Noncommutative Chern-Simons terms and the noncommutative vacuum

Details Noncommutative Chern-Simons terms and the noncommutative vacuum Noncommutative Chern-Simons terms and the noncommutative vacuum

2000-10-27

arxiv.org/abs/hep-th/0010264v2

JHEP 0011 (2000) 008

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures; minor typos and references corrected

Scientific paper

10.1088/1126-6708/2000/11/008

It is pointed out that the space noncommutativity parameters $theta^{\mu \nu}$ in noncommutative gauge theory can be considered as a set of superselection parameters, in analogy with the theta-angle in ordinary gauge theories. As such, they do not need to enter explicitly into the action. A simple generic formula is then suggested to reproduce the Chern-Simons action in noncommutative gauge theory, which reduces to the standard action in the commutative limit but in general implies a cascade of lower-dimensional Chern-Simons terms. The presence of these terms in general alters the vacuum structure of the theory and nonstandard gauge theories can emerge around the new vacua.

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