On the Equivalence between Noncommutative and Ordinary Gauge Theories

Abstract

Recently Seiberg and Witten have proposed that noncommutative gauge theories realized as effective theories on D-brane are equivalent to some ordinary gauge theories. This proposal has been proved, however, only for the Dirac-Born-Infeld action in the approximation of neglecting all derivative terms. In this paper we explicitly construct general forms of the 2n-derivative terms which satisfy this equivalence under their assumption in the approximation of neglecting (2 n+2)-derivative terms. We also prove that the D-brane action computed in the superstring theory is consistent with the equivalence neglecting the fourth and higher order derivative terms.

18 pages, LaTeX, no figures. minor corrections, references added, note added is changed, version to appear in JHEP

References in corpus (5)

• Nonlinear Instantons from Supersymmetric p-Branes
• Derivative corrections to Dirac-Born-Infeld Lagrangian and non-commutative gauge theory
• On Open String Sigma-Model and Noncommutative Gauge Fields
• Constraints on effective Lagrangian of D-branes from non-commutative gauge theory
• Matrix Theory Star Products from the Born-Infeld Action

Cited by in corpus (9)

• Emergent Gravity from Noncommutative Spacetime
• A Note on Superfields and Noncommutative Geometry
• Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
• Evidence for Winding States in Noncommutative Quantum Field Theory
• Derivative corrections to the D-brane Born-Infeld action: non-geodesic embeddings and the Seiberg-Witten map
• Constraints on effective Lagrangian of D-branes from non-commutative gauge theory
• Noncommutativity and Tachyon Condensation
• Open-String Actions and Noncommutativity Beyond the Large-B Limit
• Noncommutative Supersymmetric Yang-Mills Theory in Ten-Dimensions with Higher-Derivative Terms