Classical-quantum correspondence for fields

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 2N2 classical simple harmonic oscillators with specific initial conditions. We discuss how this classical-quant...

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Bibliographic Details
Published inJournal of cosmology and astroparticle physics Vol. 2019; no. 9; p. 15
Main Authors Vachaspati, Tanmay, Zahariade, George
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 04.09.2019
Institute of Physics (IOP)
Subjects
astronomy & astrophysics
ASTRONOMY AND ASTROPHYSICS
Boson fields
Breathers
Evaporation
Harmonic oscillators
Initial conditions
Oscillons
physics
Quantum theory
Radiation
Time dependence
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Summary: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 2N2 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”).
Bibliography:SC0019470; 60253
John Templeton Foundation
USDOE Office of Science (SC), High Energy Physics (HEP)
ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2019/09/015