Partial breakdown of center symmetry in large-N QCD with adjoint Wilson fermions

Understand

We study the one-loop potential of large-N QCD with adjoint Dirac fermions.

• Space-time is a discretization of R^3 x S^1 where the compact direction consists of a single lattice site.
• We use Wilson fermions with different values of the quark mass m and set the lattice spacings in the compact and non-compact directions to be a_t and a_s respectively.
• Extending the results of JHEP 0906:091,2009, we prove that if the ratio xi = a_s/a_t obeys 0<xi<2, then the minimum of the one-loop lattice potential for one or more Dirac flavors is Z_N symmetric at the chiral point.