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25 April 2024
 
  » arxiv » hep-lat/9712024

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The Self-Energy of Massive Lattice Fermions
Bartholomeus P.G. Mertens ; Andreas S. Kronfeld ; Aida X. El-Khadra ;
Date 20 Dec 1997
Journal Phys.Rev. D58 (1998) 034505
Subject hep-lat
AbstractWe 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.
Source arXiv, hep-lat/9712024
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