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

Abstract

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.

15 pages, 9 figures

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• Large-N reduction in QCD with two adjoint Dirac fermions
• Compactified N=1 supersymmetric Yang-Mills theory on the lattice: Continuity and the disappearance of the deconfinement transition
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions
• Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction
• k-String Tension from Eguchi-Kawai Reduction
• Deconfinement in Yang-Mills theory through toroidal compactification with deformation
• Bose-Fermi Degeneracies in Large $N$ Adjoint QCD
• Weak-coupling analysis of the single-site large-N gauge theory coupled to adjoint fermions
• Numerical computation of the beta function of large N SU(N) gauge theory coupled to an adjoint Dirac fermion
• Recent results in large-N lattice gauge theories
• Exploring gauge theories with adjoint matter on the lattice
• Large N and Bosonization in Three Dimensions
• Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models
• Large-$N_c$ gauge theory and chiral random matrix theory
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories
• Recent results on large N gauge theories on a single site lattice with adjoint fermions