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Title: Chiral symmetry breaking without bilinear condensates, unbroken axial Z{sub N} symmetry, and exact QCD inequalities

Abstract

An alternative pattern of chiral symmetry breaking, suggested recently, is investigated. It could be self-consistent provided that the chiral SU(N{sub f}){times}SU(N{sub f}) symmetry is broken spontaneously down to SU(N{sub f}){times}Z{sub N{sub f}} rather than to SU(N{sub f}){sub V}. The discrete axial Z{sub N{sub f}} then would play a custodial role, preventing the quark bilinears from condensation. It is shown that this pattern of chiral symmetry breaking is ruled out in QCD by exact inequalities. It is not ruled out, however, in other gauge theories with scalar quarks and/or Yukawa couplings. {copyright} {ital 1998} {ital The American Physical Society}

Authors:
;  [1];  [2]
  1. Theoretical Physics, Oxford University, 1 Keble Road, Oxford, OX13NP (United Kingdom)
  2. Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota, 55455 (United States)
Publication Date:
OSTI Identifier:
326856
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 59; Journal Issue: 1; Other Information: PBD: Jan 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; AXIAL SYMMETRY; CHIRAL SYMMETRY; SYMMETRY BREAKING; SU GROUPS; QUANTUM CHROMODYNAMICS; QUARK MODEL; SYMMETRY GROUPS

Citation Formats

Kogan, I I, Kovner, A, and Shifman, M. Chiral symmetry breaking without bilinear condensates, unbroken axial Z{sub N} symmetry, and exact QCD inequalities. United States: N. p., 1999. Web. doi:10.1103/PhysRevD.59.016001.
Kogan, I I, Kovner, A, & Shifman, M. Chiral symmetry breaking without bilinear condensates, unbroken axial Z{sub N} symmetry, and exact QCD inequalities. United States. https://doi.org/10.1103/PhysRevD.59.016001
Kogan, I I, Kovner, A, and Shifman, M. Fri . "Chiral symmetry breaking without bilinear condensates, unbroken axial Z{sub N} symmetry, and exact QCD inequalities". United States. https://doi.org/10.1103/PhysRevD.59.016001.
@article{osti_326856,
title = {Chiral symmetry breaking without bilinear condensates, unbroken axial Z{sub N} symmetry, and exact QCD inequalities},
author = {Kogan, I I and Kovner, A and Shifman, M},
abstractNote = {An alternative pattern of chiral symmetry breaking, suggested recently, is investigated. It could be self-consistent provided that the chiral SU(N{sub f}){times}SU(N{sub f}) symmetry is broken spontaneously down to SU(N{sub f}){times}Z{sub N{sub f}} rather than to SU(N{sub f}){sub V}. The discrete axial Z{sub N{sub f}} then would play a custodial role, preventing the quark bilinears from condensation. It is shown that this pattern of chiral symmetry breaking is ruled out in QCD by exact inequalities. It is not ruled out, however, in other gauge theories with scalar quarks and/or Yukawa couplings. {copyright} {ital 1998} {ital The American Physical Society}},
doi = {10.1103/PhysRevD.59.016001},
url = {https://www.osti.gov/biblio/326856}, journal = {Physical Review, D},
number = 1,
volume = 59,
place = {United States},
year = {1999},
month = {1}
}