English

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 (θ=\theta=\infty) 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 ν\nu and the anomalous dimension η\eta 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

R2 v1 2026-06-22T00:07:15.921Z