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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3):036134. doi: 10.1103/PhysRevE.66.036134. Epub 2002 Sep 27.

Renormalization group and nonequilibrium action in stochastic field theory.

Physical review. E, Statistical, nonlinear, and soft matter physics

Juan Zanella, Esteban Calzetta

Affiliations

  1. Departamento de FĂ­sica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires-Ciudad Universitaria, Pabellon I, Argentina. [email protected]

PMID: 12366211 DOI: 10.1103/PhysRevE.66.036134

Abstract

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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