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

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.

15 pages, LaTeX, References added

References in corpus (4)

• Effective Field Theories on Non-Commutative Space-Time
• Time-Dependent Warping, Fluxes, and NCYM
• The Seiberg-Witten Map for a Time-dependent Background
• Hopf-algebra description of noncommutative-spacetime symmetries

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