Self energy of massive lattice fermions

Phys. Rev. D 58, 034505 – Published 6 July 1998
Bartholomeus P. G. Mertens, Andreas S. Kronfeld, and Aida X. El-Khadra


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.


  • Received 22 December 1997
  • Revised 3 April 1998
  • Published 6 July 1998

© 1998 The American Physical Society

Authors & Affiliations

Bartholomeus P. G. Mertens

  • Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637

Andreas S. Kronfeld

  • Theoretical Physics Group, Fermi National Accelerator Laboratory, Batavia, Illinois 60510

Aida X. El-Khadra

  • Physics Department, University of Illinois, Urbana, Illinois 61801

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