The ultraviolet infrared mixing problem on the noncommutative Moyal space

Abstract

It is shown that the mixing of ultraviolet and infrared divergences in quantum field theory on Moyal space is not an artefact of the Euclidean framework, but occurs also in the Hamiltonian setting when the interaction is given in terms of the Moyal twisted convolution product. The mixing mechanism in both settings is examined from the point of view of microlocal analysis and it is shown that they are different from one another.

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Cited by in corpus (6)

• Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes
• Renormalization on noncommutative torus
• Propagators and Matrix Basis on Noncommutative Minkowski Space
• Degenerate noncommutativity
• Perturbative Algebraic Quantum Field Theory on Quantum Spacetime: Adiabatic and Ultraviolet Convergence
• The G-wavefront set and the twisted convolution product