Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-01-29
Commun.Math.Phys. 212 (2000) 395-413
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 26 pages, final version (Dec.1999) accepted in CMP. An extra term in the gauge action is discussed
Scientific paper
10.1007/s002200000213
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 $\CA_N$. The interaction with a complex scalar field is also given.
Carow-Watamura Ursula
Watamura Satoshi
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