Abstract
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 sin theta and Delta 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.
Highlights
The Unruh effect states that an observer moving through the inertial vacuum with uniform acceleration a (Rindler observer) perceives a thermal radiation at temperature [1]
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
We have shown above that such effect can be framed in the context of Tsallis statistics, with a modified distribution given by the q-generalized distribution (63) based on nonadditive Tsallis which will remain undetected under our hypothesis
Summary
The Unruh effect states that an observer moving through the inertial vacuum with uniform acceleration a (Rindler observer) perceives a thermal radiation at temperature [1]. In [30] it was shown that the vacuum density of mixed particles detected by the Rindler observer deviates from the pure Planckian spectrum, the correction being quantified by the mass difference and the mixing angle This feature can be ascribed to the peculiar nature of the vacuum for mixed fields (flavor vacuum), which appears as a condensate of entangled particle/antiparticle pairs due to the nontrivial structure of the mixing transformations at level of the ladder operators [32,33]. C (2021) 81:995 systems exhibiting long-range interactions and/or spacetime entanglement, as is the case for mixed fields [32,33,40,41] In this vein, in [34] it has been shown that the Unruh condensate for mixed particles can still be described as a thermal-like distribution, provided that the underlying statistics is assumed to obey Tsallis’s prescription.
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