Matrix Models of Fuzzy Field Theories

Abstract

We briefly review the connection between the fuzzy field theories and matrix models and describe the main features of the models that appear. We summarize the different approaches to their analysis, some of the recent results and the challenges to be addressed in the future.

arXiv comment9 pages, follows a talk given at Corfu Summer Institute 2017, to appear in the proceeding of the event

References in corpus (8)

• Quantum Field Theory on Noncommutative Spaces
• Scaling Limits of the Fuzzy Sphere at one Loop
• An improved lattice measurement of the critical coupling in phi^4_2 theory
• Monte Carlo Simulation Calculation of Critical Coupling Constant for Continuum ϕ^4_2
• Fuzzy Scalar Field Theory as a Multitrace Matrix Model
• Fuzzy spaces and new random matrix ensembles
• Phase diagrams of the multitrace quartic matrix models of noncommutative Φ^4
• The Phase Diagram of Scalar Field Theory on the Fuzzy Disc