Hard Non-commutative Loops Resummation

Details Hard Non-commutative Loops Resummation Hard Non-commutative Loops Resummation

2001-02-13

arxiv.org/abs/hep-th/0102070v3

Phys.Rev.Lett. 88 (2002) 071601

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 3 figures. The resummation procedure is now discussed also at finite ultraviolet cut-off. Minor changes in abstract a

Scientific paper

10.1103/PhysRevLett.88.071601

The non-commutative version of the euclidean $g^2\phi^4$ 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 divergencies 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 $O(g^3)$ contributions in the massless case, and $O(g^6\log g^2)$ in the massive one.

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