The Self-Energy of Massive Lattice Fermions

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.

33 pages; 11 figures (included)

References in corpus (4)

• Further results on O(a) improved lattice QCD to one-loop order of perturbation theory
• Non-perturbative quark mass renormalization
• The Charm Quarks's Mass
• Perturbative Renormalization of Improved Lattice Operators

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