Exponential suppression of radiatively induced mass in the truncated overlap

Details Exponential suppression of radiatively induced mass in the truncated overlap Exponential suppression of radiatively induced mass in the truncated overlap

1997-12-19

arxiv.org/abs/hep-lat/9712022v1

Nucl.Phys. B526 (1998) 572-596

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages, plain TeX

Scientific paper

10.1016/S0550-3213(98)00263-6

A certain truncation of the overlap (domain wall fermions) contains $k$ flavors of Wilson-Dirac fermions. We show that for sufficiently weak lattice gauge fields the effective mass of the lightest Dirac particle is exponentially suppressed in $k$. This suppression is seen to disappear when lattice topology is non-trivial. We check explicitly that the suppression holds to one loop in perturbation theory. We also provide a new expression for the free fermion propagator with an arbitrary additional mass term.

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