Conformal bootstrap analysis for single and branched polymers

Hikami, S (Mathematical and Theoretical Physics Unit, Okinawa Institute of Science and Technology Graduate University, Okinawa, Onna 904-0495, Japan)

27 December 2018

Abstract: The determinant method in the conformal bootstrap is applied for the critical phenomena of a single polymer in arbitrary dimensions. The scale dimensions (critical exponents) of the polymer ( ) and the branched polymer ( ) are obtained from the small determinants. It is known that the dimensional reduction of the branched polymer in dimensions to the Yang–Lee edge singularity in dimensions holds exactly. We examine this equivalence by the small determinant method.

Published in: PTEP 2018 (2018) 123I01
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/pty132
arXiv: 1708.03072
License: CC-BY-3.0

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