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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.

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Authors and Affiliations

  1. Institute of Mathematical Methods of Physics, Warsaw University, ul. Hoża 74, 00-682, Warsaw, Poland

    Jerzy Kijowski & Wiktor Szczyrba

  2. Institute of Mathematics of the Polish Academy of Sciences, ul. Śniadeckich 8, 00-956, Warsaw, Poland

    Jerzy Kijowski & Wiktor Szczyrba

Authors
  1. Jerzy Kijowski
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  2. Wiktor Szczyrba
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Communicated by J. Ehlers

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Kijowski, J., Szczyrba, W. A canonical structure for classical field theories. Commun.Math. Phys. 46, 183–206 (1976). https://doi.org/10.1007/BF01608496

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  • DOI: https://doi.org/10.1007/BF01608496

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