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arXiv · 1408.2329

Peierls brackets in non-Lagrangian field theory

Alexey Sharapov
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Abstract

The concept of Lagrange structure allows one to systematically quantize the Lagrangian and non-Lagrangian dynamics within the path-integral approach. In this paper, I show that any Lagrange structure gives rise to a covariant Poisson brackets on the space of solutions to the classical equations of motion, be they Lagrangian or not. The brackets generalize the well-known Peierls' bracket construction and make a bridge between the path-integral and the deformation quantization of non-Lagrangian dynamics.

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Alexey Sharapov. 2014-08-11. Peierls brackets in non-Lagrangian field theory. https://doi.org/10.1142/s0217751x14501577

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