Self energy of massive lattice fermions

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

Research output: Contribution to journalArticle

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, (Formula presented) 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)
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number3
DOIs
StatePublished - Jan 1 1998

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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