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Title: Dynamical breakdown of Abelian gauge chiral symmetry by strong Yukawa interactions

Abstract

We consider a model with anomaly-free Abelian gauge axial-vector symmetry, which is intended to mimic the standard electroweak gauge chiral SU(2){sub L}xU(1){sub Y} theory. Within this model we demonstrate: (1) Strong Yukawa interactions between massless fermion fields and a massive scalar field carrying the axial charge generate dynamically the fermion and boson proper self-energies, which are ultraviolet-finite and chirally noninvariant. (2) Solutions of the underlying Schwinger-Dyson equations found numerically exhibit a huge amplification of the fermion mass ratios as a response to mild changes of the ratios of the Yukawa couplings. (3) The 'would-be' Nambu-Goldstone boson is a composite of both the fermion and scalar fields, and it gives rise to the mass of the axial-vector gauge boson. (4) Spontaneous breakdown of the gauge symmetry further manifests by mass splitting of the complex scalar and by new symmetry-breaking vertices, generated at one loop. In particular, we work out in detail the cubic vertex of the Abelian gauge boson.

Authors:
;  [1];  [2];  [1]
  1. Department of Theoretical Physics, Nuclear Physics Institute, Rez (Prague) (Czech Republic)
  2. (Czech Republic)
Publication Date:
OSTI Identifier:
21020105
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevD.75.056003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; FERMIONS; GAUGE INVARIANCE; GOLDSTONE BOSONS; MATHEMATICAL SOLUTIONS; REST MASS; SCALAR FIELDS; SCHWINGER FUNCTIONAL EQUATIONS; SELF-ENERGY; STANDARD MODEL; STRONG INTERACTIONS; SU-2 GROUPS; SYMMETRY BREAKING; U-1 GROUPS; ULTRAVIOLET RADIATION

Citation Formats

Benes, Petr, Brauner, Tomas, Faculty of Mathematics and Physics, Charles University, Prague, and Hosek, Jiri. Dynamical breakdown of Abelian gauge chiral symmetry by strong Yukawa interactions. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.056003.
Benes, Petr, Brauner, Tomas, Faculty of Mathematics and Physics, Charles University, Prague, & Hosek, Jiri. Dynamical breakdown of Abelian gauge chiral symmetry by strong Yukawa interactions. United States. doi:10.1103/PHYSREVD.75.056003.
Benes, Petr, Brauner, Tomas, Faculty of Mathematics and Physics, Charles University, Prague, and Hosek, Jiri. Thu . "Dynamical breakdown of Abelian gauge chiral symmetry by strong Yukawa interactions". United States. doi:10.1103/PHYSREVD.75.056003.
@article{osti_21020105,
title = {Dynamical breakdown of Abelian gauge chiral symmetry by strong Yukawa interactions},
author = {Benes, Petr and Brauner, Tomas and Faculty of Mathematics and Physics, Charles University, Prague and Hosek, Jiri},
abstractNote = {We consider a model with anomaly-free Abelian gauge axial-vector symmetry, which is intended to mimic the standard electroweak gauge chiral SU(2){sub L}xU(1){sub Y} theory. Within this model we demonstrate: (1) Strong Yukawa interactions between massless fermion fields and a massive scalar field carrying the axial charge generate dynamically the fermion and boson proper self-energies, which are ultraviolet-finite and chirally noninvariant. (2) Solutions of the underlying Schwinger-Dyson equations found numerically exhibit a huge amplification of the fermion mass ratios as a response to mild changes of the ratios of the Yukawa couplings. (3) The 'would-be' Nambu-Goldstone boson is a composite of both the fermion and scalar fields, and it gives rise to the mass of the axial-vector gauge boson. (4) Spontaneous breakdown of the gauge symmetry further manifests by mass splitting of the complex scalar and by new symmetry-breaking vertices, generated at one loop. In particular, we work out in detail the cubic vertex of the Abelian gauge boson.},
doi = {10.1103/PHYSREVD.75.056003},
journal = {Physical Review. D, Particles Fields},
number = 5,
volume = 75,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2007},
month = {Thu Mar 01 00:00:00 EST 2007}
}