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Phys Rev Lett. 2002 Feb 18;88(7):071601. Epub 2002 Jan 31.

Hard noncommutative loops resummation.

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1
Dipartimento di Fisica, Università di Parma, INFN-Gruppo Collegato di Parma, Parco Area delle Scienze, 7/A, I-43100 Parma, Italy.

Abstract

The noncommutative version of the Euclidean g2phi4 theory is considered. By using Wilsonian flow equations the ultraviolet renormalizability can be proved to all orders in perturbation theory. On the other hand, the infrared sector cannot be treated perturbatively and requires a resummation of the leading divergences in the two-point function. This is analogous to what is done in the hard thermal loops resummation of finite temperature field theory. Next-to-leading order corrections to the self-energy are computed, resulting in O(g3) contributions in the massless case, and O(g6logg2) in the massive one.

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