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

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

2009-11-02

arxiv.org/abs/0911.0352v2

JHEP01(2010)069

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, 3 figures. V2: one typo corrected. published version

Scientific paper

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> 1, while for large masses K ~ O(1). Despite certain UV sensitivities of the lattice one-loop potential, this phase structure is similar to the one obtained in the continuum works of Kovtun-Unsal-Yaffe, Myers-Ogilvie, and Hollowood-Myers. We explain the physical origin of the cascade of transitions and its relation to the embedding of space-time into color space.

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