Work

Regularization of Matrices in the Covariant Derivative Interpretation of Matrix Models

Year: 2024

Type: article

Abstract: We study regularization of matrices in the covariant derivative interpretation of matrix models, a typical example of which is the type IIB matrix model. The covariant derivative interpretation provides a possible way in which curved spacetimes are described by matrices, which are viewed as differential operators. One needs to regularize the operators as matrices of finite size in order to apply the interpretation to nonperturbative calculations such as numerical simulations. We develop a regularization of the covariant derivatives in two dimensions by using the Berezin–Toeplitz quantization. As examples, we examine the cases of $S^2$ and $T^2$ in detail.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptae180

Authors: Keiichiro Hattori, Yuki Mizuno, Asato Tsuchiya

Institution: Shizuoka University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funder: Japan Society for the Promotion of Science