The Self-Energy of Massive Lattice Fermions

Details The Self-Energy of Massive Lattice Fermions The Self-Energy of Massive Lattice Fermions

1997-12-20

arxiv.org/abs/hep-lat/9712024v1

Phys.Rev.D58:034505,1998

Physics

High Energy Physics

High Energy Physics - Lattice

33 pages; 11 figures (included)

Scientific paper

10.1103/PhysRevD.58.034505

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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