Dynamics of supersymmetric SU(n(c)) and USp(2n(c)) gauge theories

Citation
G. Carlino et al., Dynamics of supersymmetric SU(n(c)) and USp(2n(c)) gauge theories, J HIGH EN P, (2), 2000, pp. NIL_96-NIL_112
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Issue
2
Year of publication
2000
Pages
NIL_96 - NIL_112
Database
ISI
SICI code
1029-8479(200002):2<NIL_96:DOSSAU>2.0.ZU;2-F
Abstract
We study dynamical flavor symmetry breaking in the context of a class of N = 1 supersymmetric SU(n(c)) and USp(2n(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) x U(n(f) - r) groups for n(f) less than or equal to n(c). In the r = 1 case the dynam ical symmetry breaking is caused by the condensation of monopoles in the n( f) representation. For general r, however, the monopoles in the <(n(f)C(r)) under bar> representation, whose condensation could explain the flavor symm etry breaking but would produce too-many Nambu-Goldstone multiplets, actual ly "break up" into "magnetic quarks" which condense and induce confinement and the symmetry breaking. In USp(2n(c)) theories with n(f) less than or eq ual to 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 theo ry. In both SU(n(c)) and USp(2n(c)) theories, with larger numbers of quark flavors, besides the vacua with these properties, there exist also vacua wi th no flavor symmetry breaking.