Matching numerical simulations to continuum field theories: A lattice renormalization study

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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15 pages RevTex, 12 postscript figures

Scientific paper

10.1016/S0550-3213(96)00535-4

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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