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Exponential suppression of radiatively induced mass in the truncated overlap

Y. Kikukawa·H. Neuberger·A. Yamada
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Abstract

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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Y. Kikukawa, H. Neuberger, A. Yamada. 1997-12-19. Exponential suppression of radiatively induced mass in the truncated overlap. https://doi.org/10.1016/s0550-3213(98)00263-6

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