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arXiv · 1412.2902

On covariant Poisson brackets in field theory

Alexey A. Sharapov
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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.

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Alexey A. Sharapov. 2014-12-09. On covariant Poisson brackets in field theory. https://arxiv.org/abs/1412.2902

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