Renormalization group and nonequilibrium action in stochastic field theory

Details Renormalization group and nonequilibrium action in stochastic field theory Renormalization group and nonequilibrium action in stochastic field theory

2002-03-27

arxiv.org/abs/cond-mat/0203566v3

Phys.Rev. E66 (2002) 036134

Physics

Condensed Matter

33 pages, 3 figures included in the text. Revised; one reference added

Scientific paper

10.1103/PhysRevE.66.036134

We investigate the renormalization group approach to nonequilibrium field theory. We show that it is possible to derive nontrivial renormalization group flow from iterative coarse graining of a closed-time-path action. This renormalization group is different from the usual in quantum field theory textbooks, in that it describes nontrivial noise and dissipation. We work out a specific example where the variation of the closed-time-path action leads to the so-called Kardar-Parisi-Zhang equation, and show that the renormalization group obtained by coarse graining this action, agrees with the dynamical renormalization group derived by directly coarse graining the equations of motion.

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