Beyond second-moment approximation in fuzzy-field-theory-like matrix models

Abstract

We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar field theory on fuzzy spaces. We include up to the fourth moment of the eigenvalue distribution into the multi-trace part of the probability distribution, which stems from the kinetic term of the field theory action. We show that by considering different multi-trace behavior in the large moment and in the small moment regimes of the model, it is possible to obtain a matrix model, which describes the numerically observed phase structure of fuzzy field theories. Including the existence of uniform order phase, triple point, and an approximately straight transition line between the uniform and non-uniform order phases.

Minor typos corrected, published version

References in corpus (6)

• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n
• The Continuum Phase Diagram of the 2d Non-Commutative lambda phi**4 Model
• Bootstrapping Fuzzy Scalar Field Theory
• Renormalization footprints in the phase diagram of the Grosse-Wulkenhaar model
• Momentum-space entanglement in scalar field theory on fuzzy spheres

Cited by in corpus (1)

• Pinpointing Triple Point of Noncommutative Matrix Model with Curvature