On covariant Poisson brackets in field theory
High Energy Physics - Theory
2014-12-10 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1412.2902,
title = {On covariant Poisson brackets in field theory},
author = {Alexey A. Sharapov},
journal= {arXiv preprint arXiv:1412.2902},
year = {2014}
}
Comments
Based on the talk given at Bialowieza Workshop on Geometric Methods in Physics, June 2014