On covariant Poisson brackets in field theory
arXiv:1412.2902
Abstract
A general approach is proposed to constructing covariant Poisson brackets in the space of histories of a classical field-theoretical model. The approach is based on the concept of Lagrange anchor, which was originally developed as a tool for path-integral quantization of Lagrangian and non-Lagrangian dynamics. The proposed covariant Poisson brackets generalize the Peierls' bracket construction known in the Lagrangian field theory.
Based on the talk given at Bialowieza Workshop on Geometric Methods in Physics, June 2014