Factorization and generalized *-products

Abstract

The generalized *-products, or the ${\ast }_N$-products, appear both in the one-loop effective action of noncommutative Yang-Mills theories and in the coupling of a closed string to N open strings on a disk when the D-brane world-volume is noncommutative. Factorization of the string amplitudes provides a uniform understanding of the ${\ast }_N$-products and a hint to obtain a simple, explicit formula (in the momentum space) for arbitrary N in the non-Abelian case. Possible extension to a more general ${}_M{\ast }_N$-product in the M-loop context is discussed.

arXiv comment11 pages, 3 figures; v2. a reference added, typos corrected

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Cited by in corpus (7)

• How Noncommutative Gauge Theories Couple to Gravity
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• Open Wilson Lines and Generalized Star Product in Noncommutative Scalar Field Theories
• Interacting Open Wilson Lines in Noncommutative Field Theories
• One-loop Noncommutative U(1) Gauge Theory from Bosonic Worldline Approach
• Dirac-Born-Infeld action, Seiberg-Witten map, and Wilson Lines
• Open-String Actions and Noncommutativity Beyond the Large-B Limit