Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-02-09
JHEP 0012:002,2000
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, 7 figures, Appendix
Scientific paper
10.1088/1126-6708/2000/12/002
Quantum field theory on non-commutative spaces does not enjoy the usual ultraviolet-infrared decoupling that forms the basis for conventional renormalization. The high momentum contributions to loop integrations can lead to unfamiliar long distance behavior which can potentially undermine naive expectations for the IR behavior of the theory. These "anomalies" involve non-analytic behavior in the noncommutativity parameter Theta making the limit Theta goes to zero singular. In this paper we will analyze such effects in the one loop approximation to gauge theories on non-commutative space. We will see that contrary to expectations poles in Theta do occur and lead to large discrepancies between the expected and actual infrared behavior. We find that poles in Theta are absent in supersymmetric theories. The "anomalies" are generally still present, but only at the logarithmic level. A notable exception is non-commutative super Yang Mills theory with 16 real supercharges in which anomalous effects seem to be absent altogether.
Matusis Alec
Susskind Leonard
Toumbas Nicolaos
No associations
LandOfFree
The IR/UV Connection in the Non-Commutative Gauge Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The IR/UV Connection in the Non-Commutative Gauge Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The IR/UV Connection in the Non-Commutative Gauge Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-446085