Matrix Model Fixed Point of Noncommutative Phi-Four

Abstract

In this article we exhibit explicitly the matrix model ($\theta =\infty$) 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 $\nu$ and the anomalous dimension $\eta$ in various dimensions .

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

References in corpus (6)

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Cited by in corpus (3)

• Lectures on Matrix Field Theory I
• Quantized Noncommutative Geometry from Multitrace Matrix Models
• Wilson RG of Noncommutative ${\Phi }_4^4$