Real scalar field, the nonrelativistic limit, and the cosmological expansion

• Verfasst von: Heyen, Lars H. [VerfasserIn]
• Verfasst von: Flörchinger, Stefan [VerfasserIn]
• Titel: Real scalar field, the nonrelativistic limit, and the cosmological expansion
• Verf.angabe: Lars H. Heyen and Stefan Floerchinger
• E-Jahr: 2020
• Jahr: 31 August 2020
• Umfang: 15 S.
• Fussnoten: Gesehen am 24.09.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Ridge, NY : American Physical Society, 2016
• Jahr Quelle: 2020
• Band/Heft Quelle: 102(2020,3) Artikel-Nummer 036024, 15 Seiten
• ISSN Quelle: 2470-0029
• DOI: doi:10.1103/PhysRevD.102.036024
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1733689737

Abstract

The existing transformation from a relativistic real scalar field to a complex nonrelativistic scalar field by Namjoo, Guth, and Kaiser is generalized from Minkowski space to a more general background metric. In that case the transformation is not purely algebraic any more but determined by a differential equation. We apply the generalized transformation to a real scalar with ϕ4 interaction on an Friedmann-Lemaître-Robertson-Walker cosmologically expanding background and calculate the resulting nonrelativistic action up to second order in small parameters. We also show that the transformation can be interpreted as a Bogoliubov transformation between relativistic and nonrelativistic creation and annihilation operators and comment on emerging symmetries in the nonrelativistic theory.