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arXiv · hep-lat/9712024

The Self-Energy of Massive Lattice Fermions

Bartholomeus P. G. Mertens·Andreas S. Kronfeld·Aida X. El-Khadra
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Abstract

We address the perturbative renormalization of massive lattice fermions. We derive expressions-valid to all orders in perturbation theory and for all values of the bare fermion mass-for the rest mass, the kinetic mass, and the wave-function renormalization factor. We obtain the fermion's self energy at the one-loop level with a mass-dependent, $O(a)$ improved action. Numerical results for two interesting special cases, the Wilson and Sheikholeslami-Wohlert actions, are given. The mass dependence of these results smoothly connects the massless and infinite-mass limits, as expected. Combined with Monte Carlo calculations our results can be employed to determine the quark masses in common renormalization schemes.

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Bartholomeus P. G. Mertens, Andreas S. Kronfeld, Aida X. El-Khadra. 1997-12-20. The Self-Energy of Massive Lattice Fermions. https://doi.org/10.1103/physrevd.58.034505

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