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Title: Patterns of symmetry breaking in chiral QCD

Abstract

We consider $SU(N)$ Yang-Mills theory with massless chiral fermions in a complex representation of the gauge group. The main emphasis is on the so-called hybrid $${\psi}{\chi}{\eta}$$ model. The possible patterns of realization of the continuous chiral flavor symmetry are discussed. We argue that the chiral symmetry is broken in conjunction with a dynamical Higgsing of the gauge group (complete or partial) by bifermion condensates. As a result a color-flavor locked symmetry is preserved. The ’t Hooft anomaly matching proceeds via saturation of triangles by massless composite fermions or, in a mixed mode, i.e. also by the “weakly” coupled fermions associated with dynamical Abelianization, supplemented by a number of Nambu-Goldstone mesons. Gauge-singlet condensates are of the multifermion type and, though it cannot be excluded, the chiral symmetry realization via such gauge invariant condensates is more contrived (requires a number of four-fermion condensates simultaneously and, even so, problems remain) and less plausible. We conclude that in the model at hand, chiral flavor symmetry implies dynamical Higgsing by bifermion condensates.

Authors:
; ;
Publication Date:
Research Org.:
Univ. of Minnesota, Minneapolis, MN (United States); Univ. of California, Santa Barbara, CA (United States); Univ. of Pisa (Italy)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); National Inst. of Nuclear Physics (INFN) (Italy)
OSTI Identifier:
1436832
Alternate Identifier(s):
OSTI ID: 1503898
Grant/Contract Number:  
SC0011842; PHY-1125915
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; anomalies; composite models; dynamical symmetry breaking models

Citation Formats

Bolognesi, Stefano, Konishi, Kenichi, and Shifman, Mikhail. Patterns of symmetry breaking in chiral QCD. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.094007.
Bolognesi, Stefano, Konishi, Kenichi, & Shifman, Mikhail. Patterns of symmetry breaking in chiral QCD. United States. doi:10.1103/PhysRevD.97.094007.
Bolognesi, Stefano, Konishi, Kenichi, and Shifman, Mikhail. Thu . "Patterns of symmetry breaking in chiral QCD". United States. doi:10.1103/PhysRevD.97.094007.
@article{osti_1436832,
title = {Patterns of symmetry breaking in chiral QCD},
author = {Bolognesi, Stefano and Konishi, Kenichi and Shifman, Mikhail},
abstractNote = {We consider $SU(N)$ Yang-Mills theory with massless chiral fermions in a complex representation of the gauge group. The main emphasis is on the so-called hybrid ${\psi}{\chi}{\eta}$ model. The possible patterns of realization of the continuous chiral flavor symmetry are discussed. We argue that the chiral symmetry is broken in conjunction with a dynamical Higgsing of the gauge group (complete or partial) by bifermion condensates. As a result a color-flavor locked symmetry is preserved. The ’t Hooft anomaly matching proceeds via saturation of triangles by massless composite fermions or, in a mixed mode, i.e. also by the “weakly” coupled fermions associated with dynamical Abelianization, supplemented by a number of Nambu-Goldstone mesons. Gauge-singlet condensates are of the multifermion type and, though it cannot be excluded, the chiral symmetry realization via such gauge invariant condensates is more contrived (requires a number of four-fermion condensates simultaneously and, even so, problems remain) and less plausible. We conclude that in the model at hand, chiral flavor symmetry implies dynamical Higgsing by bifermion condensates.},
doi = {10.1103/PhysRevD.97.094007},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.094007

Citation Metrics:
Cited by: 2 works
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Figures / Tables:

FIG. 1 FIG. 1: A class of chiral QCD theories at large N in the plane (Nψ ; Nχ).

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Works referenced in this record:

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    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.