$Λ$-symmetry and background independence of noncommutative gauge theory on $\mathbb R^n$

Details $Λ$-symmetry and background independence of noncommutative gauge theory on $\mathbb R^n$ $Λ$-symmetry and background independence of noncommutative gauge theory on $\mathbb R^n$

1999-12-20

arxiv.org/abs/hep-th/9912174v2

JHEP 0001 (2000) 011

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX2e, minor revisions (version published in JHEP)

Scientific paper

10.1088/1126-6708/2000/01/011

Background independence of noncommutative Yang-Mills theory on $\mathbb R^n$ is discussed. The quantity $\theta \hat F \theta - \theta$ is found to be background dependent at subleading order, and it becomes background independent only when the ordinary gauge field strength $F$ is constant. It is shown that, at small values of $B$, the noncommutative Dirac-Born-Infeld action possesses $\Lambda$-symmetry at least to subleading order in $\theta$ if $F$ damps fast enough at infinity.

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