The author performs a transfer matrix study of the F model and the Flory model of polymer melting. For the F model, which can be reformulated in terms of polymers, he calculates numerically the exponent eta (T) of the massless phase and the results are in good agreement with recent conjectures. For the Flory model the author finds a very similar behaviour suggesting that these two models have the same kind of transition. The discrepancy with Monte Carlo calculations where a first-order phase transition has been found is discussed.
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Hubert Saleur (1986) studied this question.
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