On Quantum Field Theories in Operator and Functional Integral Formalisms

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dc.creatorTeleki, Aba
dc.creatorNoga, Milan
dc.date2006-01-19
dc.date.accessioned2026-07-07T06:58:19Z
dc.date.available2026-07-07T06:58:19Z
dc.descriptionRelations and isomorphisms between quantum field theories in operator and functional integral formalisms are analyzed from the viewpoint of inequivalent representations of commutator or anticommutator rings of field operators. A functional integral in quantum field theory cannot be regarded as a Newton-Lebesgue integral but rather as a formal object to which one associates distinct numerical values for different processes of its integration. By choosing an appropriate method for the integration of a given functional integral, one can select a single representation out of infinitely many inequivalent representations for an operator whose trace is expressed by the corresponding functional integral. These properties are demonstrated with two exactly solvable examples.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0601136
dc.identifierhttp://arxiv.org/abs/hep-th/0601136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107312
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleOn Quantum Field Theories in Operator and Functional Integral Formalisms
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