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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2504.17668 |
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| _version_ | 1866916882913689600 |
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| author | Terazaki, Fumio Mameda, Kazuya |
| author_facet | Terazaki, Fumio Mameda, Kazuya |
| contents | 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 evadable for certain parameter choices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17668 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | FRG analysis for a relativistic BEC in arbitrary spatial dimensions Terazaki, Fumio Mameda, Kazuya High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Theory 81T16 (Primary), 81T28 (Secondary) G.1.8 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 evadable for certain parameter choices. |
| title | FRG analysis for a relativistic BEC in arbitrary spatial dimensions |
| topic | High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Theory 81T16 (Primary), 81T28 (Secondary) G.1.8 |
| url | https://arxiv.org/abs/2504.17668 |