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

1997/07/30 by Atsushi Yamada
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/s0550-3213(97)00760-8

published as Nucl.Phys. B514 (1998) 399-418 · LaTeX, 23 pages

arxiv created 1997/07/30 · openalex publication_date 1998/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A method for simulating chiral fermions on the lattice
• Investigation of the Domain Wall Fermion Approach to Chiral Gauge Theories on the Lattice
• Chiral fermions on the lattice
• Perturbative analysis for Kaplan's lattice chiral fermions
• Absence of neutrinos on a lattice
• A Note on ``Anomalous" Chiral Gauge Theories
• Chiral fermions and anomalies on a finite lattice
• Infinitely many regulator fields for chiral fermions
• Absence of neutrinos on a lattice
• Chiral fermions from lattice boundaries