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arXiv · 1509.03605

Wilson RG of Noncommutative $\Phi_{4}^4$

Badis Ydri·Rachid Ahmim·Adel Bouchareb
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Abstract

We present a study of phi-four theory on noncommutative spaces using a combination of the Wilson renormalization group recursion formula and the solution to the zero dimensional vector/matrix models at large $N$. Three fixed points are identified. The matrix model $\theta=\infty$ fixed point which describes the disordered-to-non-uniform-ordered transition. The Wilson-Fisher fixed point at $\theta=0$ which describes the disordered-to-uniform-ordered transition, and a noncommutative Wilson-Fisher fixed point at a maximum value of $\theta$ which is associated with the transition between non-uniform-order and uniform-order phases.

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Badis Ydri, Rachid Ahmim, Adel Bouchareb. 2015-09-11. Wilson RG of Noncommutative $\Phi_{4}^4$. https://doi.org/10.1142/s0217751x1550195x

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