The UV/IR Interplay in Theories with Space-time Varying Non-commutativity

preprint2003arXivOpen access

Abstract

We consider scalar field theory with space and space-time-dependent non-commutativity. In perturbation theory, we find that the structure of the UV/IR mixing is quite different from cases with constant non-commutativity. In particular, UV/IR mixing becomes intertwined in an interesting way with violations of momentum conservation.

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