## Testing the mean field theory of scalar field dark matter

Andrew Eberhardt, Alvaro Zamora, Michael Kopp, Tom Abel

SciPost Phys. Proc. 12, 058 (2023) · published 5 July 2023

- doi: 10.21468/SciPostPhysProc.12.058
- Submissions/Reports

### Proceedings event

14th International Conference on Identification of Dark Matter

### Abstract

Scalar field dark matter offers an interesting alternative to the traditional WIMP dark matter picture. Astrophysical and cosmological simulations are useful to constraining the mass of the dark matter particle in this model. This is particularly true at low mass where the wavelike nature of the dark matter particle manifests on astrophysical scales. These simulations typical use a classical field approximation. In this work, we look at extending these simulations to include quantum corrections. We look into both the ways in which large corrections impact the predictions of scalar field dark matter, and the timescales on which these corrections grow large. Corrections tend to lessen density fluctuations and increase the effect of "quantum pressure". During collapse, these corrections grow exponentially, quantum corrections would become important in about $\sim 30$ dynamical times. This implies that the predictions of classical field simulations may differ from those with quantum corrections for systems with short dynamical times.

### Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.-
^{1}^{2}^{3}Andrew Eberhardt, -
^{1}^{2}^{3}Alvaro Zamora, -
^{4}Michael Kopp, -
^{1}^{2}^{3}Tom Abel

^{1}Stanford University [SU]^{2}SLAC National Accelerator Laboratory [SLAC]^{3}Kavli Institute for Particle Astrophysics and Cosmology^{4}Stockholm University [Univ Stockholm]