title: Finite-scale singularity in the renormalization group flow of a reaction-diffusion system.
abstract: We study the nonequilibrium critical behavior of the pair contact process with diffusion (PCPD) by means of nonperturbative functional renormalization group techniques. We show that usual perturbation theory fails because the effective potential develops a nonanalyticity at a finite length scale: Perturbatively forbidden terms are dynamically generated and the flow can be continued once they are taken into account. Our results suggest that the critical behavior of PCPD can be either in the directed percolation or in a different (conjugated) universality class.
authors.affiliation: Service de Physique de l'Etat Condensé, CEA Saclay, CNRS URA 2464, 91191 Gif-sur-Yvette, France and Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, 4 Place Jussieu, 75252 Paris, France.
authors.forename: Damien
authors.initials: D
authors.lastname: Gredat
authors.affiliation: Service de Physique de l'Etat Condensé, CEA Saclay, CNRS URA 2464, 91191 Gif-sur-Yvette, France and Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, 4 Place Jussieu, 75252 Paris, France.
authors.forename: Hugues
authors.initials: H
authors.lastname: Chaté
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, 4 Place Jussieu, 75252 Paris, France.
authors.forename: Bertrand
authors.initials: B
authors.lastname: Delamotte
authors.affiliation: Service de Physique de l'Etat Condensé, CEA Saclay, CNRS URA 2464, 91191 Gif-sur-Yvette, France.
authors.forename: Ivan
authors.initials: I
authors.lastname: Dornic