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-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.
- Authors:
-
[1];
[2];
[3];
[1]
- Institute for Research in Fundamental Sciences (IPM), Tehran (Iran). School of Astronomy
- Rice Univ., Houston, TX (United States). Dept. of Physics and Astronomy
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Aeronautics and Space Administration (NASA)
- OSTI Identifier:
- 1851677
- Grant/Contract Number:
- SC0012567; 80NSSC20K0518
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 9; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; classical theories of gravity; cosmology of theories beyond the SM; effective field theories
Citation Formats
Salehian, Borna, Zhang, Hong-Yi, Amin, Mustafa A., Kaiser, David I., and Namjoo, Mohammad Hossein. Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter. United States: N. p., 2021.
Web. doi:10.1007/jhep09(2021)050.
Salehian, Borna, Zhang, Hong-Yi, Amin, Mustafa A., Kaiser, David I., & Namjoo, Mohammad Hossein. Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter. United States. https://doi.org/10.1007/jhep09(2021)050
Salehian, Borna, Zhang, Hong-Yi, Amin, Mustafa A., Kaiser, David I., and Namjoo, Mohammad Hossein. Thu .
"Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter". United States. https://doi.org/10.1007/jhep09(2021)050. https://www.osti.gov/servlets/purl/1851677.
@article{osti_1851677,
title = {Beyond Schrödinger-Poisson: nonrelativistic effective field theory for scalar dark matter},
author = {Salehian, Borna and Zhang, Hong-Yi and Amin, Mustafa A. and Kaiser, David I. and Namjoo, Mohammad Hossein},
abstractNote = {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.},
doi = {10.1007/jhep09(2021)050},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2021,
place = {United States},
year = {Thu Sep 09 00:00:00 EDT 2021},
month = {Thu Sep 09 00:00:00 EDT 2021}
}
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