Polymers and Topological Field Theory: A 2 Loop Computation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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17 pages with 5 figures (included), DFTT 29/92

Scientific paper

10.1016/0370-2693(92)91330-C

Within the Quantum Action Principle framework we show the perturbative renormalizability of previously proposed topological lagrangian \`a la Witten-Fujikawa describing polymers, then we perform a 2 loop computation. The theory turns out to have the same predictive power of De Gennes theory, even though its running coupling constants exhibit a very peculiar behaviour. Moreover we argue that the theory presents two phases , a topological and a non topological one.

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