Derivative corrections to Dirac-Born-Infeld and Chern-Simon actions from Non-commutativity

Details Derivative corrections to Dirac-Born-Infeld and Chern-Simon actions from Non-commutativity Derivative corrections to Dirac-Born-Infeld and Chern-Simon actions from Non-commutativity

2001-08-14

arxiv.org/abs/hep-th/0108104v4

Int.J.Mod.Phys. A17 (2002) 1253-1272

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, eq.(4.43) corrected and typos fixed, references added

Scientific paper

We show that the higher order derivative $\alpha^{'}$ corrections to the DBI and Chern-Simon action is derived from non-commutativity in the Seiberg-Witten limit, and is shown to agree with Wyllard's (hep-th/0008125) result, as conjectured by Das et al., (hep-th/0106024). In calculating the corrections, we have expressed $\hat F$ in terms F, $\hat A$ in terms of A up to order ${\cal O}(A^3)$, and made use of it.

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