Global anomalies in Chiral Lattice Gauge Theory

Details Global anomalies in Chiral Lattice Gauge Theory Global anomalies in Chiral Lattice Gauge Theory

1999-09-10

arxiv.org/abs/hep-lat/9909081v1

Nucl.Phys.Proc.Suppl. 83 (2000) 594-599

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Chiral Gauge Theories) - 6 pages, 2 figures

Scientific paper

As first realized by Witten an SU(2) gauge theory coupled to a single Weyl fermion suffers from a global anomaly. This problem is addressed here in the context of the recent developments on chiral gauge theories on the lattice. We find Witten's anomaly manifests in the impossibility of defining globally a fermion measure that reproduces the proper continuum limit. Moreover, following Witten's original argument, we check numerically the crossing of the lowest eigenvalues of Neuberger's operator along a path connecting two gauge fields that differ by a topologically non-trivial gauge transformation.

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