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  • Print publication year: 2019
  • Online publication date: June 2019

9 - Dirac Observables Invariant under the Hamiltonian Gauge Transformations Generated by First-Class Constraints

from Part III - Dirac–Bergmann Theory of Constraints

Summary

The method for searching the Dirac observables of a gauge theory with first- and second-class constraints based on the Shanmugadhasan canonical transformation is described. Then, for clarifying all the aspects of gauge theories there is a study of the Hessian matrix of singular Lagrangians, of the possible degenerate cases, of the equivalence of the second Noether theorem with Dirac–Bergmann theory of constraints, and of the properties of the constraints of field theories.

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