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Communications in Mathematical Physics

, Volume 46, Issue 2, pp 183–206 | Cite as

A canonical structure for classical field theories

  • Jerzy Kijowski
  • Wiktor Szczyrba
Article

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.

Keywords

Neural Network Statistical Physic Field Theory Complex System Special Interest 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • Jerzy Kijowski
    • 1
    • 2
  • Wiktor Szczyrba
    • 1
    • 2
  1. 1.Institute of Mathematical Methods of PhysicsWarsaw UniversityWarsawPoland
  2. 2.Institute of Mathematics of the Polish Academy of SciencesWarsawPoland

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