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

Abstract

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.

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

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