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

Abstract

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.

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

References in corpus (7)

• Aging, rejuvenation and memory : the example of spin glasses
• Local scale-invariance and ageing in noisy systems
• Activated aging dynamics and negative fluctuation-dissipation ratios
• Ageing phenomena without detailed balance: the contact process
• Ageing in the critical contact process: a Monte Carlo study
• Is local scale invariance a generic property of ageing phenomena ?
• On the scaling and ageing behaviour of the alternating susceptibility in spin glasses and local scale-invariance

Cited by in corpus (28)

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• Symmetry based determination of space-time functions in nonequilibrium growth processes
• Ageing in disordered magnets and local scale-invariance
• Aging in One-Dimensional Coagulation-Diffusion Processes and the Fredrickson-Andersen Model
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• Kinetics of the long-range spherical model
• Ageing in the contact process: Scaling behavior and universal features
• On logarithmic extensions of local scale-invariance
• Dynamical symmetries and causality in non-equilibrium phase transitions
• On non-local representations of the ageing algebra
• Schrödinger symmetry: a historical review
• From dynamical scaling to local scale-invariance: a tutorial
• Local scale invariance in the parity conserving nonequilibrium kinetic Ising model
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Dynamical universality of the contact process
• Non-local representations of the ageing algebra in higher dimensions
• Logarithmic correlators or responses in non-relativistic analogues of conformal invariance
• Physical ageing and new representations of some Lie algebras of local scale-invariance
• Physical ageing from generalised time-translation-invariance
• Meta-Schrödinger invariance
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• The non-equilibrium response of the critical Ising model: Universal scaling properties and Local Scale Invariance
• Numerical exploration of the Aging effects in spin systems
• Dynamical symmetries in the non-equilibrium dynamics of the directed spherical model
• Critical ageing correlators from Schrödinger-invariance
• On the predictive power of Local Scale Invariance
• Schrödinger-invariance in the voter model
• On non-local representations of the ageing algebra in $d\ge 1$ dimensions