Phase diagram of adjoint QCD at weak coupling and finite volume

Details Phase diagram of adjoint QCD at weak coupling and finite volume Phase diagram of adjoint QCD at weak coupling and finite volume

2009-10-02

arxiv.org/abs/0910.0441v1

PoS LAT2009:046,2009

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 6 figures. Talk presented at The XXVII International Symposium on Lattice Field Theory, July 25-31, 2009, Beijing, Ch

Scientific paper

The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of the pure Yang-Mills theory confinement-deconfinement 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 S^1 such that the confined phase is favored for light enough adjoint fermion mass. We calculate the value of the mass times the radius of S^3 below which the confined phase is favored for all volumes of S^1 / S^3 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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