Inductive Construction of the Loop Transform for Abelian Gauge Theories

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dc.creatorAbbati, Maria Cristina
dc.creatorMania`, Alessandro
dc.creatorProvenzi, Edoardo
dc.date2001-05-28
dc.date.accessioned2026-07-07T04:28:29Z
dc.date.available2026-07-07T04:28:29Z
dc.descriptionWe construct the loop transform in the case of Abelian gauge theories as unitary operator given by the inductive limit of Fourier transforms on tori. We also show that its range, i.e.the space of kinematical states of the quantum loop representation, is the Hilbert space of square integrable complex valued functions on the group of loops.
dc.descriptionto appear in Letters in Mathematical Physics
dc.identifierhttps://arxiv.org/abs/math-ph/0105041
dc.identifierhttp://arxiv.org/abs/math-ph/0105041
dc.identifierLett.Math.Phys. 57 (2001) 69-81
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56804
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject22E67, 81T13
dc.titleInductive Construction of the Loop Transform for Abelian Gauge Theories
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