Derivative corrections to Dirac-Born-Infeld and Chern-Simon actions from Non-commutativity
Abstract
Description
We show that the higher order derivative $α^{'}$ 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.
16 pages, LaTeX, eq.(4.43) corrected and typos fixed, references added
16 pages, LaTeX, eq.(4.43) corrected and typos fixed, references added