Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos

Abstract

Flavor mixing of quantum fields was found to be responsible for the breakdown of the thermal 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 sin θ and ∆m. As opposed to bosons, we find q > 1, 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.

Gravitational Effects on Neutrino Decoherence in the Lense–Thirring Metric

“…Further studies in Quantum Field Theory (QFT) have highlighted the shortcomings of the standard quantum mechanical (QM) predictions by pointing out the unitary inequivalence between the Fock spaces for definite flavor fields and definite mass fields [8][9][10]. Phenomenological implications of this inequivalence have been investigated in a variety of contexts, ranging from vacuum effects [11][12][13][14][15] to particle decays [16][17][18][19] and apparent violations of the weak equivalence principle [20].…”