Derivative corrections to Dirac–Born–Infeld Lagrangian and non-commutative gauge theory Original Research Article

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 the field strength and the most general form which satisfies the constraints up to this order is derived.