Directed Percolation with a Conserved Field and the Depinning Transition

Abstract

Conserved directed-percolation (C-DP) and the depinning transition of a disordered elastic interface belong to the same universality class as has been proven very recently by Le Doussal and Wiese [Phys. Rev. Lett.~\textbf{114}, 110601 (2015)] through a mapping of the field theory for C-DP onto that of the quenched Edwards-Wilkinson model. Here, we present an alternative derivation of the C-DP field theoretic functional, starting with the coherent state path integral formulation of the C-DP and then applying the Grassberger-transformation, that avoids the disadvantages of the so-called Doi-shift. We revisit the aforementioned mapping with focus on a specific term in the field theoretic functional that has been problematic in the past when it came to assessing its relevance. We show that this term is redundant in the sense of the renormalization group.

arXiv comment8 pages

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Cited by in corpus (8)

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• Subdiffusive Activity Spreading in the Diffusive Epidemic Process
• Field theories and quantum methods for stochastic reaction-diffusion systems
• Equivalence of mean-field avalanches and branching diffusions: From the Brownian force model to the super-Brownian motion
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles