Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation

TL;DR

This paper presents a method to enhance RG perturbation theory by calculating the infrared central charge of perturbed conformal field theories using a dispersion relation that leverages the analyticity of the energy-momentum tensor correlator.

Contribution

It introduces a novel approach that improves the accuracy of IR central charge calculations in perturbed minimal models through dispersion relations.

Findings

Enhanced IR central charge calculations for perturbed models

Demonstrated improved accuracy over traditional methods

Applicable to a range of minimal models

Abstract

We illustrate a method for improving Renormalisation Group improved perturbation theory by calculating the infrared central charge of a perturbed conformal field theory. The additional input is a dispersion relation that exploits analyticity of the energy-momentum tensor correlator.