Scale invariant behavior in a large N matrix model

Abstract

Eigenvalue distributions of properly regularized Wilson loop operators are used to study the transition from ultra-violet (UV) behavior to infra-red (IR) behavior in gauge theories coupled to matter that potentially have an IR fixed point (FP). We numerically demonstrate emergence of scale invariance in a matrix model that describes $SU(N)$ gauge theory coupled to two flavors of massless adjoint fermions in the large $N$ limit. The eigenvalue distribution of Wilson loops of varying sizes cannot be described by a universal lattice beta-function connecting the UV to the IR.

11 pages, 2 figures

References in corpus (6)

• Infinite N phase transitions in continuum Wilson loop operators
• Volume independence in large Nc QCD-like gauge theories
• Large N_c confinement and turbulence
• Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction
• Burgers' equation in 2D SU(N) YM
• Numerical results for gauge theories near the conformal window