Nonperturbative SUSY Gauge Theories with Soft Masses
N. Sakai
Abstract
After briefly reviewing the nonperturbative dynamics of N=1 supersymmetric field theories, soft SUSY breaking mass terms are introduced into the SUSY gauge theories and their effects on gauge symmetry breaking pattern are studied. For Nf<Nc, we include the dynamics of the non-perturbative superpotential and use the original (s)quark and gauge fields. For Nf>Nc+1, we formulate the dynamics in terms of dual (s)quarks and a dual gauge group SU(Nf-Nc). The mass squared of squarks can be negative triggering the spontaneous breakdown of flavor and color symmetry. The general condition for the stability of the vacuum is derived. We determine the breaking pattern, derive the spectrum, and argue that the masses vary smoothly as one crosses from the Higgs phase into the confining phase exhibiting the complmentarity.
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