Wilson RG of noncommutative Φ44
2015 ◽
Vol 30
(33)
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pp. 1550195
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Keyword(s):
Large N
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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 [Formula: see text] fixed point which describes the disordered-to-nonuniform-ordered transition. The Wilson–Fisher fixed point at [Formula: see text] which describes the disordered-to-uniform-ordered transition, and a noncommutative Wilson–Fisher fixed point at a maximum value of [Formula: see text] which is associated with the transition between nonuniform-order and uniform-order phases.