On Critical Phenomena in a Noncommutative Space

Guang-Hong Chen; Yong-Shi Wu

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arXiv · hep-th/0103020

On Critical Phenomena in a Noncommutative Space

Guang-Hong Chen·Yong-Shi Wu

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Abstract

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 $η$ is non-vanishing at the Wilson-Fisher fixed point.

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Guang-Hong Chen, Yong-Shi Wu. 2001-05-16. On Critical Phenomena in a Noncommutative Space. https://arxiv.org/abs/hep-th/0103020

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