Alternative dimensional reduction via the density matrix: A test

Physics – High Energy Physics – High Energy Physics - Theory

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7 pages. Published in the Proceedings of the XXIII Brazilian National Meeting on Particles and Fields (October 15-19, Aguas de

Scientific paper

We derive and analyze the perturbation series for the classical effective
action in quantum statistical mechanics, treated as a toy model for the
dimensionally reduced effective action in quantum field theory at finite
temperature. The first few terms of the series are computed for the harmonic
oscillator and the quartic potential.

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