A canonical structure for classical field theories

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1976 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 46, pages 183-206 (issn: 0010-3616, eissn: 1432-0916,

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Authors: Kijowski, Jerzy; Szczyrba, Wiktor;

doi: 10.1007/bf01608496

A canonical structure for classical field theories

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Abstract

A general scheme of constructing a canonical structure (i.e. Poisson bracket, canonical fields) in classical field theories is proposed. The theory is manifestly independent of the particular choice of an initial space-like surface in space-time. The connection between dynamics and canonical structure is established. Applications to theories with a gauge and constraints are of special interest. Several physical examples are given.

Related Organizations

Polish Academy of Learning
Poland
University of Warsaw
Poland

Keywords

81.58, Hamilton-Jacobi theories, Manifolds and measure-geometric topics, Variational principles of physics

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