States on timelike hypersurfaces in quantum field theory

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dc.creatorOeckl, Robert
dc.date2005-05-31
dc.date.accessioned2026-07-07T04:18:22Z
dc.date.available2026-07-07T04:18:22Z
dc.descriptionWe investigate the possibility of defining states on timelike hypersurfaces in quantum field theory. To this end we consider hyperplanes in the real massive Klein-Gordon theory using the Schroedinger representation. We find a well defined vacuum wave functional, existing on any hyperplane, with the remarkable property that it changes smoothly even under Euclidean rotation through the light-cone. Moreover, particles on timelike hyperplanes exist and occur in two variants, incoming and outgoing, distinguished by the sign of the energy. Multi-particle wave functionals take a form similar to those on spacelike hypersurfaces. The role of unitarity and the inner product is discussed.
dc.description4 pages, 2 figures, LaTeX + revtex4 + eepic
dc.identifierhttps://arxiv.org/abs/hep-th/0505267
dc.identifierhttp://arxiv.org/abs/hep-th/0505267
dc.identifierPhys.Lett. B622 (2005) 172-177
dc.identifierdoi:10.1016/j.physletb.2005.06.078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53149
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleStates on timelike hypersurfaces in quantum field theory
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