On Critical Phenomena in a Noncommutative Space

Details On Critical Phenomena in a Noncommutative Space On Critical Phenomena in a Noncommutative Space

2001-03-04

arxiv.org/abs/hep-th/0103020v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures, the relevance of star product structure in low energy effective theory is clarified, the presentation is

Scientific paper

In this paper we demonstrate that coordinate noncommutativity at short distances can show up in critical phenomena through UV-IR mixing. In the symmetric phase of the Landau-Ginsburg model, noncommutativity is shown to give rise to a non-zero anomalous dimension at one loop, and to cause instability towards a new phase at large noncommutativity. In particular, in less than four dimensions, the one-loop critical exponent $\eta$ is non-vanishing at the Wilson-Fisher fixed point.

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