Conformal Bootstrap Analysis for Yang-Lee Edge Singularity

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 Deltaphi 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 Deltaphi between three and six dimensions. The structure of the minors is viewed from the fixed points.

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