Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter
Abstract Massive scalar fields provide excellent dark matter candidates, whose dynamics are often explored analytically and numerically using nonrelativistic Schrödinger-Poisson (SP) equations in a cosmological context. In this paper, starting from the nonlinear and fully relativistic Klein-Gordon-E...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2021)050 |
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| author | Borna Salehian Hong-Yi Zhang Mustafa A. Amin David I. Kaiser Mohammad Hossein Namjoo |
| author_facet | Borna Salehian Hong-Yi Zhang Mustafa A. Amin David I. Kaiser Mohammad Hossein Namjoo |
| author_sort | Borna Salehian |
| collection | DOAJ |
| description | Abstract Massive scalar fields provide excellent dark matter candidates, whose dynamics are often explored analytically and numerically using nonrelativistic Schrödinger-Poisson (SP) equations in a cosmological context. In this paper, starting from the nonlinear and fully relativistic Klein-Gordon-Einstein (KGE) equations in an expanding universe, we provide a systematic framework for deriving the SP equations, as well as relativistic corrections to them, by integrating out ‘fast modes’ and including nonlinear metric and matter contributions. We provide explicit equations for the leading-order relativistic corrections, which provide insight into deviations from the SP equations as the system approaches the relativistic regime. Upon including the leading-order corrections, our equations are applicable beyond the domain of validity of the SP system, and are simpler to use than the full KGE case in some contexts. As a concrete application, we calculate the mass-radius relationship of solitons in scalar dark matter and accurately capture the deviations of this relationship from the SP system towards the KGE one. |
| first_indexed | 2024-12-22T08:41:15Z |
| format | Article |
| id | doaj.art-ad02440137bd4632a26839988a272829 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T08:41:15Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ad02440137bd4632a26839988a2728292022-12-21T18:32:13ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021913810.1007/JHEP09(2021)050Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matterBorna Salehian0Hong-Yi Zhang1Mustafa A. Amin2David I. Kaiser3Mohammad Hossein Namjoo4School of Astronomy, Institute for Research in Fundamental Sciences (IPM)Department of Physics and Astronomy, Rice UniversityDepartment of Physics and Astronomy, Rice UniversityDepartment of Physics, Massachusetts Institute of TechnologySchool of Astronomy, Institute for Research in Fundamental Sciences (IPM)Abstract Massive scalar fields provide excellent dark matter candidates, whose dynamics are often explored analytically and numerically using nonrelativistic Schrödinger-Poisson (SP) equations in a cosmological context. In this paper, starting from the nonlinear and fully relativistic Klein-Gordon-Einstein (KGE) equations in an expanding universe, we provide a systematic framework for deriving the SP equations, as well as relativistic corrections to them, by integrating out ‘fast modes’ and including nonlinear metric and matter contributions. We provide explicit equations for the leading-order relativistic corrections, which provide insight into deviations from the SP equations as the system approaches the relativistic regime. Upon including the leading-order corrections, our equations are applicable beyond the domain of validity of the SP system, and are simpler to use than the full KGE case in some contexts. As a concrete application, we calculate the mass-radius relationship of solitons in scalar dark matter and accurately capture the deviations of this relationship from the SP system towards the KGE one.https://doi.org/10.1007/JHEP09(2021)050Classical Theories of GravityCosmology of Theories beyond the SMEffective Field Theories |
| spellingShingle | Borna Salehian Hong-Yi Zhang Mustafa A. Amin David I. Kaiser Mohammad Hossein Namjoo Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter Journal of High Energy Physics Classical Theories of Gravity Cosmology of Theories beyond the SM Effective Field Theories |
| title | Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter |
| title_full | Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter |
| title_fullStr | Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter |
| title_full_unstemmed | Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter |
| title_short | Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter |
| title_sort | beyond schrodinger poisson nonrelativistic effective field theory for scalar dark matter |
| topic | Classical Theories of Gravity Cosmology of Theories beyond the SM Effective Field Theories |
| url | https://doi.org/10.1007/JHEP09(2021)050 |
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