Calculation of acceleration effects using the Zubarev density operator

Abstract

The relativistic form of the Zubarev density operator can be used to study quantum effects associated with acceleration of the medium. In particular, it was recently shown that the calculation of perturbative corrections in acceleration based on the Zubarev density operator makes it possible to show the existence of Unruh effect. In this paper, we present the details of the calculation of quantum correlators arising in the fourth order of the perturbation theory needed to demonstrate the Unruh effect. Expressions for the quantum corrections for massive fermions are also obtained.

14 pages

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• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field
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• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• Acceleration as a circular motion along an imaginary circle: Kubo-Martin-Schwinger condition for accelerating field theories in imaginary-time formalism
• Acceleration Radiation of Freely Falling Atoms: Nonlinear Electrodynamic Effects
• Generalized relativistic second-order dissipative hydrodynamics: coupling different rank tensors
• Quasinormal Mode Spectroscopy via Horizon-Brightened Quantum Optics
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Canonical Quantization of the U(1) Gauge Field in the Rindler Coordinates