Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory

Details Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory Quantum Corrections for Translation-Invariant Renormalizable Non-Commutative Phi^4 Theory

2008-07-21

arxiv.org/abs/0807.3270v3

JHEP 0811:074,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, v2: slightly extended version including a new section on one-loop renormalization, v3: minor revision

Scientific paper

10.1088/1126-6708/2008/11/074

In this paper we elaborate on the translation-invariant renormalizable Phi^4 theory in 4-dimensional non-commutative space which was recently introduced by the Orsay group. By explicitly performing Feynman graph calculations at one loop and higher orders we illustrate the mechanism which overcomes the UV/IR mixing problem and ultimately leads to a renormalizable model. The obtained results show that the IR divergences are also suppressed in the massless case, which is of importance for the gauge field theoretic generalization of the scalar field model.

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