Quantum fields and quantum groups

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dc.creatorBrouder, Christian
dc.creatorOeckl, Robert
dc.date2002-06-05
dc.date2002-07-03
dc.date.accessioned2026-07-07T03:47:13Z
dc.date.available2026-07-07T03:47:13Z
dc.descriptionQuantum fields are shown to provide an example of infinite-dimensional quantum groups. A dictionary is established between quantum field and quantum group concepts: the expectation value over the vacuum is the counit, Wick's theorem is the definition of a twisted product, operator and time-ordered products are examples of twisted products. Through this dictionary, coquasitriangular structures are introduced in quantum field theory. These structures are the origin of Wick's theorem and quasifree states. Renormalization becomes the replacement of a coquasitriangular structure by a 2-coboundary. Quantum groups provide a second quantization without commutators which can second-quantize noncommutative algebras.
dc.description4 pages, no figure
dc.identifierhttps://arxiv.org/abs/hep-ph/0206054
dc.identifierhttp://arxiv.org/abs/hep-ph/0206054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/41583
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleQuantum fields and quantum groups
dc.typetext

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