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arxiv: hep-lat/9805027 · v3 · pith:6ZMYRZ4Znew · submitted 1998-05-26 · ✦ hep-lat · hep-th

Witten's SU(2) anomaly on the lattice

classification ✦ hep-lat hep-th
keywords anomalylatticeoverlapwittenanalyticityberrydefineddimension
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Witten's anomaly for SU(2) with a single I=1/2 Weyl fermion in four dimension is shown to be reproduced by the lattice overlap. The mechanism is based on Berry's phase, and on the analyticity of the matrix $H$ by which the overlap is defined.

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