Phys. Rev. D 44, R939–R941 (1991)Covariant description of the canonical formalism
In a gauge theory, one can define the Poisson brackets of gauge-invariant functions ("observables") by three different methods. The first method is based on the constrained Hamiltonian reformulation of the theory. The other two methods, namely, the Peierls method and the covariant symplectic approach, deal directly with the Lagrangian. It is explicitly shown that these three methods are equivalent for an arbitrary gauge theory. The equivalence proof relies on the invariance of the Poisson structure among the observables under the introduction of auxiliary fields. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.44.R939
DOI:
10.1103/PhysRevD.44.R939
PACS:
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.