Unexciting classical backgrounds

Tanmay Vachaspati (Physics Department, Arizona State University, Tempe, Arizona 85287, USA)

Quantum fields in time-dependent backgrounds generally lead to particle production. Here we consider “unexciting” backgrounds for which the net particle production vanishes. We start by considering the simple harmonic oscillator and explicitly construct all unexciting time-dependent frequencies. This allows us to construct homogeneous backgrounds in field theory for which there is no particle production in any given mode, though we are able to show that there are no homogeneous backgrounds for which the particle production vanishes in every mode. We then construct general inhomogeneous unexciting field theory backgrounds. The set of all unexciting field theory backgrounds will be further restricted by the choice of physical interactions and this leads to an interesting open problem.

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      "value": "Quantum fields in time-dependent backgrounds generally lead to particle production. Here we consider \u201cunexciting\u201d backgrounds for which the net particle production vanishes. We start by considering the simple harmonic oscillator and explicitly construct all unexciting time-dependent frequencies. This allows us to construct homogeneous backgrounds in field theory for which there is no particle production in any given mode, though we are able to show that there are no homogeneous backgrounds for which the particle production vanishes in every mode. We then construct general inhomogeneous unexciting field theory backgrounds. The set of all unexciting field theory backgrounds will be further restricted by the choice of physical interactions and this leads to an interesting open problem."
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Published on:
08 March 2022
Publisher:
APS
Published in:
Physical Review D , Volume 105 (2022)
Issue 5
DOI:
https://doi.org/10.1103/PhysRevD.105.056008
arXiv:
2201.02196
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: