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Abstract: Quantum field theories QFT-s on noncommutative spacetimes are currentlyunder intensive study. Usually such theories have world sheet noncommutativity.In the present work, instead, we study QFT-s with commutative world sheet andnoncommutative target space. Such noncommutativity can be interpreted in termsof twisted statistics and is related to earlier work of Oeckl 1, and others2,3,4,5,6,7,8. The twisted spectra of their free Hamiltonians has been foundearlier by Carmona et al 9,10. We review their derivation and then computethe partition function of one such typical theory. It leads to a deformed blackbody spectrum, which is analysed in detail. The difference between the usualand the deformed black body spectrum appears in the region of high frequencies.Therefore we expect that the deformed black body radiation may potentially beused to compute a GZK cut-off which will depend on the noncommutative parameter$\theta$.

Author: A. P. Balachandran, A. R. Queiroz, A. M. Marques, P. Teotonio-Sobrinho

Source: https://arxiv.org/

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