On Open String Sigma-Model and Noncommutative Gauge Fields

Abstract

We consider the ordinary and noncommutative Dirac-Born-Infeld theories within the open string sigma-model. First, we propose a renormalization scheme, hybrid point splitting regularization, that leads directly to the Seiberg-Witten description including their two-form. We also show how such a form appears within the standard renormalization scheme just by some freedom in changing variables. Second, we propose a Wilson factor which has the noncommutative gauge invariance on the classical level and then compute the sigma-model partition function within one of the known renormalization scheme that preserves the noncommutative gauge invariance. As a result, we find the noncommutative Yang-Mills action.

10 pages, remark and refs. added

References in corpus (6)

• String Theory and Noncommutative Geometry
• Wilson Loops in Noncommutative Yang Mills
• Finite N Matrix Models of Noncommutative Gauge Theory
• Born-Infeld action, supersymmetry and string theory
• Morita equivalence and T-duality (or B versus $\Theta$)
• Noncommutative String Theory, the R-Matrix, and Hopf Algebras

Cited by in corpus (24)

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• Quantum Field Theory on Noncommutative Spaces
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• Noncommutative gauge theory for Poisson manifolds
• Emergent Gravity from Noncommutative Spacetime
• Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
• Some Issues in Non-commutative Tachyon Condensation
• Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
• Diagrams of Noncommutative Phi-Three Theory from String Theory
• Strings, Branes and Extra Dimensions
• Wilson loops in strongly coupled noncommutative gauge theories
• Boundary Conditions, Supersymmetry and A-field Coupling for an Open String in a B-field Background
• Witten's Open String Field Theory in Constant B-Field Background
• ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
• Test of Emergent Gravity
• A Noncommutative Version of the Nonlinear Schrodinger Equation
• On the Equivalence between Noncommutative and Ordinary Gauge Theories
• Loop Equation and Wilson line Correlators in Non-commutative Gauge Theories
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• On Noncommutativity in String Theory and D-Branes
• Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models
• Quantum Systems Exactly