The NonAbelian Born-Infeld action and noncommutative gauge theory
Jun, 200017 pages
Published in:
- JHEP 07 (2000) 033
e-Print:
- hep-th/0006058 [hep-th]
Report number:
- UT-896
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Abstract:
In this paper we explicitly show the equivalence between the non-Abelian Born-Infeld action, which was proposed by Tseytlin as an effective action on several D-branes, and its noncommutative counterpart for slowly varying fields. This confirms the equivalence between the two descriptions of the D-branes using an ordinary gauge theory with a constant B field background and a noncommutative gauge theory, claimed by Seiberg and Witten. We also construct the general forms of the 2 n-derivative terms for non-Abelian gauge fields which are consistent with the equivalence in the approximation of neglecting (2 n+2)-derivative terms.- Born-Infeld model: nonabelian
- field theory: action
- differential geometry: noncommutative
- expansion: derivative
- membrane model: D-brane
- effective action
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