https://doi.org/10.1140/epjc/s10052-024-13167-w
Regular Article – Theoretical Physics
Effectively flat potential in the Friedberg–Lee–Sirlin model
1
Department of the Fundamental Interactions and Cosmology, Moscow Institute of Physics and Technology, Institutsky lane 9, 141700, Dolgoprudny, Moscow Region, Russian Federation
2
Theory Physics Department, Institute for Nuclear Research of RAS, prospekt 60-letiya Oktyabrya 7a, 117312, Moscow, Moscow Region, Russian Federation
Received:
12
March
2024
Accepted:
26
July
2024
Published online:
11
August
2024
The Friedberg–Lee–Sirlin (FLS) model is a well-known renormalizable theory of scalar fields that provides for the existence of non-topological solitons. Since this model was proposed, numerous works have been dedicated to studying its classical configurations and its general suitability for various physical problems in cosmology, quantum chromodynamics, etc. In this paper, we study how Q-balls in effective field theory (EFT) reproduce non-topological solitons in the full FLS theory. We obtain an analytical description of the simplified model and compare the results with numerical calculations and perturbation theory. We also study the condensation of charged bosons on the domain wall. A full numerical solution allows us to check the EFT methods for this problem. The latter analysis is based on the application of EFT methods to significantly inhomogeneous configurations. We give an interpretation of the results in terms of the shifted boson mass and the vacuum rearrangement.
Both authors have contributed equally to this article.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
