Abstract
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.
Highlights
Understanding the phases of strongly coupled gauge theories is one of the most important outstanding goals of particle physics
Our results provide one of the first examples of confinement with chiral symmetry breaking in a non-SUSY gauge theory
We have examined the low-energy phase structure of SOðNcÞ gauge theories with NF Weyl fermions in the vector representation, obtained by perturbing the SUSY
Summary
Understanding the phases of strongly coupled gauge theories is one of the most important outstanding goals of particle physics. Many interesting results have been obtained this way including the phases and global symmetry breaking pattern of SUSY QCD [20] as well as in the simplest nonsupersymmetric chiral gauge theories with an antisymmetric [25] or symmetric [26] fermion. All of the theories explored so far with AMSB contained some particles in the fundamental representation, which led to screening and a perimeter law for all of their Wilson loops Their chiral symmetry breaking took place in a screened/Higgs phase, rather than a genuine confining phase. Nc we again find a global minimum where the chiral symmetry is broken to SOðNFÞ In this case monopole condensation does not directly appear in the description, but nontrivial Wilson loops still exhibit an area law.
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