On Witten's global anomaly for higher SU(2) representations

Details On Witten's global anomaly for higher SU(2) representations On Witten's global anomaly for higher SU(2) representations

2002-09-02

arxiv.org/abs/hep-lat/0209014v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2002 (chiral fermions), 3 pages, 4 figures

Scientific paper

The spectral flow of the overlap operator is computed numerically along a path connecting two gauge fields which differ by a topologically non-trivial gauge transformation. The calculation is performed for SU(2) in the 3/2 and 5/2 representation. An even-odd pattern for the spectral flow as predicted by Witten is verified. The results are, however, more complicated than naively expected.

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