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Classical Fields Near Thermal Equilibrium

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arxiv hep-th/9605048 v2 pith:OV2PZVKR submitted 1996-05-07 hep-th hep-phnucl-th

classification hep-thhep-phnucl-th
keywords modesclassicaldissipationequilibriumfieldfieldsquantumsoft
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We discuss the classical limit for the long-distance (``soft'') modes of a quantum field when the hard modes of the field are in thermal equilibrium. We address the question of the correct semiclassical dynamics when a momentum cut-off is introduced. Higher order contributions leads to a stochastic interpretation for the effective action in analogy to Quantum Brownian Motion, resulting in dissipation and decoherence for the evolution of the soft modes. Particular emphasis is put on the understanding of dissipation. Our discussion focuses mostly on scalar fields, but we make some remarks on the extension to gauge theories.

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  1. Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles

    hep-th 2019-09 conditional novelty 5.0 of 10

    A generalized-thimble evaluation of the closed-time path integral reproduces Schrödinger-equation tunnelling dynamics in a double well, while the classical-statistical approximation deviates.

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