2001/03/04 by Guang‐Hong Chen, Guang-Hong Chen, Chen, Guang-Hong +2
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Noncommutative and Quantum Gravity Theories #advanced mathematical theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0103020
12 pages, 2 figures, the relevance of star product structure in low energy effective theory is clarified, the presentation is improved
arxiv created 2001/05/16 · arxiv updated 2009/11/30
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.