Regular Article - Theoretical Physics
Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
Dipartimento di Fisica, Università di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
2 INFN, Sezione di Napoli, Gruppo collegato di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
Accepted: 29 October 2021
Published online: 12 November 2021
Flavor mixing of quantum fields was found to be responsible for the breakdown of the thermality of Unruh effect. Recently, this result was revisited in the context of nonextensive Tsallis thermostatistics, showing that the emergent vacuum condensate can still be featured as a thermal-like bath, provided that the underlying statistics is assumed to obey Tsallis prescription. This was analyzed explicitly for bosons. Here we extend this study to Dirac fermions and in particular to neutrinos. Working in the relativistic approximation, we provide an effective description of the modified Unruh spectrum in terms of the q-generalized Tsallis statistics, the q-entropic index being dependent on the mixing parameters and . As opposed to bosons, we find , which is indicative of the subadditivity regime of Tsallis entropy. An intuitive understanding of this result is discussed in relation to the nontrivial entangled structure exhibited by the quantum vacuum for mixed fields, combined with the Pauli exclusion principle.
© The Author(s) 2021
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