Painleve III and 2D Polymers

Abstract

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

34 pages

References in corpus (4)

• A New Supersymmetric Index
• Massless Flows II: the exact S-matrix approach
• N=2 Supersymmetry, Painleve III and Exact Scaling Functions in 2D Polymers
• Massless Flows I: the sine-Gordon and O(n) models

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