Painlevé III and 2D polymers

Al B. Zamolodchikov

doi:10.1016/0550-3213(94)90029-9

Painlevé III and 2D polymers

Al B. Zamolodchikov

Institute for Theoretical Physics

Research output: Contribution to journal › Article › peer-review

104 Scopus citations

Abstract

Recently, the scaling function of the dilute non-contractible self-avoiding 2D polymer loop on a cylinder was the related to the Painlevé III transcendent. Using perturbation theory, the thermodynamic Bethe ansatz and numerical calculations we argue a similar relation for the contractible self-avoiding loop.

Original language	English
Pages (from-to)	427-456
Number of pages	30
Journal	Nuclear Physics, Section B
Volume	432
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(94)90029-9
State	Published - Dec 26 1994

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title = "Painlev{\'e} III and 2D polymers",

abstract = "Recently, the scaling function of the dilute non-contractible self-avoiding 2D polymer loop on a cylinder was the related to the Painlev{\'e} III transcendent. Using perturbation theory, the thermodynamic Bethe ansatz and numerical calculations we argue a similar relation for the contractible self-avoiding loop.",

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N2 - Recently, the scaling function of the dilute non-contractible self-avoiding 2D polymer loop on a cylinder was the related to the Painlevé III transcendent. Using perturbation theory, the thermodynamic Bethe ansatz and numerical calculations we argue a similar relation for the contractible self-avoiding loop.

AB - Recently, the scaling function of the dilute non-contractible self-avoiding 2D polymer loop on a cylinder was the related to the Painlevé III transcendent. Using perturbation theory, the thermodynamic Bethe ansatz and numerical calculations we argue a similar relation for the contractible self-avoiding loop.

UR - https://www.scopus.com/pages/publications/0010990808

U2 - 10.1016/0550-3213(94)90029-9

DO - 10.1016/0550-3213(94)90029-9

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AN - SCOPUS:0010990808

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EP - 456

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

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Painlevé III and 2D polymers

Abstract

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