Quantum Fields with Noncommutative Target Spaces

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dc.creatorBalachandran, A. P.
dc.creatorQueiroz, A. R.
dc.creatorMarques, A. M.
dc.creatorTeotonio-Sobrinho, P.
dc.date2007-05-31
dc.date2007-10-17
dc.date.accessioned2026-07-07T11:41:14Z
dc.date.available2026-07-07T11:41:14Z
dc.descriptionQuantum field theories (QFT's) on noncommutative spacetimes are currently under intensive study. Usually such theories have world sheet noncommutativity. In the present work, instead, we study QFT's with commutative world sheet and noncommutative target space. Such noncommutativity can be interpreted in terms of twisted statistics and is related to earlier work of Oeckl [1], and others [2,3,4,5,6,7,8]. The twisted spectra of their free Hamiltonians has been found earlier by Carmona et al [9,10]. We review their derivation and then compute the partition function of one such typical theory. It leads to a deformed black body spectrum, which is analysed in detail. The difference between the usual and the deformed black body spectrum appears in the region of high frequencies. Therefore we expect that the deformed black body radiation may potentially be used to compute a GZK cut-off which will depend on the noncommutative parameter $θ$.
dc.description20 pages, 5 figures; Abstract changed. Changes and corrections in the text. References added
dc.identifierhttps://arxiv.org/abs/0706.0021
dc.identifierhttp://arxiv.org/abs/0706.0021
dc.identifierPhys.Rev.D77:105032,2008
dc.identifierdoi:10.1103/PhysRevD.77.105032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200461
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectQuantum Algebra
dc.titleQuantum Fields with Noncommutative Target Spaces
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