# Polymers below the theta point: Renormalization group considerations

Biswas, Parbati and Paramekanti, Arun and Cherayil, Binny J (1995) Polymers below the theta point: Renormalization group considerations. In: The Journal of Chemical Physics, 103 (17). pp. 7562-7568.

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## Abstract

The average size of long chains below the theta point is discussed in terms of a continuum model in which the chain is viewed as a collapsed phase perturbed by repulsive pair interactions. The representation of the collapsed phase makes use of the path integral formulation of a colored noise process introduced in an earlier paper [J. Chem. Phys. 99, 9230 (1993)], while the pair interactions are approximated as delta function pseudopotentials of strength $v_0$. By treating the excluded volume perturbatively, the model can be described (at first order in $v_0$) by renormalization group (RG) methods using dimensional regularization, \epsilon expansion and minimal subtraction of poles. The nature of the fixed points of the RG transformation suggests that the collapse transition may be first order.

Item Type: Journal Article Copyright of this article belongs to American Institute of Physics. Division of Chemical Sciences > Inorganic & Physical Chemistry 30 Jun 2008 11 May 2011 09:20 http://eprints.iisc.ernet.in/id/eprint/9821