Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation

Abstract

Weak coupling expansion of a chiral gauge theory on a lattice is discussed in the overlap formulation. We analyze the fermion propagator and the fermion-fermion-gauge boson vertex in the one loop level. The chiral properties of the propagator and vertex are correctly preserved without tuning the parameters involved even after the one-loop renormalization, and the ultraviolet divergent parts agree with the continuum theory. Our analysis, together with the existing studies on the vacuum polarization and the gauge boson n-point functions, completes the proof of the renormalizability of this formulation to the one loop level.

LaTeX, 23 pages

References in corpus (3)

• Consistent and covriant anomalies in the overlap formulation of chiral gauge theories
• Finite size corrections in two dimensional gauge theories and a quantitative chiral test of the overlap
• Renormalizability of a lattice chiral fermion in the overlap formulation

Cited by in corpus (6)

• Axial vector current of exact chiral symmetry on the lattice
• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• A Perturbative Study of a General Class of Lattice Dirac Operators
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Massive Overlap Fermions on Anisotropic Lattices