Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-31
Phys.Rev.D77:105032,2008
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 5 figures; Abstract changed. Changes and corrections in the text. References added
Scientific paper
10.1103/PhysRevD.77.105032
Quantum 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 $\theta$.
Balachandran Aiyalam P.
Marques A. M.
Queiroz Amilcar R.
Teotonio-Sobrinho Paulo
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