Noncommutativity and theta-locality

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dc.creatorSoloviev, Michael A.
dc.date2007-08-08
dc.date2008-02-07
dc.date.accessioned2026-07-07T10:57:03Z
dc.date.available2026-07-07T10:57:03Z
dc.descriptionIn this paper, we introduce the condition of theta-locality which can be used as a substitute for microcausality in quantum field theory on noncommutative spacetime. This condition is closely related to the asymptotic commutativity which was previously used in nonlocal QFT. Heuristically, it means that the commutator of observables behaves at large spacelike separation like $\exp(-|x-y|^2/θ)$, where $θ$ is the noncommutativity parameter. The rigorous formulation given in the paper implies averaging fields with suitable test functions. We define a test function space which most closely corresponds to the Moyal star product and prove that this space is a topological algebra under the star product. As an example, we consider the simplest normal ordered monomial $:ϕ\starϕ:$ and show that it obeys the theta-locality condition.
dc.descriptionLaTeX, 17 pages, no figures; minor changes to agree with published version
dc.identifierhttps://arxiv.org/abs/0708.1151
dc.identifierhttp://arxiv.org/abs/0708.1151
dc.identifierJ.Phys.A40:14593-14604,2007
dc.identifierdoi:10.1088/1751-8113/40/48/020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186624
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleNoncommutativity and theta-locality
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