# Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills - High Energy Physics - Lattice

Realization of Center Symmetry in Two Adjoint Flavor Large-N Yang-Mills - High Energy Physics - Lattice - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We report on the results of numerical simulations of $SUN$ lattice YangMills with two flavors of light Wilson fermion in the adjoint representation.We analytically and numerically address the question of center symmetryrealization 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 finitegauge coupling. Our results indicate that center symmetry is intact for a rangeof fermion mass in the vicinity of the critical line on lattices of volume$2^4$. This observation makes it possible to compute infinite volume physicalobservables using small volume simulations in the limit $N\to\infty$, withpossible applications to the determination of the conformal window in gaugetheories with adjoint fermions.

Autor: Simon Catterall, Richard Galvez, Mithat Unsal

Fuente: https://arxiv.org/