Classical-Quantum Correspondence for Fields

Abstract

We map the quantum problem of a free bosonic field in a space-time dependent background into a classical problem. $N$ degrees of freedom of a real field in the quantum theory are mapped into $2N^2$ classical simple harmonic oscillators with specific initial conditions. We discuss how this classical-quantum correspondence (CQC) may be used to evaluate quantum radiation and fully treat the backreaction of quantum fields on classical backgrounds. The technique has widespread application, including to the quantum evaporation of classical breathers ("oscillons").

13 pages. Published version

References in corpus (4)

• A Classical-Quantum Correspondence and Backreaction
• Semiclassical decay of topological defects
• Quantum Evaporation of Classical Breathers
• Classical-Quantum Correspondence and Hawking Radiation

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