Lattice simulations in Rindler spacetime show that acceleration turns the confinement-deconfinement transition in gluodynamics into a spatial crossover that approximately follows the Tolman-Ehrenfest law, while the critical temperature stays unchanged.
Thermodynamic equilibrium with acceleration and the Unruh effect
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abstract
We address the problem of thermodynamic equilibrium with constant acceleration along the velocity field lines in a quantum relativistic statistical mechanics framework. We show that for a free scalar quantum field, after vacuum subtraction, all mean values vanish when the local temperature T is as low as the Unruh temperature T_U = A/2\pi where A is the magnitude of the acceleration four-vector. We argue that the Unruh temperature is an absolute lower bound for the temperature of any accelerated fluid at global thermodynamic equilibrium. We discuss the conditions of this bound to be applicable in a local thermodynamic equilibrium situation.
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The analytic part of the stress-energy tensor at thermodynamic equilibrium has a universal covariant form independent of specific curved spacetime geometry for the massless scalar field, argued to hold for any quantum field theory.
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Spatial confinement-deconfinement transition in accelerated gluodynamics within lattice simulation
Lattice simulations in Rindler spacetime show that acceleration turns the confinement-deconfinement transition in gluodynamics into a spatial crossover that approximately follows the Tolman-Ehrenfest law, while the critical temperature stays unchanged.
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Universal analytic dependence of the stress-energy tensor at thermodynamic equilibrium in curved space-time
The analytic part of the stress-energy tensor at thermodynamic equilibrium has a universal covariant form independent of specific curved spacetime geometry for the massless scalar field, argued to hold for any quantum field theory.