Calculation of Acceleration Effects Using the Zubarev Density Operator
Georgy Prokhorov, Oleg Teryaev, Valentin Zakharov
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 the 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.
Topics & Concepts
Unruh effectPhysicsOperator (biology)AccelerationPerturbation (astronomy)QuantumFermionPerturbation theory (quantum mechanics)Quantum electrodynamicsQuantum mechanicsQuantum systemOrder (exchange)Quantum field theoryClassical mechanicsObservableQuantum fluctuationMathematical physicsLadder operatorQuantum and Classical ElectrodynamicsQuantum Mechanics and Non-Hermitian PhysicsAlgebraic and Geometric Analysis