Twisting all the way: from Classical Mechanics to Quantum Fields

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dc.creatorAschieri, Paolo
dc.creatorLizzi, Fedele
dc.creatorVitale, Patrizia
dc.date2007-08-22
dc.date2007-10-31
dc.date.accessioned2026-07-07T11:18:47Z
dc.date.available2026-07-07T11:18:47Z
dc.descriptionWe discuss the effects that a noncommutative geometry induced by a Drinfeld twist has on physical theories. We systematically deform all products and symmetries of the theory. We discuss noncommutative classical mechanics, in particular its deformed Poisson bracket and hence time evolution and symmetries. The twisting is then extended to classical fields, and then to the main interest of this work: quantum fields. This leads to a geometric formulation of quantization on noncommutative spacetime, i.e. we establish a noncommutative correspondence principle from *-Poisson brackets to *-commutators. In particular commutation relations among creation and annihilation operators are deduced.
dc.description32 pages. Added references and details in the introduction and in Section 5
dc.identifierhttps://arxiv.org/abs/0708.3002
dc.identifierhttp://arxiv.org/abs/0708.3002
dc.identifierPhys.Rev.D77:025037,2008
dc.identifierdoi:10.1103/PhysRevD.77.025037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193466
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.titleTwisting all the way: from Classical Mechanics to Quantum Fields
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