The D=1 Matrix Model and the Renormalization Group

TL;DR

This paper applies the renormalization group method to compute the critical exponents of one-dimensional string theory, providing insights into its critical behavior.

Contribution

It introduces a renormalization group approach to analyze the critical exponents in the D=1 matrix model, advancing theoretical understanding.

Findings

Computed critical exponents to leading order

Validated the renormalization group approach for D=1 string theory

Provided a framework for future higher-order calculations

Abstract

We compute the critical exponents of $d = 1$ string theory to leading order, using the renormalization group approach recently suggested by Br\'{e}zin and Zinn-Justin.