Dynamics of Supersymmetric SU(nc) and USp(2nc) Gauge Theories
نویسندگان
چکیده
We study dynamical flavor symmetry breaking in the context of a class of N = 1 supersymmetric SU(nc) and USp(2nc) 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(nf ) symmetry in SU(nc) theories is dynamically broken to U(r) × U(nf − r) groups for nf ≤ nc. In the r = 1 case the dynamical symmetry breaking is caused by the condensation of monopoles in the nf representation. For general r, however, the monopoles in the nfCr 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. InUSp(2nc) theories with nf ≤ nc+1, the flavor SO(2nf ) symmetry is dynamically broken to U(nf ), but with no description in terms of a weakly coupled local field theory. In both SU(nc) and USp(2nc) theories, with larger numbers of quark flavors, besides the vacua with these properties, there exist also vacua with no flavor symmetry breaking. GEF-TH 6/99; IFUP-TH 53/99; UCB-PTH-99/57; LBNL-44783
منابع مشابه
Dynamical Symmetry Breaking in Supersymmetric SU(nc) and USp(2nc) Gauge Theories
We find the phase and flavor symmetry breaking pattern of each N = 1 supersymmetric vacuum of SU(nc) and USp(2nc) gauge theories, constructed from the exactly solvable N = 2 theories by perturbing them with small adjoint and generic bare hypermultiplet (quark) masses. In SU(nc) theories with nf ≤ nc the vacua are labelled by an integer r, in which the flavor U(nf ) symmetry is dynamically broke...
متن کاملDuality of Sp(2Nc) and SO(Nc) Supersymmetric Gauge Theories with Adjoint Matter
We discuss electric-magnetic duality in two new classes of supersymmetric Yang-Mills theories. The models have gauge group Sp(2Nc) or SO(Nc) with matter in both the adjoint and defining representations. By perturbing these theories with various superpotentials, we find a variety of new infrared fixed points with dual descriptions. This work is complementary to that of Kutasov and Schwimmer on S...
متن کاملWho Confines Quarks? - on Non-abelian Monopoles and Dynamics of Confinement
The role non-Abelian magnetic monopoles play in the dynamics of confinement is discussed by examining carefully a class of supersymmetric gauge theories as theoretical laboratories. In particular, in the so-called r-vacua of softly broken N = 2 supersymmmetric SU(nc) QCD, the Goddard-Olive-Nuyts-Weinberg monopoles appear as the dominant low-energy effective degrees of freedom. Even more interes...
متن کاملMicroscopic Pictures of Dynamical Symmetry Breaking in Supersymmetric SU(nc), USp(2nc) and SO(nc) Theories
Several distinct mechanisms of confinement and dynamical symmetry breaking (DSB) are identified, in a class of supersymmetric SU(nc), USp(2nc) and SO(nc) gauge theories. In some of the vacua, the magnetic monopoles carrying nontrivial flavor quantum numbers condense, causing confinement and symmetry breaking simultaneously. In more general classes of vacua, however, the effective low-energy deg...
متن کاملConfinement and Flavor Symmetry Breaking via Monopole Condensation
We discuss dynamics of N = 2 supersymmetric SU(nc) gauge theories with nf quark hypermultiplets. Upon N = 1 perturbation of introducing a finite mass for the adjoint chiral multiplet, we show that the flavor U(nf ) symmetry is dynamically broken to U(r) × U(nf − r), where r ≤ [nf/2] is an integer. This flavor symmetry breaking occurs due to the condensates of magnetic degrees of freedom which a...
متن کامل