Self energy of massive lattice fermions

B. P.G. Mertens, Andreas S. Kronfeld, Aida X. El-Khadra

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Article number034505
Pages (from-to)345051-3450518
Number of pages3105468
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number3
StatePublished - Aug 1 1998

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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