On the Large Mass Limit of the Continuum Theories in Kaplan's Formulation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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30pages, harvmac, KUNS-1239, HE(TH)94/01. (Several comments in the introduction and the related references are added.)

Scientific paper

10.1103/PhysRevD.50.5365

Being inspired by Kaplan's proposal for simulating chiral fermions on a lattice, we examine the continuum analog of his domain-wall construction for two-dimensional chiral Schwinger models. Adopting slightly unusual dimensional regularization, we explicitly evaluate the one-loop effective action in the limit that the domain-wall mass goes to infinity. For anomaly-free cases, the effective action turns out to be gauge invariant in two-dimensional sense.

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