Weak-coupling analysis of the single-site large-N gauge theory coupled to adjoint fermions

Abstract

We consider the leading-order expression at weak-coupling for a single-site large-N gauge theory coupled to adjoint fermions. We study the case of overlap and wilson fermions. We extend the theory to real values of the number of fermion flavors and restrict ourselves to asymptotically free theories. Using a four-dimensional density function for the distribution of the eigenvalues of the link variables, we show that it is possible to recover the infinite-volume continuum limit for a certain range of fermion flavors if we use fermions with a bare mass of zero. Our use of the four-dimensional density function is supported by a direct analysis of the lattice action.

14 pages, 11 figures, replaced "tree-level" with "leading-order" to match the version to be published in Physical Review D

References in corpus (4)

• Volume independence in large Nc QCD-like gauge theories
• Large-N reduction in QCD-like theories with massive adjoint fermions
• Large-N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions

Cited by in corpus (8)

• Twisted space-time reduced model of large N QCD with two adjoint Wilson fermions
• Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction
• Volume independence for Yang-Mills fields on the twisted torus
• Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories
• Eguchi-Kawai reduction with one flavor of adjoint Moebius fermion
• Scale invariant behavior in a large N matrix model
• Single site model of large N gauge theories coupled to adjoint fermions