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 selfconsistent 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:

 Theoretical Physics, Oxford University, 1 Keble Road, Oxford, OX13NP (United Kingdom)
 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 selfconsistent 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}
}
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