Painleve III and 2D Polymers

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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34 pages

Scientific paper

10.1016/0550-3213(94)90029-9

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.

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