Chiral Fermions on the Lattice through Gauge Fixing -- Perturbation Theory

Details Chiral Fermions on the Lattice through Gauge Fixing -- Perturbation Theory Chiral Fermions on the Lattice through Gauge Fixing -- Perturbation Theory

1998-01-16

arxiv.org/abs/hep-lat/9801018v2

Phys.Rev. D58 (1998) 034501

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, 5 figures, two refs. added

Scientific paper

10.1103/PhysRevD.58.034501

We study the gauge-fixing approach to the construction of lattice chiral gauge theories in one-loop weak-coupling perturbation theory. We show how infrared properties of the gauge degrees of freedom determine the nature of the continuous phase transition at which we take the continuum limit. The fermion self-energy and the vacuum polarization are calculated, and confirm that, in the abelian case, this approach can be used to put chiral gauge theories on the lattice in four dimensions. We comment on the generalization to the nonabelian case.

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