2006/05/31 by Malte Henkel, Tilman Enss, Michel Pleimling · 42 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Amplitude #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Context (archaeology) #Geometry #Glauber #Ising model #Mathematics #Observable #Physics #Quantum mechanics #Scale invariance #Scaling #Scattering #Statistical physics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech #hep-lat #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/39/42/l01
published in Journal of Physics A Mathematical and General 39(42), L589-L598 (Institute of Physics) · 12 pages, Latex2e with IOP macros, 2 figures included; final form
arxiv created 2006/07/24 · openalex publication_date 2006/10/04 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The relationship between physical observables defined in lattice models and the associated (quasi-)primary scaling operators of the underlying field theory is revisited. In the context of local scale-invariance, we argue that this relationship is only defined up to a time-dependent amplitude and derive the corresponding generalizations of predictions for two-time response and correlation functions. Applications to non-equilibrium critical dynamics of several systems, with a fully disordered initial state and vanishing initial magnetization, including the Glauber–Ising model, the Frederikson–Andersen model and the Ising spin glass are discussed. The critical contact process and the parity-conserving non-equilibrium kinetic Ising model are also considered.