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

Abstract

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.

31 pages, 5 figures, two refs. added

References in corpus (1)

• Lattice Chiral Fermions Through Gauge Fixing

Cited by in corpus (9)

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• The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory
• Fermion-number violation in regularizations that preserve fermion-number symmetry
• More on Lattice BRST Invariance
• Non-perturbatively gauge-fixed compact $U(1)$ lattice gauge theory
• Tricritical points in a compact $U(1)$ lattice gauge theory at strong coupling