States and Observables in Semiclassical Field Theory: a Manifestly Covariant Approach

dc.creatorShvedov, O. Yu.
dc.date2004-12-26
dc.date2005-01-09
dc.date.accessioned2026-07-07T04:17:53Z
dc.date.available2026-07-07T04:17:53Z
dc.descriptionA manifestly covariant formulation of quantum field Maslov complex-WKB theory (semiclassical field theory) is investigated for the case of scalar field. The main object of the theory is "semiclassical bundle". Its base is the set of all classical states, fibers are Hilbert spaces of quantum states in the external field. Semiclassical Maslov states may be viewed as points or surfaces on the semiclassical bundle. Semiclassical analogs of QFT axioms are formulated. A relationship between covariant semiclassical field theory and Hamiltonian formulation is discussed. The constructions of axiomatic field theory (Schwinger sources, Bogoliubov $S$-matrix, Lehmann-Symanzik-Zimmermann $R$-functions) are used in constructing the covariant semiclassical theory. A new covariant formulation of classical field theory and semiclassical quantization proposal are discussed.
dc.description20 pages, LaTeX, margins are corrected due to problems with viewing PostScript file
dc.identifierhttps://arxiv.org/abs/hep-th/0412301
dc.identifierhttp://arxiv.org/abs/hep-th/0412301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52949
dc.subjectHigh Energy Physics - Theory
dc.titleStates and Observables in Semiclassical Field Theory: a Manifestly Covariant Approach
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