Q -generalized Tsallis thermostatistics in Unruh effect for mixed fields

Giuseppe Gaetano Luciano,Massimo Blasone

doi:10.1103/physrevd.104.045004

Giuseppe Gaetano Luciano, Massimo Blasone

Open Access

https://doi.org/10.1103/physrevd.104.045004

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Abstract

It was shown that the particle distribution detected by a uniformly accelerated observer in the inertial vacuum (Unruh effect) deviates from the pure Planckian spectrum when considering the superposition of fields with different masses. Here we elaborate on the statistical origin of this phenomenon. In a suitable regime, we provide an effective description of the emergent distribution in terms of the nonextensive q-generalized statistics based on Tsallis entropy. This picture allows us to establish a nontrivial relation between the q-entropic index and the characteristic mixing parameters sin{\theta} and \Delta m. In particular, we infer that q < 1, indicating the superadditive feature of Tsallis entropy in this framework. We discuss our result in connection with the entangled condensate structure acquired by the quantum vacuum for mixed fields.

Highlights

The phenomenon of quantum mixing, i.e., the superposition of particle states with different masses, is among the most challenging topics in particle physics
It was shown that the particle distribution detected by a uniformly accelerated observer in the inertial vacuum (Unruh effect) deviates from the pure Planckian spectrum when considering the superposition of fields with different masses
We provide an effective description of the emergent distribution in terms of the nonextensive q-generalized statistics based on Tsallis entropy

Summary

INTRODUCTION

The phenomenon of quantum mixing, i.e., the superposition of particle states with different masses, is among the most challenging topics in particle physics. In [9,10], it has been found that the vacuum condensate detected by the Rindler observer due to Unruh effect [12] deviates from the Planckian density profile in the presence of mixed fields, the departure being dependent on the mass difference and the mixing angle. II, we analyze the canonical quantization of a massive scalar field for the Rindler observer using the Bogoliubov transformation method This leads us to derive the Unruh effect in a natural way. We use the notation, x 1⁄4 ft; xg; x 1⁄4 fx; x⃗ g; x⃗ 1⁄4 fx; x3g; for four-, three-, and two-vectors, respectively

QFT IN RINDLER SPACETIME AND UNRUH EFFECT

QFT OF FLAVOR MIXING IN RINDLER SPACETIME

FLAVOR MIXING AND q-GENERALIZED TSALLIS STATISTICS

CONCLUSIONS AND OUTLOOK