Renormalizability of a lattice chiral fermion in the overlap formulation

Details Renormalizability of a lattice chiral fermion in the overlap formulation Renormalizability of a lattice chiral fermion in the overlap formulation

1997-05-29

arxiv.org/abs/hep-lat/9705040v2

Phys.Rev. D57 (1998) 1433-1437

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 11 pages, uses Feynman.tex. Figures added and minor misprints corrected

Scientific paper

10.1103/PhysRevD.57.1433

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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