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Renormalizability of a lattice chiral fermion in the overlap formulation

Atsushi Yamada
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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.

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Atsushi Yamada. 1997-06-10. Renormalizability of a lattice chiral fermion in the overlap formulation. https://doi.org/10.1103/physrevd.57.1433

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