The Phases of Non-supersymmetric Gauge Theories: the $SO(N_c)$ Case Study

Kavli Affiliate: Hitoshi Murayama

| First 5 Authors: Csaba Csáki, Andrew Gomes, Hitoshi Murayama, Ofri Telem,

| Summary:

We investigate the IR phases of non-supersymmetric (non-SUSY) $SO(N_c)$ gauge
theories with $N_F$ fermions in the vector representation obtained by
perturbing the SUSY theory with anomaly mediated SUSY breaking (AMSB). We find
that of the wide variety of phases appearing in the SUSY theory only two
survive: for $N_F<frac{3}{2} (N_c-2)$ the theory confines, breaking the
$SU(N_F)$ global symmetry to $SO(N_F)$, while for $frac{3}{2}
(N_c-2)<N_F<3(N_c-2)$ the theory flows to a (super)-conformal fixed point. The
abelian Coulomb and free magnetic phases do not survive and collapse to the
confining phase. We also investigate the behavior of loop operators in order to
provide a clear distinction between the confining and screened phases. With the
choice of $Spin(N_c)$ for the global structure of the gauge group, we find that
the electric Wilson loop indeed obeys an area law, providing one of the first
demonstrations of true confinement with chiral symmetry breaking in a non-SUSY
theory. We identify monopole condensation as the dynamics underlying
confinement. These monopoles arise naturally for $N_F=N_c-2$. The case with
smaller number of flavors can be obtained by integrating out flavors, and we
confirm numerically that the monopole condensate persists in the presence of
AMSB and mass perturbations.

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