Conformal bootstrap analysis for single and branched polymers

Abstract

The determinant method in the conformal bootstrap is applied for the critical phenomena of a single polymer in arbitrary D dimensions. The scale dimensions (critical exponents) of the polymer (2 < D ≤ 4) and the branched polymer (3 < D ≤ 8) are obtained from the small determinants. It is known that the dimensional reduction of the branched polymer in D dimensions to the Yang-Lee edge singularity in D− 2 dimensions holds exactly. We examine this equivalence by the small determinant method.