Quantum physics as the projective representation theory of Noether symmetries

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dc.creatorLarsson, T. A.
dc.date1999-08-30
dc.date.accessioned2026-07-07T04:32:55Z
dc.date.available2026-07-07T04:32:55Z
dc.descriptionI construct lowest-energy representations of non-centrally extended algebras of Noether symmetries, including diffeomorphisms and reparametrizations of the observer's trajectory. This may be viewed as a new scheme for quantization. First classical physics is formulated as the cohomology of a certain Koszul-Tate (KT) complex, using not only fields and antifields but also their conjugate momenta. Then all fields are expanded in a Taylor series around the observer's present position, and terms of order higher than p are truncated. Finally, quantization is carried out by replacing Poisson brackets by commutators and imposing the KT cohomology in Fock space. This procedure is consistent for finite p, but the limit p\to\infty leads to difficulties.
dc.description46 pages, LaTex
dc.identifierhttps://arxiv.org/abs/math-ph/9908028
dc.identifierhttp://arxiv.org/abs/math-ph/9908028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58378
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum physics as the projective representation theory of Noether symmetries
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