Time-Space Noncommutativity: Quantised Evolutions

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dc.creatorBalachandran, A. P.
dc.creatorGovindarajan, T. R.
dc.creatorMartins, A. G.
dc.creatorTeotonio-Sobrinho, P.
dc.date2004-10-06
dc.date2005-01-17
dc.date.accessioned2026-07-07T10:50:21Z
dc.date.available2026-07-07T10:50:21Z
dc.descriptionIn previous work, we developed quantum physics on the Moyal plane with time-space noncommutativity, basing ourselves on the work of Doplicher et al.. Here we extend it to certain noncommutative versions of the cylinder, $\mathbb{R}^{3}$ and $\mathbb{R}\times S^{3}$. In all these models, only discrete time translations are possible, a result known before in the first two cases. One striking consequence of quantised time translations is that even though a time independent Hamiltonian is an observable, in scattering processes, it is conserved only modulo $\frac{2π}θ$, where $θ$ is the noncommutative parameter. (In contrast, on a one-dimensional periodic lattice of lattice spacing $a$ and length $L=Na$, only momentum mod $\frac{2π}{L}$ is observable (and can be conserved).) Suggestions for further study of this effect are made. Scattering theory is formulated and an approach to quantum field theory is outlined.
dc.description25 pages, LaTex; minor corrections, references corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0410067
dc.identifierhttp://arxiv.org/abs/hep-th/0410067
dc.identifierJHEP0411:068,2004
dc.identifierdoi:10.1088/1126-6708/2004/11/068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184506
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectQuantum Physics
dc.titleTime-Space Noncommutativity: Quantised Evolutions
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