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arXiv · hep-th/0110066

Anatomy of Two-Loop Effective Action in Noncommutative Field Theories

Y. Kiem·S. -S. Kim·S. -J. Rey·H. -T. Sato
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Abstract

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $λ[Φ^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.

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Y. Kiem, S. -S. Kim, S. -J. Rey, H. -T. Sato. 2001-10-24. Anatomy of Two-Loop Effective Action in Noncommutative Field Theories. https://doi.org/10.1016/s0550-3213(02)00589-8

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