Abstract

A relativistic Bose–Einstein condensate (BEC) is studied within the complex scalar field theory using the functional renormalization group (FRG) under the local potential approximation. We investigate fluctuation effects on the relativistic BEC through numerical analyses for various spatial dimensions and chemical potentials. Our numerical results are consistent with the Mermin–Wagner theorem, and this consistency is also analytically confirmed from the flow equation. We also discuss a numerical instability of the FRG in lower spatial dimensions, which is avoidable for certain parameter choices.

Details

Title
FRG analysis for a relativistic BEC in arbitrary spatial dimensions
Author
Terazaki, Fumio 1   VIAFID ORCID Logo  ; Mameda, Kazuya 1   VIAFID ORCID Logo 

1  Department of Physics, Tokyo University of Science , 1-3 Kagurazaka, Shinjukuku, Tokyo 162-8601, https://ror.org/05sj3n476 , Japan 
Publication year
2025
Publication date
Jul 2025
Publisher
Oxford University Press
e-ISSN
20503911
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1093/ptep/ptaf088
ProQuest document ID
3230629841
Copyright
© The Author(s) 2025. Published by Oxford University Press on behalf of the Physical Society of Japan. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.