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arXiv · 1511.08767

Scale invariant behavior in a large N matrix model

Rajamani Narayanan·Herbert Neuberger
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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.

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Rajamani Narayanan, Herbert Neuberger. 2015-11-27. Scale invariant behavior in a large N matrix model. https://doi.org/10.1103/physrevd.93.025018

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