Publication Type |
Manuscript |
School or College |
College of Science |
Department |
Physics |
Creator |
Wu, Yong-Shi |
Other Author |
Chen, Guang-Hong |
Title |
Renormalization group equations and the Lifshitz point in noncommutative Landau-Ginsburg theory |
Date |
2002-02 |
Description |
A one-loop renormalization group (RG) analysis is performed for noncommutative Landau-Ginsburg theory in an arbitrary dimension. We adopt a modern version of the Wilsonian RG approach, in which a shell integration in momentum space bypasses the potential IR singularities due to UV-IR mixing. The momentum-dependent trigonometric factors in interaction vertices, characteristic of noncommutative geometry, are marginal under RG transformations, and their marginality is preserved at one loop. A negative Θ-dependent anomalous dimension is discovered as a novel effect of the UV-IR mixing. We also found a noncommutative Wilson-Fisher (NCWF) fixed point in less than four dimensions. At large noncommutativity, a momentum space instability is induced by quantum fluctuations, and a consequential first-order phase transition is identified together with a Lifshitz point in the phase diagram. In the vicinity of the Lifshitz point, we introduce two critical exponents vm and _x000C_k, whose values are determined to be 1/4 and 1/2, respectively, at mean-field level. |
Type |
Text |
Publisher |
Elsevier |
Journal Title |
Nuclear Physics B |
Volume |
622 |
Issue |
02-Jan |
First Page |
189 |
Last Page |
214 |
DOI |
10.1016/S0550-3213(01)00587-9 |
citatation_issn |
5503213 |
Language |
eng |
Bibliographic Citation |
Chen, G.-H., & Wu, Y.-S. (2002). Renormalization group equations and the Lifshitz point in noncommutative Landau-Ginsburg theory. Nuclear Physics B, 622(1-2), 1-36. |
Rights Management |
(c) Elsevier http://dx.doi.org/10.1016/S0550-3213(01)00587-9 |
Format Medium |
application/pdf |
Format Extent |
256,793 bytes |
Identifier |
ir-main,9432 |
ARK |
ark:/87278/s6c544cr |
Setname |
ir_uspace |
ID |
706103 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6c544cr |