Abstract
The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S1 × S3. When S3 is small a perturbative analysis is possible and the weak-coupling analogue of the pure Yang-Mills theory confinementdeconfinement transition is accessible in the large N limit. We calculate the large N phase diagram of adjoint QCD [SU(N) gauge theory with adjoint fermions] where periodic boundary conditions are applied to fermions on S1 such that the confined phase is favored for light enough adjoint fermion mass m. We calculate the value of mRS3 below which the confined phase is favored for all LS1/RS3 and discuss the implications for large N volume reduction. We calculate also the phase diagram for N = 3 and compare with recent lattice results.
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