Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-02-22
JHEP 0003:035,2000
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 6 figures, harvmac; v2: a clarifying comment added
Scientific paper
10.1088/1126-6708/2000/03/035
We analyze further the IR singularities that appear in noncommutative field theories on R^d. 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.
Raamsdonk Mark Van
Seiberg Nathan
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