Real scalar field, the nonrelativistic limit, and the cosmological expansion
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 differ...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
31 August 2020
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| In: |
Physical review
Year: 2020, Volume: 102, Issue: 3 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.102.036024 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.102.036024 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.102.036024 
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| Author Notes: | Lars H. Heyen and Stefan Floerchinger |
| Summary: | 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. |
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| Item Description: | Gesehen am 24.09.2020 |
| Physical Description: | Online Resource |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.102.036024 |