Comments on noncommutative perturbative dynamics

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Published 14 April 2000 Published under licence by IOP Publishing Ltd
, , Citation Mark Van Raamsdonk and Nathan Seiberg JHEP03(2000)035 DOI 10.1088/1126-6708/2000/03/035

1126-6708/2000/03/035

Abstract

We analyze further the IR singularities that appear in noncommutative field theories on Script Rd. We argue that all IR singularities in nonplanar one loop diagrams may be interpreted as arising from the tree level exchanges of new light degrees of freedom, one coupling to each relevant operator. These exchanges are reminiscent of closed string exchanges in the double twist diagrams in open string theory. Some of these degrees of freedom are required to have propagators that are inverse linear or logarithmic. We suggest that these can be interpreted as free propagators in one or two extra dimensions respectively. We also calculate some of the IR singular terms appearing at two loops in noncommutative scalar field theories and find a complicated momentum dependence which is more difficult to interpret.

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