Derivative corrections to Dirac-Born-Infeld Lagrangian and non-commutative gauge theory
High Energy Physics - Theory
2015-06-26 v2
Abstract
We consider the constraints on the effective Lagrangian of the rank-one gauge field on D-branes imposed by the equivalence between the description by ordinary gauge theory and that by non-commutative gauge theory in the presence of a constant B field. It is shown that we can consistently construct the two-derivative corrections to the Dirac-Born-Infeld Lagrangian up to the quartic order of field strength and the most general form which satisfies the constraints up to this order is derived.
Keywords
Cite
@article{arxiv.hep-th/9909132,
title = {Derivative corrections to Dirac-Born-Infeld Lagrangian and non-commutative gauge theory},
author = {Yuji Okawa},
journal= {arXiv preprint arXiv:hep-th/9909132},
year = {2015}
}
Comments
20 pages, LaTeX2e, no figures; v2: (foot)notes added including an important one at the end of the paper, minor corrections, to appear in Nucl. Phys. B