GinspargWilson relation and 't HooftPolyakov monopole on fuzzy 2sphere
Abstract
We investigate several properties of GinspargWilson fermion on fuzzy 2sphere. We first examine chiral anomaly up to the second order of the gauge field and show that it is indeed reduced to the correct form of the Chern character in the commutative limit. Next we study topologically nontrivial gauge configurations and their topological charges. We investigate 't HooftPolyakov monopole type configuration on fuzzy 2sphere and show that it has the correct commutative limit. We also consider more general configurations in our formulation.
 Publication:

Nuclear Physics B
 Pub Date:
 April 2004
 DOI:
 10.1016/j.nuclphysb.2004.02.008
 arXiv:
 arXiv:hepth/0312199
 Bibcode:
 2004NuPhB.684..162A
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Lattice
 EPrint:
 Latex 32 pages, references added, typo corrected, the final version to appear in Nucl.Phys.B