Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-06-21
J. Phys. A: Math. Theor. 44 (2011) 495001
Physics
Condensed Matter
Statistical Mechanics
28 pages, 1 figure, minor corrections prior to publication
Scientific paper
10.1088/1751-8113/44/49/495001
This paper is devoted to presenting in detail the non-perturbative renormalization group (NPRG) formalism to investigate out-of-equilibrium systems and critical dynamics in statistical physics. The general NPRG framework for studying non-equilibrium steady states in stochastic models is expounded and fundamental technicalities are stressed, mainly regarding the role of causality and of Ito's discretization. We analyze the consequences of Ito's prescription in the NPRG framework and eventually provide an adequate regularization to encode them automatically. Besides, we show how to build a supersymmetric NPRG formalism with emphasis on time-reversal symmetric problems, whose supersymmetric structure allows for a particularly simple implementation of NPRG in which causality issues are transparent. We illustrate the two approaches on the example of Model A within the derivative expansion approximation at order two, and check that they yield identical results.
Canet Léonie
Chate' Hugues
Delamotte Bertrand
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