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.
Mathematics Subject Classification (2010). Primary 70S05; Secondary 81Q65.
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© 2015 Springer International Publishing Switzerland
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Sharapov, A.A. (2015). On Covariant Poisson Brackets in Field Theory. In: Kielanowski, P., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18212-4_12
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DOI: https://doi.org/10.1007/978-3-319-18212-4_12
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-18211-7
Online ISBN: 978-3-319-18212-4
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