https://doi.org/10.1140/epjs/s11734-023-00829-1
Review
Fuzzy scalar field theories
Department of Theoretical Physics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská Dolina, 8428 48, Bratislava, Slovakia
Received:
13
June
2022
Accepted:
28
March
2023
Published online:
26
April
2023
We review the formulation and properties of scalar field theories defined on fuzzy spaces. We go over the two most important features that caused by the short distance structure – the UV/IR-mixing and the non-uniform order phase. We then review the matrix model approach to the analysis of fuzzy field theories, describe the relevant models and discuss the most recent results of this approach.
Noncommutativity and Physics. Guest editors: George Zoupanos, Konstantinos Anagnostopoulos, Peter Schupp.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
