Fuzzy field theories and related matrix models

Autor:	Mária Šubjaková, Juraj Tekel
Předmět:	Algebra High Energy Physics - Theory High Energy Physics - Theory (hep-th) Computer science Scalar (mathematics) FOS: Physical sciences Scalar field Hermitian matrix Fuzzy logic Random matrix Fuzzy sphere
Zdroj:	Scopus-Elsevier
Popis:	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. Comment: 26 pages; Contribution to the Proceedings of the Workshop "Quantum Geometry, Field Theory and Gravity", Corfu Summer Institute on Elementary Particle Physics and Gravity, 31 August-25 September 2019, Corfu, Greece
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1300aa28a24f6511f2a569a70a07732 http://www.scopus.com/inward/record.url?eid=2-s2.0-85091656587&partnerID=MN8TOARS Zobrazit plný text záznamu