Semi-classical Dynamical Triangulations

TL;DR

This paper demonstrates that dynamical triangulations effectively approximate the continuum moduli integrand in non-critical string theory for large negative central charge, highlighting the suppression of quantum geometric fluctuations.

Contribution

It shows that even small triangulations can accurately reproduce the continuum integrand in non-critical string theory with large negative central charge.

Findings

Small triangulations match continuum integrand well for large negative c

Quantum fluctuations diminish as c approaches -infinity

Dynamical triangulations regularize non-critical string theory effectively

Abstract

For non-critical string theory the partition function reduces to an integral over moduli space after integrating over matter fields. The moduli integrand is known analytically for genus one surfaces. The formalism of dynamical triangulations provides us with a regularization of non-critical string theory and we show that even for very small triangulations it reproduces very well the continuum integrand when the central charge $c$ of the matter fields is large negative, thus providing a striking example of how the quantum fluctuations of geometry disappear when $c \to -\infty$.