Study of the Decoupling of Heavy Fermions in a Z_2 Scalar-Fermion Model

Details Study of the Decoupling of Heavy Fermions in a Z_2 Scalar-Fermion Model Study of the Decoupling of Heavy Fermions in a Z_2 Scalar-Fermion Model

1995-01-19

arxiv.org/abs/hep-lat/9501020v1

Phys.Lett. B347 (1995) 341-346

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, one table

Scientific paper

10.1016/0370-2693(95)00065-S

According to one-loop perturbation theory, fermions whose masses are totally generated from Yukawa couplings do not decouple in the heavy mass limit. We investigate this issue nonperturbatively in a 4-dimensional $Z_2$ scalar-fermion model with staggered fermions. Our data at intermediate and stronger Yukawa couplings on $8^4$ and $12^4$ lattices suggest the nondecoupling of heavy fermions as predicted from one-loop calculation. However, at the strongest Yukawa coupling where a possible multi-critical point may come into play, we cannot be conclusive.

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