PoS - Proceedings of Science
Volume 376 - Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2019) - Workshop on Quantum Geometry, Field Theory and Gravity
Fuzzy field theories and related matrix models
J. Tekel* and M. Subjakova
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Published on: August 18, 2020
Abstract
We review the description of scalar field theories on fuzzy spaces by Hermitian random matrix models. After reminding the reader of the relevant aspects of the random matrix theory and construction of the fuzzy spaces, we summarize the most important results for the scalar fields on such spaces. We then introduce the multi-trace matrix models relevant for the analytical description of scalar field theories on fuzzy spaces and show to what extent they do, and to what extent they do not, describe the know phase structure of $\phi^4$ theory on the fuzzy sphere.
DOI: https://doi.org/10.22323/1.376.0189
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