On the identification of quasiprimary scaling operators in local scale-invariance

Details On the identification of quasiprimary scaling operators in local scale-invariance On the identification of quasiprimary scaling operators in local scale-invariance

2006-05-08

arxiv.org/abs/cond-mat/0605211v2

J.Phys. A39 (2006) L589-L598

Physics

Condensed Matter

Statistical Mechanics

12 pages, Latex2e with IOP macros, 2 figures included; final form

Scientific paper

10.1088/0305-4470/39/42/L01

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.

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