Phase diagram of adjoint QCD at weak coupling and finite volume
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 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.
Keywords
Cite
@article{arxiv.0910.0441,
title = {Phase diagram of adjoint QCD at weak coupling and finite volume},
author = {Timothy J. Hollowood and Joyce C. Myers},
journal= {arXiv preprint arXiv:0910.0441},
year = {2010}
}
Comments
7 pages, 6 figures. Talk presented at The XXVII International Symposium on Lattice Field Theory, July 25-31, 2009, Beijing, China