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

Atsushi Yamada
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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.

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Atsushi Yamada. 1997-07-30. Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation. https://doi.org/10.1016/s0550-3213(97)00760-8

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