Conformal field theory of the Flory model of polymer melting

Details Conformal field theory of the Flory model of polymer melting Conformal field theory of the Flory model of polymer melting

2002-09-10

arxiv.org/abs/cond-mat/0209247v1

Physics

Condensed Matter

Statistical Mechanics

21 pages of RevTeX and 12 figures

Scientific paper

We study the scaling limit of a fully packed loop model in two dimensions, where the loops are endowed with a bending rigidity. The scaling limit is described by a three-parameter family of conformal field theories, which we characterize via its Coulomb-gas representation. One choice for two of the three parameters reproduces the critical line of the exactly solvable six-vertex model, while another corresponds to the Flory model of polymer melting. Exact central charge and critical exponents are calculated for polymer melting in two dimensions. Contrary to predictions from mean-field theory we show that polymer melting, as described by the Flory model, is continuous. We test our field theoretical results against numerical transfer matrix calculations.

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