Matrix Model Fixed Point of Noncommutative Phi-Four
High Energy Physics - Theory
2013-11-13 v4 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
In this article we exhibit explicitly the matrix model () fixed point of phi-four theory on noncommutative spacetime with only two noncommuting directions using the Wilson renormalization group recursion formula and the 1/N expansion of the zero dimensional reduction and then calculate the mass critical exponent and the anomalous dimension in various dimensions .
Keywords
Cite
@article{arxiv.1304.7303,
title = {Matrix Model Fixed Point of Noncommutative Phi-Four},
author = {Badis Ydri and Rachid Ahmim},
journal= {arXiv preprint arXiv:1304.7303},
year = {2013}
}
Comments
v3: 51 pages, section 3 is enlarged further, section 6 on the Grosse-Vignes-Tourneret model is new, a new appendix is added, the rest is unchanged