Global Anomalies in chiral gauge theories on the lattice

Details Global Anomalies in chiral gauge theories on the lattice Global Anomalies in chiral gauge theories on the lattice

2000-01-21

arxiv.org/abs/hep-lat/0001025v2

Nucl.Phys.B581:499-519,2000

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages. Some explanations added in section 4.2, typos corrected. Final version to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00182-6

We discuss the issue of global anomalies in chiral gauge theories on the lattice. In Luscher's approach, these obstructions make it impossible to define consistently a fermionic measure for the path integral. We show that an SU(2) theory has such a global anomaly if the Weyl fermion is in the fundamental representation. The anomaly in higher representations is also discussed. We finally show that this obstruction is the lattice analogue of the SU(2) anomaly first discovered by Witten.

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