Dynamics of Supersymmetric SU(n_c) and USp(2n_c) Gauge Theories
We study dynamical flavor symmetry breaking in the context of a class of N=1 supersymmetric SU(n_c) and USp(2 n_c) gauge theories, constructed from the exactly solvable N=2 theories by perturbing them with small adjoint and generic bare hypermultiplet (quark) masses. We find that the flavor U(n_f) symmetry in SU(n_c) theories is dynamically broken to $$U(r)\times U(n_f-r)$$ groups for $$n_f \leq n_c$$. In the r=1 case the dynamical symmetry breaking is caused by the condensation of monopoles in the $$\underlinen_f$$ representation. For general r, however, the monopoles in the $$\underline_n_fC_r$$ representation, whose condensation could explain the flavor symmetry breaking but would produce too-many Nambu--Goldstone multiplets, actually"break up'' into"magnetic quarks'' which condense and induce confinement and the symmetry breaking. In USp(2n_c) theories with $$n_f\leq n_c + 1$$, the flavor SO(2n_f) symmetry is dynamically broken to U(n_f), but with no description in terms of a weakly coupled local field theory. In both SU(n_c) and USp(2 n_c) theories, with larger numbers of quark flavors, besides the vacua with these properties, there exist also vacua with no flavor symmetry breaking.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- Physics Division
- DOE Contract Number:
- DE-AC02-05CH11231
- OSTI ID:
- 965513
- Report Number(s):
- LBNL-44172
- Journal Information:
- Journal of High Energy Physics, Related Information: Journal Publication Date: 4 March 2000
- Country of Publication:
- United States
- Language:
- English
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