Patterns of symmetry breaking in chiral QCD
- Univ. of Pisa (Italy). Dept. of Physics; National Inst. of Nuclear Physics (INFN), Pisa (Italy)
- Univ. of Minnesota, Minneapolis, MN (United States). William I. Fine Theoretical Physics Inst.; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
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.
- Research Organization:
- Univ. of Minnesota, Minneapolis, MN (United States); Univ. of California, Santa Barbara, CA (United States); Univ. of Pisa (Italy)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); National Inst. of Nuclear Physics (INFN) (Italy)
- Grant/Contract Number:
- SC0011842; PHY-1125915
- OSTI ID:
- 1436832
- Alternate ID(s):
- OSTI ID: 1503898
- Journal Information:
- Physical Review. D., Vol. 97, Issue 9; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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