Derivative corrections to Dirac-Born-Infeld Lagrangian and non-commutative gauge theory
نویسنده
چکیده
We consider the constraints on the effective Lagrangian of the rank-one gauge field on Dbranes 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. ∗ E-mail: [email protected]
منابع مشابه
On the General Structure of the Non–Abelian Born–Infeld Action
We discuss the general structure of the non–abelian Born–Infeld action, together with all of the α derivative corrections, in flat D–dimensional space– time. More specifically, we show how the connection between open strings propagating in background magnetic fields and gauge theories on non–commutative spaces can be used to constrain the form of the effective action for the massless modes of o...
متن کاملDerivative Corrections from Boundary State Computations
The boundary state formalism is used to confirm predictions from non-commutativity for the derivative corrections to the Dirac–Born–Infeld and Chern–Simons actions, at all orders in derivatives. As anticipated by S. Mukhi, the method applies by induction to every coupling in the Chern–Simons action. It is also used to derive the corrections to the Dirac–Born–Infeld action at quadratic order in ...
متن کاملDirac-Born-Infeld Action on the Tachyon Kink and Vortex
The tachyon effective field theory describing the dynamics of a non-BPS D-brane in superstring theory has an infinitely thin but finite tension kink solution describing a codimension one BPS D-brane. We study the world-volume theory of massless modes on the kink, and show that the world volume action has precisely the Dirac-Born-Infeld (DBI) form without any higher derivative corrections. We ge...
متن کاملOn the Non-abelian Born-infeld Action
We discuss some aspects of the generalization of the Born-Infeld action to non-abelian gauge groups and show how the discrepancy between Tseytlin’s symmetrized trace proposal and string theory can be corrected at order F . We also comment on the possible quadratic order fermionic terms. While the talk I gave at the Gong Show session of Cargèse’ 99 Summer School was devoted to an outline of the ...
متن کاملSkyrmion model and hidden symmetries
The SU(2) collective coordinates expansion of the Born-Infeld Skyrmion Lagrangian is performed. The classical Hamiltonian is computed from this special Lagrangian in approximative way: it is derived from the expansion of this non-polynomial Lagrangian up to secondorder variable in the collective coordinates. This second-class constrained model is quantized by Dirac Hamiltonian method and symple...
متن کامل