Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills

Details Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills

2010-06-12

arxiv.org/abs/1006.2469v1

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 9 figures

Scientific paper

We report on the results of numerical simulations of $SU(N)$ lattice Yang Mills with two flavors of (light) Wilson fermion in the adjoint representation. We analytically and numerically address the question of center symmetry realization on lattices with $\Gamma$ sites in each direction in the large-$N$ limit. We show, by a weak coupling calculation that, for massless fermions, center symmetry realization is independent of $\Gamma$, and is unbroken. Then, we extend our result by conducting simulations at non zero mass and finite gauge coupling. Our results indicate that center symmetry is intact for a range of fermion mass in the vicinity of the critical line on lattices of volume $2^4$. This observation makes it possible to compute infinite volume physical observables using small volume simulations in the limit $N\to\infty$, with possible applications to the determination of the conformal window in gauge theories with adjoint fermions.

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