UV-IR mixing and the quantum consistency of noncommutative gauge theories

Details UV-IR mixing and the quantum consistency of noncommutative gauge theories UV-IR mixing and the quantum consistency of noncommutative gauge theories

2002-11-08

arxiv.org/abs/hep-th/0211076v1

Phys.Rev. D66 (2002) 105018

Physics

High Energy Physics

High Energy Physics - Theory

RevTex, 13 pages, 9 figures, To be published in PRD

Scientific paper

10.1103/PhysRevD.66.105018

We study the quantum mechanical consistency of noncommutative gauge theories by perturbatively analyzing the Wilsonian quantum effective action in the matrix formulation. In the process of integrating out UV states, we find new divergences having dual UV-IR interpretations and no analogues in ordinary quantum field theories. The appearance of these new UV-IR divergences has profound consequences for the renormalizability of the theory. In particular, renormalizability fails in any nonsupersymmetric noncommutative gauge theory. In fact, we argue that renormalizability generally fails in any noncommutative theory that allows quantum corrections beyond one-loop. Thus, it seems that noncommutative quantum theories are extremely sensitive to the UV, and only the softest UV behavior can be tolerated.

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