Perturbative ultraviolet and infrared dynamics of noncommutative quantum field theory

Abstract

Perturbative aspects of ultraviolet and infrared dynamics of noncommutative quantum field theory is examined in detail. It is observed that high loop momentum contribution to the nonplanar diagram develops a new infrared singularity with respect to the external momentum. This singular behavior is closely related to that of ultraviolet divergence of planar diagram. It is also shown that such a relation is precise in noncommutative Yang-Mills theory, but the same feature does not persist in noncommutative generalization of QED.

arXiv comment13 pages, 2 figures, Talk given at XXXth International Conference on High Energy Physics (ICHEP2000), July 27-August 2, Osaka, Japan, Comments and references added

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• Perturbative Instabilities on the Non-Commutative Torus, Morita Duality and Twisted Boundary Conditions
• Constraining noncommutative field theories with holography
• Electromagnetic Strings: Complementarity between Time and Temperature
• Noncommutativity and Duality through the Symplectic Embedding Formalism
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory