Special Session 4: Control and Optimization

Some recent results in stochastic quantization

Hao Shen
University of Wisconsin - Madison
USA
Co-Author(s):    
Abstract:
Stochastic quantization is a procedure in which the study of a quantum field theory is turned to a stochastic PDE problem. Thanks to the recent developments of SPDE theories, the stochastic quantization equations of many quantum field theory models can be rigorously studied now. We survey some of these recent results, which include construction of the solutions to these stochastic quantization equations and the analysis of properties of these solutions.