Speaker
Description
Over the past five decades, methods of quantum field theory (QFT) have been fruitfully applied to a broad class of problems in classical physics — including phase transitions, chemical reaction kinetics, percolation, interfacial growth, fully developed turbulence, magnetohydrodynamics, and related phenomena — substantially advancing our understanding of complex stochastic systems and catalyzing the emergence of statistical field theory. For several representative models with distinct physical content, the principal stages of adapting QFT techniques to stochastic problems, highlighting issues associated with the structure of propagators and the selection of noise correlators, are delineated. The main results for fixed points, control parameters, and critical exponents are presented up to three-loop order.