero-temperature limit, where all d coordinates, Euclidean time and space, can be treated symmetrically. The discussion is based on field integrals, which define a functional measure. The corresponding expectation values of product of fields called correlation functions are analytic continuations to imaginary (Euclidean) time of the vacuum expectation values of time-ordered products of field operators. They have also an interpretation as correlation functions in some models of classical statistical physics, in continuum formulations or, at equal time, of finite temperature QFT. The field integral, corresponding to an action to which a term linear in the field coupled to an external source J has been added, defines a generating functional Z(J) of field correlation functions. The functional W(J) = ln Z(J) is the generating functional of connected correlation functions, to which contribute only connected Feynman diagrams. In a local field theory connected correlation functions, as a consequence of locality, have cluster properties. The Legendre transform Γ(φ) [N1]of W(J) is the generating functional of vertex functions. To vertex functions contribute only one-line irreducible Feynman diagrams, also called one-particle irreducible (1PI).

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Conference papers on the topic "Fermionic Zero Modes"

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Hasegawa, Masayasu, and Adriano Di Giacomo. "Zero modes of overlap fermions, instantons and monopoles." In The 32nd International Symposium on Lattice Field Theory. Sissa Medialab, 2015. http://dx.doi.org/10.22323/1.214.0341.

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Cundy, Nigel D. "Zero mode topology with dynamical overlap fermions." In XXIVth International Symposium on Lattice Field Theory. Sissa Medialab, 2006. http://dx.doi.org/10.22323/1.032.0049.

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Kawarabayashi, Tohru, Takahiro Honda, Hideo Aoki, and Yasuhiro Hatsugai. "Chiral symmetry and fermion doubling in the zero-mode Landau levels of massless Dirac fermions with disorder." In THE PHYSICS OF SEMICONDUCTORS: Proceedings of the 31st International Conference on the Physics of Semiconductors (ICPS) 2012. AIP, 2013. http://dx.doi.org/10.1063/1.4848396.

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Lee, Bum-Hoon, Choonkyu Lee, and Hyunsoo Min. "Supersymmetric Chern-Simons vortex systems and fermion zero modes." In Proceedings of the XXVI International Conference on High Energy Physics. Vol. II. AIP, 1992. http://dx.doi.org/10.1063/1.43392.

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Furui, Sadataka. "Self-dual gauge fields and domain wall fermion zero modes." In The XXVII International Symposium on Lattice Field Theory. Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0227.

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Akemann, Gernot, and Elmar Bittner. "Two-colour Lattice QCD with dynamical fermions at non-zero density versus Matrix Models." In XXIIIrd International Symposium on Lattice Field Theory. Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0197.

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Reports on the topic "Fermionic Zero Modes"

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Kallosh, R. Couting Fermionic Zero Modes on M5 with Fluxes. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/839939.

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