We develop the WKB expansion to relate Quantum Field Theory variables with those describing macroscopical matter. We find that, up to the first quantum correction, free scalar fields correspond to perfect fluids with pressure. We also find the law of motion for the associated particles which takes into account deviations from the classical trajectories, showing that they do not follow unaccelerated straight line trajectories.
La posición inicial de Einstein con respecto al éter electromagnético y su posterior eliminación del escenario de la relatividad especial resultaron profundamente alteradas por la relatividad general. En este artículo analizamos los diferentes argumentos de Einstein contra el éter electromagnético. Luego estudiamos las razones que lo llevaron a reintroducir el éter gravitatorio en la relatividad general. Después de comparar las propiedades y funciones del antiguo éter con las del nuevo éter relativista, concluimos que se ha producido un cambio conceptual y que el término “éter” ha experimentado un cambio de significado. No obstante, mostramos que el nuevo éter retuvo algunas de las propiedades y funciones características del viejo éter electromagnético.
We find the minimal mathematical structure to represent quantum eigenstates with complex eigenvalues with no need of analytic continuation. These eigenvectors build doublets in non-Hilbert spaces. We construct exact solutions for the Friedrichs model that continuously join the ones of the free Hamiltonian. We extend the Wigner operator to these non-Hilbert spaces and enlarge the concept of normalized vectors via the definition of the doublets. Making use of these doublets, we describe systems whose states have initial conditions out of Hilbert space.
We investigate the “elliptic interpretation” of space-time (identification of antipodal points or events) in anti-deSitter and in Rindler manifolds and its consequences for QFT. We compare and give a complete description of antipodal identification in space-times with and without event horizons. Antipodal identification relates the field theories on deSitter and on anti-deSitter spaces. In the “elliptic” Rindler manifold, imaginary time is periodic with period β/2 but the Green functions (for both identifications with and without “Conical singularity”) have period β. (Here β=2π/α, α is the acceleration.) Additional new properties for the Green functions are obtained and the new terms added to the stress tensor computed.
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