Self-interacting scalar fields at high-temperature
Abstract
We study two self-interacting scalar field theories in their high-temperature limit using path integrals on a lattice. We first discuss the formalism and recover known potentials to validate the method. We then discuss how these theories can model, in the high-temperature limit, the strong interaction and General Relativity. For the strong interaction, the model recovers the known phenomenology of the nearly static regime of heavy quarkonia. The model also exposes a possible origin for the emergence of the confinement scale from the approximately conformal Lagrangian. Aside from such possible insights, the main purpose of addressing the strong interaction here - given that more sophisticated approaches already exist - is mostly to further verify the pertinence of the model in the more complex case of General Relativity for which non-perturbative methods are not as developed. The results have important implications on the nature of Dark Matter. In particular, non-perturbative effects naturally provide flat rotation curves for disk galaxies, without need for non-baryonic matter, and explain as well other observations involving Dark Matter such as cluster dynamics or the dark mass of elliptical galaxies.
- Publication:
-
European Physical Journal C
- Pub Date:
- June 2017
- DOI:
- 10.1140/epjc/s10052-017-4971-x
- arXiv:
- arXiv:1611.05515
- Bibcode:
- 2017EPJC...77..412D
- Keywords:
-
- High Energy Physics - Phenomenology;
- Astrophysics - Astrophysics of Galaxies;
- General Relativity and Quantum Cosmology
- E-Print:
- 33 pages, 19 figures. Version published in Eur. Phys. J. C