Published March 15, 1990 | Version v1
Journal article

Analysis of the lattice-chiral-fermion proposal of Aoki, Funakubo, and Kashiwa

  • 1. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (USA)
  • 2. Department of Physics, University of Illinois at Chicago, Chicago, Illinois 60680 (USA)

Description

We examine the lattice-chiral-fermion scheme proposed by Aoki, Funakubo, and Kashiwa (AFK) in the context of chiral QED in two and four dimensions. In four dimensions, we find that, although the AFK scheme ensures gauge invariance by rendering amplitudes transverse, it does not improve their ultraviolet behavior; as in the Wilson theory, the effective vacuum polarization is quadratically divergent. In both two and four dimensions, we find that there are contributions to the effective gauge-field action beyond those analyzed by AFK. These contributions are not accessible through finite-order perturbation theory

Additional details

Publishing Information

Journal Title
Physical Review, D
Journal Volume
41
Journal Issue
6
Series
Phys. Rev., D.
Journal Page Range
2026-2030
ISSN
0556-2821
CODEN
PRVDA