Weak-coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
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Publication:1378279
DOI10.1016/S0550-3213(97)00760-8zbMATH Open0945.81025arXivhep-lat/9707032OpenAlexW1966108532MaRDI QIDQ1378279
Publication date: 10 February 1998
Published in: Unnamed Author (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/hep-lat/9707032
Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25)
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