title: Supersymmetry and its spontaneous breaking in the random field Ising model.
abstract: We provide a resolution of one of the long-standing puzzles in the theory of disordered systems. By reformulating the functional renormalization group for the critical behavior of the random field Ising model in a superfield formalism, we are able to follow the associated supersymmetry and its spontaneous breaking along the functional renormalization group flow. Breaking is shown to occur below a critical dimension d(DR) ≃ 5.1 and leads to a breakdown of the "dimensional reduction" property. We compute the critical exponents as a function of dimension and give evidence that scaling is described by three independent exponents.
authors.affiliation: LPTMC, CNRS-UMR 7600, Université Pierre et Marie Curie, boîte 121, 4 Pl. Jussieu, 75252 Paris Cedex 05, France.
authors.forename: Matthieu
authors.initials: M
authors.lastname: Tissier
authors.forename: Gilles
authors.initials: G
authors.lastname: Tarjus