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Witten's SU(2) anomaly on the lattice

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arxiv hep-lat/9805027 v3 pith:6ZMYRZ4Z submitted 1998-05-26 hep-lat hep-th

classification hep-lathep-th
keywords anomalylatticeoverlapwittenanalyticityberrydefineddimension
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abstract

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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