No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
arXiv:hep-th/0306099 · doi:10.1140/epjc/s2003-01396-8
Abstract
In this article we calculate several divergent amplitudes in phi^4-theory on non-commutative space-time in the framework of Interaction Point Time Ordered Perturbation Theory (IPTOPT), continuing work done in hep-th/0209253. On the ground of these results we find corresponding Feynman rules which allow for a much easier diagrammatic calculation of amplitudes. The most important feature of the present theory is the lack of the UV/IR mixing problem in all amplitudes calculated so far. Although we are not yet able to give a rigorous proof, we provide a strong argument for this result to hold in general. Together with the found Feynman rules this opens promising vistas towards the systematic renormalization of non-commutative field theories.
23 pages, uses package feynmf, v2: typos, added reference, minor improvements
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- Introduction to Quantum-Gravity Phenomenology
- IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem
- Ultraviolet Finiteness of the averaged Hamiltonian on the noncommutative Minkowski space
- The ultraviolet infrared mixing problem on the noncommutative Moyal space
- Perturbation theory of the space-time non-commutative real scalar field theories
- On UV/IR Mixing via Seiberg-Witten Map for Noncommutative QED
- Spacetime noncommutative effect on black hole as particle accelerators
- Towards UV Finite Quantum Field Theories from Non-Local Field Operators
- The Hierarchy Problem: From the Fundamentals to the Frontiers
- Consistent Construction of Perturbation Theory on Noncommutative Spaces