title: Measuring functional renormalization group fixed-point functions for pinned manifolds.
abstract: Exact numerical minimization of interface energies is used to test the functional renormalization group analysis for interfaces pinned by quenched disorder. The fixed-point function R(u) (the correlator of the coarse-grained disorder) is computed. In dimensions D=d+1, a linear cusp in R''(u) is confirmed for random bond (d=1, 2, 3), random field (d=0, 2, 3), and periodic (d=2, 3) disorders. The functional shocks that lead to this cusp are seen. Small, but significant, deviations from the 1-loop calculation are compared to 2-loop corrections and chaos is measured.
authors.affiliation: Department of Physics, Syracuse University, Syracuse, New York 13244, USA.
authors.forename: A Alan
authors.initials: AA
authors.lastname: Middleton
authors.forename: Pierre
authors.initials: P
authors.lastname: Le Doussal
authors.forename: Kay Jörg
authors.initials: KJ
authors.lastname: Wiese