Abstract
Using a hopping parameter expansion, we demonstrate the decoupling of fermion doubler modes in the hypercharge U(1) Y lattice gauge theory. We also show analytically that it is possible to tune the bare Yukawa coupling to a value such that the fundamental physical fermion am f=0 (as is necessary in order to obtain a finite physical mass m f in the continuum limit), and we calculate this value. The appropriate special case of these results is compared with numerical simulations of the frozen-gauge limit of the U(1) Y theory, and good agreement is found. The role of the Yukawa coupling in a chiral lattice gauge theory is contrasted with that in a nonchiral Yukawa model.
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