On Witten's global anomaly for higher SU(2) representations
High Energy Physics - Lattice
2010-04-05 v1 High Energy Physics - Theory
Abstract
The spectral flow of the overlap operator is computed numerically along a particular path in gauge field space. The path connects two gauge equivalent configurations which differ by a gauge transformation in the non-trivial class of pi_4(SU(2)). The computation is done with the SU(2) gauge field in the fundamental, the 3/2, and the 5/2 representation. The number of eigenvalue pairs that change places along this path is established for these three representations and an even-odd pattern predicted by Witten is verified.
Cite
@article{arxiv.hep-lat/0209098,
title = {On Witten's global anomaly for higher SU(2) representations},
author = {O. Baer},
journal= {arXiv preprint arXiv:hep-lat/0209098},
year = {2010}
}
Comments
24 pages, 12 eps figures