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| Natura: | Preprint |
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2024
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| Accesso online: | https://arxiv.org/abs/2409.04361 |
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| _version_ | 1866917866709712896 |
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| author | Terazaki, Fumio Mameda, Kazuya Suzuki, Katsuhiko |
| author_facet | Terazaki, Fumio Mameda, Kazuya Suzuki, Katsuhiko |
| contents | Based on the functional renormalization group (FRG) under the local potential approximation, we analyze the Bose-Einstein condensation (BEC) in the relativistic complex scalar theory. This framework leads to a complex flow equation of the effective potential, even with the well-known Litim regulator. In order to evaluate the condensate from such a complex effective potential, we impose a condition between chemical potential and mass, analogously to those in the free theory or the mean field theory. We elucidate that for the strongly (weakly) coupled theory, the phase diagrams computed from the FRG are more (less) deviated from that under the mean field approximation. This result implies that quantum fluctuations strongly affect the nonperturbative formation of the BEC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relativistic BEC extracted from a complex FRG flow equation Terazaki, Fumio Mameda, Kazuya Suzuki, Katsuhiko High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Theory 81T16 (Primary), 81T28 (Secondary) G.1.1; G.1.8 Based on the functional renormalization group (FRG) under the local potential approximation, we analyze the Bose-Einstein condensation (BEC) in the relativistic complex scalar theory. This framework leads to a complex flow equation of the effective potential, even with the well-known Litim regulator. In order to evaluate the condensate from such a complex effective potential, we impose a condition between chemical potential and mass, analogously to those in the free theory or the mean field theory. We elucidate that for the strongly (weakly) coupled theory, the phase diagrams computed from the FRG are more (less) deviated from that under the mean field approximation. This result implies that quantum fluctuations strongly affect the nonperturbative formation of the BEC. |
| title | Relativistic BEC extracted from a complex FRG flow equation |
| topic | High Energy Physics - Phenomenology Quantum Gases High Energy Physics - Theory 81T16 (Primary), 81T28 (Secondary) G.1.1; G.1.8 |
| url | https://arxiv.org/abs/2409.04361 |