Renormalizability of a lattice chiral fermion in the overlap formulation

Abstract

Renormalizability of a lattice chiral fermion is studied at one loop level in the overlap formulation in four dimensions. The fermion chirality is examined including the self-energy corrections due to gauge interactions. Divergent terms breaking the chiral symmetry do not appear and the chiral fermion is renormalized, preserving the correct chiral properties without adding new counter-terms or tuning the parameters involved. The divergent part of the wave function renormalization factor agrees with that of the continuum theory. The overlap formulation of a lattice chiral fermion has passed the important test, the renormalizability, at one loop level.

LaTeX, 11 pages, uses Feynman.tex. Figures added and minor misprints corrected

References in corpus (3)

• Four-Dimensional N=1 Supersymmetric Yang-Mills Theory on the Lattice without Fine-Tuning
• 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

Cited by in corpus (7)

• Axial vector current of exact chiral symmetry on the lattice
• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• One-loop analyses of lattice QCD with the overlap Dirac operator
• A Perturbative Study of a General Class of Lattice Dirac Operators
• Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• 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 $N_s$