Logarithmic Correlations in Quenched Random Magnets and Polymers

Abstract

It is argued that logarithmic factors multiplying power law behavior are to be expected at or near non-mean field critical points of systems with short-range interactions described theoretically by any kind of n -> 0 limit, in which the effective free energy vanishes. Explicit examples are given for quenched random ferromagnets, polymer statistics and percolation, but the phenomenon is quite general.

4 pages

Cited by in corpus (36)

• Logarithmic Minimal Models
• Logarithmic extensions of minimal models: characters and modular transformations
• Logarithmic Conformal Field Theory: Beyond an Introduction
• From Percolation to Logarithmic Conformal Field Theory
• Logarithmic Conformal Field Theory: a Lattice Approach
• Fractal dimensions of self-avoiding walks and Ising high-temperature graphs in 3D conformal bootstrap
• Conformal Field Theory at central charge c=0 and Two-Dimensional Critical Systems with Quenched Disorder
• Lattice fusion rules and logarithmic operator product expansions
• Holographic applications of logarithmic conformal field theories
• Disordered Systems and the Replica Method in AdS/CFT
• Indecomposability parameters in chiral Logarithmic Conformal Field Theory
• Logarithmic observables in critical percolation
• sl(2)_{-1/2} and the Triplet Model
• Integrable Boundary Conditions and W-Extended Fusion in the Logarithmic Minimal Models LM(1,p)
• A modular invariant bulk theory for the c=0 triplet model
• Operator Product Expansion in Logarithmic Conformal Field Theory
• Fusion algebra of critical percolation
• Conformal field theory at central charge c=0: a measure of the indecomposability (b) parameters
• Operator content of the critical Potts model in d dimensions and logarithmic correlations
• On the Percolation BCFT and the Crossing Probability of Watts
• The Neveu-Schwarz and Ramond Algebras of Logarithmic Superconformal Field Theory
• Counterterms, critical gravity and holography
• Disordered Systems and Logarithmic Conformal Field Theory
• Exact logarithmic four-point functions in the critical two-dimensional Ising model
• SLE local martingales in logarithmic representations
• Ising and Potts Models on Quenched Random Gravity Graphs
• High-temperature series for the bond-diluted Ising model in 3, 4 and 5 dimensions
• Logarithmic Conformal Field Theories and Strings in Changing Backgrounds
• Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity
• Extended chiral algebras and the emergence of SU(2) quantum numbers in the Coulomb gas
• RG and logarithmic CFT multicritical properties of randomly diluted Ising models
• Logarithmic Correlations in Quantum Hall Plateau Transitions
• Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8), and Correlations in $c=-2$ Logarithmic CFT
• Elusive phase transition in the replica limit of monitored systems
• Logarithmic operators in $c=0$ bulk CFTs
• Contour Integral Representations for the Characters of Logarithmic CFTs