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The Critical Mass of Wilson Fermions: A Comparison of Perturbative and Monte Carlo Results

E. Follana·H. Panagopoulos
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Abstract

We calculate the critical value of the hopping parameter, $κ_c$, in Lattice QCD with Wilson fermions, to two loops in perturbation theory. This quantity is an additive renormalization; as such, it is characterized not only by the standard caveats regarding the asymptotic nature of perturbative results, but also by a linear divergence in the lattice spacing. Consequently, our calculation tests rather stringently the limits of applicability of perturbation theory. We compare our results to non perturbative evaluations of $κ_c$ coming from Monte Carlo simulations. Finally, we apply a tadpole improvement technique on our results; this shifts them quite favourably towards the non perturbative values.

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E. Follana, H. Panagopoulos. 2000-06-01. The Critical Mass of Wilson Fermions: A Comparison of Perturbative and Monte Carlo Results. https://doi.org/10.1103/physrevd.63.017501

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