On Witten's global anomaly for higher SU(2) representations
High Energy Physics - Lattice
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.hep-lat/0209014,
title = {On Witten's global anomaly for higher SU(2) representations},
author = {O. Baer},
journal= {arXiv preprint arXiv:hep-lat/0209014},
year = {2007}
}
Comments
Lattice 2002 (chiral fermions), 3 pages, 4 figures