UV/IR Mixing in Noncommutative Field Theory via Open String Loops

Abstract

We explicitly evaluate one-loop (annulus) planar and nonplanar open string amplitudes in the presence of the background NS-NS two-form field. In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes reproduce the UV/IR mixing of noncommutative field theories. In particular, the investigation of the UV regime of the open string amplitudes shows that certain IR closed string degrees of freedom survive the decoupling limit as previously predicted from the noncommutative field theory analysis. These degrees of freedom are responsible for the quadratic, linear and logarithmic IR singularities when the D-branes embedded in space-time have the codimension zero, one and two, respectively. The analysis is given for both bosonic and supersymmetric open strings.

15 pages, 3 eps figures; v2. An error in gauge boson amplitudes corrected and now they are identical to the ones in hep-th/0003180

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• String Theory and Noncommutative Geometry
• Introduction to string field theory
• D-branes and Deformation Quantization
• Large N Limit of Non-Commutative Gauge Theories
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Superstring Perturbation Theory and Ramond-Ramond Backgrounds
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Cited by in corpus (20)

• Noncommutative Field Theory
• Trace Anomaly in Quantum Spacetime Manifold
• Hermitian Analyticity, IR/UV Mixing and Unitarity of Noncommutative Field Theories
• Perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory
• UV/IR mixing and the Goldstone theorem in noncommutative field theory
• The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
• Effective Finite Temperature Partition Function for Fields on Non-Commutative Flat Manifolds
• IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
• Canonical Quantization of Noncommutative Field Theory
• Factorization and generalized *-products
• One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach
• Aspects of Open-Closed Duality in a Background B-Field
• Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory
• Aspects of Open-Closed Duality in a Background B-Field II
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• Unitarity of noncommutative field theories from string theory
• Open string derivation of winding states in thermal noncommutative field theories
• Stretched strings and worldsheets with a handle
• Multiloop Noncommutative Open String Theory and their QFT limit
• One-loop unitarity of string theories in a constant external background and their Seiberg-Witten limit