A. Hietanen, R. Narayanan
We use a single site lattice in four dimensions to study the scaling of large N Yang-Mills field coupled to a single massless Dirac fermion in the adjoint representation. We use the location of the strong to weak coupling transition defined through the eigenvalues of the folded Wilson loop operator to set a scale. This scale changes very slowly with the bare coupling in the region studied in this paper and there is numerical evidence for non-analytic behavior. We attribute the location of the non-analytic behavior to a zero of the beta function defined using this scale. The lowest eigenvalue of the overlap Dirac operator is another scale that shows similar non-analytic behavior around the same coupling. We discuss the effect of adding a mass to the Dirac fermion.
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http://arxiv.org/abs/1204.0331
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