Covariant Hamiltonian formalisms for particles and antiparticles

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, Latex, to be published in Int. J. Theor. Phys

Scientific paper

The hyperplane and proper time formalisms are discussed mainly for the spin-half particles in the quantum case. A connection between these covariant Hamiltonian formalisms is established. It is showed that choosing the space-like hyperplanes instantaneously orthogonal to the direction of motion of the particle the proper time formalism is retrieved on the mass shell. As a consequence, the relation between the St\"uckelberg-Feynman picture and the standard canonical picture of quantum field theory is clarified.

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