Abstract
Correlation functions of the Edwards model of polymers at weak coupling are defined and studied at the critical point, in dimension four, by a rigorous renormalization group method which validates, at any order, perturbative renormalization group results on their behaviour at large distances. Remainders are controlled by a new argument which enlarges the use of methods of constructive field theory to models of statistical physics.
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Communicated by M. Aizenman
A large part of this work has also included the collaboration of D. Arnaudon
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Iagolitzer, D., Magnen, J. Polymers in a weak random potential in dimension four: Rigorous renormalization group analysis. Commun.Math. Phys. 162, 85–121 (1994). https://doi.org/10.1007/BF02105188
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DOI: https://doi.org/10.1007/BF02105188