Author/Authors :
The study of non-linear phenomena in systems with many degrees of freedom often relies on complex numerical simulations. In trying to model realistic situations، نويسنده , , these systems may be coupled to an external environment which drives their dynamics. For non-linear field theories coupled to thermal (or quantum) baths، نويسنده , , 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، نويسنده , , a self-consistent method is presented to match lattice results to continuum models. As an application، نويسنده , , symmetry restoration in ?4 models is investigated.، نويسنده ,
Abstract :
The study of non-linear 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 non-linear 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 φ4 models is investigated.
