Conformal Bootstrap Analysis for Yang-Lee Edge Singularity

TL;DR

This paper applies the conformal bootstrap determinant method to analyze the Yang-Lee edge singularity, estimating critical dimensions and scalar dimensions across various dimensions using epsilon expansion and Pade analysis.

Contribution

It introduces a novel application of the determinant method in conformal field theory to study the Yang-Lee edge singularity and estimates critical parameters across dimensions.

Findings

Estimated critical dimension Dc where scalar dimension vanishes.

Calculated scalar dimension Delta_phi between three and six dimensions.

Linked the determinant method results with epsilon expansion and Pade analysis.

Abstract

The Yang-Lee edge singularity is investigated by the determinant method of the conformal field theory. The critical dimension Dc, for which the scale dimension of scalar Delta_phi is vanishing, is discussed by this determinant method. The result is incorporated in the Pade analysis of epsilon expansion, which leads to an estimation of the value Delta_phi between three and six dimensions. The structure of the minors is viewed from the fixed points.