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  1. Green's functions for off-shell electromagnetism and spacelike correlations.M. C. Land & L. P. Horwitz - 1991 - Foundations of Physics 21 (3):299-310.
    The requirement of gauge invariance for the Schwinger-DeWitt equations, interpreted as a manifestly covariant quantum theory for the evolution of a system in spacetime, implies the existence of a five-dimensional pre-Maxwell field on the manifold of spacetime and “proper time” τ. The Maxwell theory is contained in this theory; integration of the field equations over τ restores the Maxwell equations with the usual interpretation of the sources. Following Schwinger's techniques, we study the Green's functions for the five-dimensional hyperbolic field equations (...)
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  • Quantum mechanics of relativistic spinless particles.John R. Fanchi & R. Eugene Collins - 1978 - Foundations of Physics 8 (11-12):851-877.
    A relativistic one-particle, quantum theory for spin-zero particles is constructed uponL 2(x, ct), resulting in a positive definite spacetime probability density. A generalized Schrödinger equation having a Hermitian HamiltonianH onL 2(x, ct) for an arbitrary four-vector potential is derived. In this formalism the rest mass is an observable and a scalar particle is described by a wave packet that is a superposition of mass states. The requirements of macroscopic causality are shown to be satisfied by the most probable trajectory of (...)
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  • The Many-Worlds Interpretation of Quantum Mechanics.B. DeWitt & N. Graham (eds.) - 1973 - Princeton UP.
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  • Off-shell fields and pauli-villars regularization.J. Frastai & L. P. Horwitz - 1995 - Foundations of Physics 25 (10):1495-1510.
    We analyze the correspondence between a five-dimensional U(1)gauge invariant theory and four-dimensional scalar QED, where the fifth dimension (τ)is an invariant parameter of evolution of the manifestly covariant one-particle sector as well as for the full Fock space. The correspondence is represented by the limit in which the width of the photon mass distribution Δs tends to zero and large τ correlations occur. In the limiting procedure, calculation of a twopoint diagram shows that the PauliVillars regularization is intrinsically related to (...)
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