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Matching numerical simulations to continuum field theories: A lattice renormalization study
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abstract
The study of nonlinear phenomena in systems with many degrees of freedom often relies on complex numerical simulations. In trying to model realistic situations, these systems may be coupled to an external environment which drives their dynamics. For nonlinear field theories coupled to thermal (or quantum) baths, discrete lattice formulations must be dealt with extreme care if the results of the simulations are to be interpreted in the continuum limit. Using techniques from renormalization theory, a self-consistent method is presented to match lattice results to continuum models. As an application, symmetry restoration in $\phi^4$ models is investigated.
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What happens when supercooling is terminated by curvature flipping of the effective potential?
Supercooling terminated by curvature flipping still proceeds by bubble nucleation and expansion, not by smooth phase mixing, according to 3D lattice simulations.
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