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 = {Thu May 10 00:00:00 EDT 2018},
month = {Thu May 10 00:00:00 EDT 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.97.094007
https://doi.org/10.1103/PhysRevD.97.094007
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 15 works
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
FIG. 1: A class of chiral QCD theories at large N in the plane (Nψ ; Nχ).
All figures and tables
(1 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
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
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.