Corrections to the black body radiation due to minimum-length deformed quantum mechanics

Details Corrections to the black body radiation due to minimum-length deformed quantum mechanics Corrections to the black body radiation due to minimum-length deformed quantum mechanics

2009-11-06

arxiv.org/abs/0911.1197v2

Physics Letters B 705 (2011) 521

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Paper has been substantially revised - version to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2011.10.049

Planck spectrum of black body radiation is usually derived by considering of quantized free electromagnetic field at a finite temperature. The minimum-length deformed quantization affects field theory both at the first and second quantization levels. Performing an exact calculation to the first order in deformation parameter, both of the corrections turn out to be of the same order. Nevertheless, the correction at the second quantization level has some qualitative difference, that may be interesting for future study to differentiate between these two sorts of corrections. In itself the correction to the black body radiation seems to be innocuous in light of the big-bang nucleosynthesis whenever the minimum length is less or equal to $10^{-19}$cm.

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