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.
|Original language||English (US)|
|Number of pages||3105468|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - Aug 1 1998|
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)