Abstract
It has been shown that boost modes of two-dimensional fermions on a light cone are expressed in terms of the Dirac delta function of a complex argument. Therefore, the decomposition of integrals over the entire range of the boost parameter into parts is inapplicable and the Unruh quantization is valid only in the double Rindler wedge, rather than in the entire Minkowski space. This means that the Unruh “effect” is absent for any statistics of particles. Thus, both the theoretical predictions and numerous proposals of experiments based on the assumption of the existence of this effect are unfounded.
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Original Russian Text © A.M. Fedotov, N.B. Narozhny, V.D. Mur, E.G. Gelfer, 2009, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 89, No. 8, pp. 449–453.
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Fedotov, A.M., Narozhny, N.B., Mur, V.D. et al. On the incompleteness of the Unruh fermion modes in the Minkowski space. Jetp Lett. 89, 385–389 (2009). https://doi.org/10.1134/S0021364009080025
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DOI: https://doi.org/10.1134/S0021364009080025