Lattice study on finite density QC2D towards zero temperature
Abstract We investigate the phase structure and the equation of state (EoS) for dense two-color QCD (QC2D) at low temperature (T = 40 MeV, 324 lattice) for the purpose of extending our previous works [1, 2] at T = 80 MeV (164 lattice). Indeed, a rich phase structure below the pseudo-critical tempera...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)022 |
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| author | Kei Iida Etsuko Itou Kotaro Murakami Daiki Suenaga |
| author_facet | Kei Iida Etsuko Itou Kotaro Murakami Daiki Suenaga |
| author_sort | Kei Iida |
| collection | DOAJ |
| description | Abstract We investigate the phase structure and the equation of state (EoS) for dense two-color QCD (QC2D) at low temperature (T = 40 MeV, 324 lattice) for the purpose of extending our previous works [1, 2] at T = 80 MeV (164 lattice). Indeed, a rich phase structure below the pseudo-critical temperature T c as a function of quark chemical potential μ has been revealed, but finite volume effects in a high-density regime sometimes cause a wrong understanding. Therefore, it is important to investigate the temperature dependence down to zero temperature with large-volume simulations. By performing 324 simulations, we obtain essentially similar results to the previous ones, but we are now allowed to get a fine understanding of the phase structure via the temperature dependence. Most importantly, we find that the hadronic-matter phase, which is composed of thermally excited hadrons, shrinks with decreasing temperature and that the diquark condensate scales as ⟨qq⟩ ∝ μ 2 in the BCS phase, a property missing at T = 80 MeV. From careful analyses, furthermore, we confirm a tentative conclusion that the topological susceptibility is independent of μ. We also show the temperature dependence of the pressure, internal energy, and sound velocity as a function of μ. The pressure increases around the hadronic-superfluid phase transition more rapidly at the lower temperature, while the temperature dependence of the sound velocity is invisible. Breaking of the conformal bound is also confirmed thanks to the smaller statistical error. |
| format | Article |
| id | doaj-art-8cd674f3fd424a9ebba49a07981b2e0a |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8cd674f3fd424a9ebba49a07981b2e0a2025-08-20T02:20:37ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241012910.1007/JHEP10(2024)022Lattice study on finite density QC2D towards zero temperatureKei Iida0Etsuko Itou1Kotaro Murakami2Daiki Suenaga3Department of Mathematics and Physics, Kochi UniversityYukawa Institute for Theoretical Physics, Kyoto UniversityInterdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS), RIKENKobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya UniversityAbstract We investigate the phase structure and the equation of state (EoS) for dense two-color QCD (QC2D) at low temperature (T = 40 MeV, 324 lattice) for the purpose of extending our previous works [1, 2] at T = 80 MeV (164 lattice). Indeed, a rich phase structure below the pseudo-critical temperature T c as a function of quark chemical potential μ has been revealed, but finite volume effects in a high-density regime sometimes cause a wrong understanding. Therefore, it is important to investigate the temperature dependence down to zero temperature with large-volume simulations. By performing 324 simulations, we obtain essentially similar results to the previous ones, but we are now allowed to get a fine understanding of the phase structure via the temperature dependence. Most importantly, we find that the hadronic-matter phase, which is composed of thermally excited hadrons, shrinks with decreasing temperature and that the diquark condensate scales as ⟨qq⟩ ∝ μ 2 in the BCS phase, a property missing at T = 80 MeV. From careful analyses, furthermore, we confirm a tentative conclusion that the topological susceptibility is independent of μ. We also show the temperature dependence of the pressure, internal energy, and sound velocity as a function of μ. The pressure increases around the hadronic-superfluid phase transition more rapidly at the lower temperature, while the temperature dependence of the sound velocity is invisible. Breaking of the conformal bound is also confirmed thanks to the smaller statistical error.https://doi.org/10.1007/JHEP10(2024)022Non-Zero Temperature and DensityOther Lattice Field TheoriesPhase Transitions |
| spellingShingle | Kei Iida Etsuko Itou Kotaro Murakami Daiki Suenaga Lattice study on finite density QC2D towards zero temperature Journal of High Energy Physics Non-Zero Temperature and Density Other Lattice Field Theories Phase Transitions |
| title | Lattice study on finite density QC2D towards zero temperature |
| title_full | Lattice study on finite density QC2D towards zero temperature |
| title_fullStr | Lattice study on finite density QC2D towards zero temperature |
| title_full_unstemmed | Lattice study on finite density QC2D towards zero temperature |
| title_short | Lattice study on finite density QC2D towards zero temperature |
| title_sort | lattice study on finite density qc2d towards zero temperature |
| topic | Non-Zero Temperature and Density Other Lattice Field Theories Phase Transitions |
| url | https://doi.org/10.1007/JHEP10(2024)022 |
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