# Hao Shen : Stochastic quantization of gauge theories

Quantum field theory is the theoretical framework for studying fundamental interactions. "Stochastic quantizationÂ? refers to a formulation of quantum field theory as stochastic PDEs. The recent years witnessed interesting progress in understanding solutions of these stochastic PDEs, one of the remarkable examples being Hairer and Mourrat-Weber's results on the Phi^4_3 equation.

In this talk we will discuss stochastic quantization of quantum field theory with gauge symmetries, with focus on an Abelian example but also provide prospects of non-Abelian Yang-Mills theories. We address issues regarding WilsonÂ?s lattice regularization, dynamical gauge fixing, renormalization, Ward identities, and construction of dynamical loop and string observables.

**Category**: Probability**Duration**: 06:32**Date**: March 1, 2018 at 3:10 PM**Views**: 108-
**Tags:**seminar, Probability Seminar

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