Global obstructions to gauge-invariance in chiral gauge theory on the lattice

Details Global obstructions to gauge-invariance in chiral gauge theory on the lattice Global obstructions to gauge-invariance in chiral gauge theory on the lattice

2000-04-19

arxiv.org/abs/hep-lat/0004015v4

Nucl.Phys. B589 (2000) 633-656

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, latex. v4: A few minor corrections, to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00524-1

It is shown that certain global obstructions to gauge-invariance in chiral gauge theory, described in the continuum by Alvarez-Gaume and Ginsparg, are exactly reproduced on the lattice in the Overlap formulation at small non-zero lattice spacing (i.e. close to the classical continuum limit). As a consequence, the continuum anomaly cancellation condition $d_R^{abc}=0$ is seen to be a necessary (although not necessarily sufficient) condition for anomaly cancellation on the lattice in the Overlap formulation.

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