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arXiv · hep-th/0008002

Noncommutative Field Theory from String Theory: Two-loop Analysis

Youngjai Kiem·Sangmin Lee·Jaemo Park
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Abstract

Noncommutative ϕ^3 field theory in six dimensions exhibits the logarithmic UV/IR mixing at the two-loop order. We show that open string theory in the presence of constant background NS-NS two-form field yields the same amplitude upon taking a decoupling limit. The stretched string picture proposed on the basis of one-loop analysis naturally generalizes to the two-loop amplitudes in consideration. Our string theory formulation can incorporate the closed string insertions as well as open string insertions. Furthermore, the analysis of the world-sheet partition function and propagators can be straightforwardly generalized to Riemann surfaces with genus zero but with an arbitrary number of boundaries.

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Youngjai Kiem, Sangmin Lee, Jaemo Park. 2000-11-13. Noncommutative Field Theory from String Theory: Two-loop Analysis. https://doi.org/10.1016/s0550-3213(00)00673-8

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