Relativistic quantum fluid with boost invariance

Abstract

We study a relativistic fluid with longitudinal boost invariance in a quantum-statistical framework as an example of a solvable non-equilibrium problem. For the free quantum field, we calculate the exact form of the expectation values of the stress-energy tensor and the entropy current. For the stress-energy tensor, we find that a finite value can be obtained only by subtracting the vacuum of the density operator at some fixed proper time τ_0. As a consequence, the stress-energy tensor acquires non-trivial quantum corrections to the classical free-streaming form.

19 pages, 1 figure

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• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Entropy current in relativistic quantum statistical mechanics
• Scalar field with a time-independent classical source, not trivial after all: from vacuum decay to scattering
• Quantum statistical fluctuation of energy and its novel pseudo-gauge dependence