Multitrace matrix models of fuzzy field theories
M\'aria \v{S}ubjakov\'a, Juraj Tekel
TL;DR
This paper reviews analytical methods for scalar field theories on fuzzy spaces, focusing on matrix model descriptions and the challenges in approximating higher moments for consistency.
Contribution
It provides a comprehensive overview of matrix models for fuzzy field theories and discusses the difficulties in developing accurate approximations.
Findings
Matrix models effectively describe fuzzy scalar field theories.
Approximations often neglect higher moments, leading to inconsistencies.
Addressing higher moments is crucial for accurate modeling.
Abstract
We review analytical approaches to scalar field theory on fuzzy spaces. We briefly outline the matrix description of these theories and describe various approximations to the relevant matrix model. We discuss the challenge of obtaining a consistent approximation that includes the higher moments of the theory.
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