Conformal Bootstrap Analysis for Single and Branched Polymers

S. Hikami

doi:10.1093/ptep/pty132

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arXiv · 1708.03072

Conformal Bootstrap Analysis for Single and Branched Polymers

S. Hikami

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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 ($2< D \le 4$) and the branched polymer ($3 < D \le 8$) are obtained from the small determinants. It is known that the dimensional reduction of the branched polymer in $D$ dimensions to Yang-Lee edge singularity in $D$-$2$ dimensions holds exactly. We examine this equivalence by the small determinant method.

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hep-th cond-mat.dis-nn math-ph math.MP

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S. Hikami. 2017-08-10. Conformal Bootstrap Analysis for Single and Branched Polymers. https://doi.org/10.1093/ptep/pty132

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