Noncommutative Geometryand Gauge Theory on Fuzzy Sphere
Abstract
The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined. The local U(1) gauge transformation on the fuzzy sphere is identified with the left U(N+1) transformation of the field, where a field is a bimodule over the quantized algebra . The interaction with a complex scalar field is also given.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2000
 DOI:
 10.1007/s002200000213
 arXiv:
 arXiv:hepth/9801195
 Bibcode:
 2000CMaPh.212..395C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTeX 26 pages, final version (Dec.1999) accepted in CMP. An extra term in the gauge action is discussed