Quantum statistics in a Robertson-Walker universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Cosmology, Quantum Statistics, Universe, Harmonic Oscillators, Minkowski Space, Nonequilibrium Conditions, Particle Flux Density, Scalars, Stefan-Boltzmann Law

Scientific paper

The application of finite-temperature quantum field theory to a nonequilibrium situation where a harmonic oscillator interacts with a heat bath made of scalar, massless zero-test particles in a Robertson-Walker background, is discussed. The expected value of the energy density (vacuum terms discarded) at some initial time t equal to zero is examined and then compared with the Stefan-Boltzmann law. Using the same argument for an abritrary t, it is determined that the energy density is equal to that of blackbody radiation in accordance with standard red-shift arguments.

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