On the classical hydrodynamic limit of quantum field theories

1999/05/05 by A. M. Lisewski, Andreas Martin Lisewski, Lisewski, A. M.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Quantum Physics (quant-ph) #Theoretical and Computational Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9905014

minor changes, 9 pages, no figures, uses revtex

openalex publication_date 1999/05/05 · arxiv created 1999/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the transition from a quantum to a classical domain for a model where a separation into environment and system is explicitely not given. Utilizing the coarse graining procedure for free quantum fields we also apply the projection method and the Hamiltonian principle to study possible cases of emergent classicality. General conditions for classical dynamics are given. Eventually, they lead to the equations of motion for a perfect classical fluid.

Related

• Classicality via hydrodynamics in quantum field theory
• A quantum field theory as emergent description of constrained supersymmetric classical dynamics
• The Emergence of Hydrodynamic Equations from Quantum Theory: A Decoherent Histories Analysis
• Classical from Quantum
• Quasi-Classical Dynamics