Second moment fuzzy-field-theory-like matrix models

Abstract

We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize this method to models with modified kinetic terms and demonstrate its use by investigating models related to the removal of the UV/IR mixing. We show that for the fuzzy sphere a modification of the kinetic part of the action by higher derivative term can change the phase diagram of the theory such that the triple point moves further from the origin.

arXiv comment21 pages, 3 figures; v2 - slight modifications, references added, published version

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Cited by in corpus (6)

• Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model
• Approximate treatment of noncommutative curvature in quartic matrix model
• Phase transitions in a ${\Phi }^4$ matrix model on a curved noncommutative space
• Beyond second-moment approximation in fuzzy-field-theory-like matrix models
• Eigenvalue-flipping Algorithm for Matrix Monte Carlo
• Pinpointing Triple Point of Noncommutative Matrix Model with Curvature