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); 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. https://doi.org/10.1103/PhysRevD.97.094007
Bolognesi, Stefano, Konishi, Kenichi, and Shifman, Mikhail. Thu .
"Patterns of symmetry breaking in chiral QCD". United States. https://doi.org/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}
}
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https://doi.org/10.1103/PhysRevD.97.094007
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Cited by: 2 works
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Figures / Tables:
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:
Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
journal, September 2009
- Ünsal, Mithat
- Physical Review D, Vol. 80, Issue 6
Yang-Mills theories with chiral matter at strong coupling
journal, May 2009
- Shifman, M.; Ünsal, Mithat
- Physical Review D, Vol. 79, Issue 10
Phases of chiral gauge theories
journal, May 2000
- Appelquist, Thomas; Duan, Zhiyong; Sannino, Francesco
- Physical Review D, Vol. 61, Issue 12
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
journal, December 1994
- Seiberg, N.; Witten, E.
- Nuclear Physics B, Vol. 431, Issue 3
Chiral Lattice Gauge Theories via Mirror–Fermion Decoupling: a Mission (Im)Possible?
journal, June 2010
- Poppitz, Erich; Shang, Yanwen
- International Journal of Modern Physics A, Vol. 25, Issue 14
New constraints on chiral gauge theories
journal, July 1999
- Appelquist, Thomas; Cohen, Andrew; Schmaltz, Martin
- Physics Letters B, Vol. 459, Issue 1-3
Tumbling gauge theories
journal, July 1980
- Raby, Stuart; Dimopoulos, Savas; Susskind, Leonard
- Nuclear Physics B, Vol. 169, Issue 5-6
chiral gauge theories
journal, November 2015
- Shi, Yan-Liang; Shrock, Robert
- Physical Review D, Vol. 92, Issue 10
Chiral gauge theory planar equivalent to super-Yang-Mills theory
journal, May 2012
- Armoni, A.; Shifman, M.
- Physical Review D, Vol. 85, Issue 10
Fradkin–Shenker continuity and “instead-of-confinement” phase
journal, September 2017
- Shifman, M.; Yung, A.
- Modern Physics Letters A, Vol. 32, Issue 30
Center-stabilized Yang-Mills theory: Confinement and large volume independence
journal, September 2008
- Ünsal, Mithat; Yaffe, Laurence G.
- Physical Review D, Vol. 78, Issue 6
QCD-like theories on : A smooth journey from small to large with double-trace deformations
journal, September 2008
- Shifman, M.; Ünsal, Mithat
- Physical Review D, Vol. 78, Issue 6
Phase diagrams of lattice gauge theories with Higgs fields
journal, June 1979
- Fradkin, Eduardo; Shenker, Stephen H.
- Physical Review D, Vol. 19, Issue 12
Planar limit of orientifold field theories and emergent center symmetry
journal, February 2008
- Armoni, Adi; Shifman, Mikhail; Ünsal, Mithat
- Physical Review D, Vol. 77, Issue 4
Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994
- Seiberg, N.; Witten, E.
- Nuclear Physics B, Vol. 426, Issue 1
Renormalization-group evolution and nonperturbative behavior of chiral gauge theories with fermions in higher-dimensional representations
journal, December 2015
- Shi, Yan-Liang; Shrock, Robert
- Physical Review D, Vol. 92, Issue 12
Works referencing / citing this record:
Dynamics and symmetries in chiral gauge theories
journal, December 2019
- Bolognesi, Stefano; Konishi, Kenichi
- Physical Review D, Vol. 100, Issue 11
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.