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

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

1997-07-30

arxiv.org/abs/hep-lat/9707032v1

Nucl.Phys. B514 (1998) 399-418

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 23 pages

Scientific paper

10.1016/S0550-3213(97)00760-8

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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