Noncommutative field theory from string theory: two-loop analysis

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 o...

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Bibliographic Details
Published inNuclear physics. B Vol. 594; no. 1; pp. 169 - 189
Main Authors Kiem, Youngjai, Lee, Sangmin, Park, Jaemo
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2001
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Summary: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(00)00673-8