Two-colour QCD phases and the topology at low temperature and high density
Abstract We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential μ and a diquark source j incorporated. We systematically measure the diquark c...
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| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)181 |
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| author | Kei Iida Etsuko Itou Tong-Gyu Lee |
| author_facet | Kei Iida Etsuko Itou Tong-Gyu Lee |
| author_sort | Kei Iida |
| collection | DOAJ |
| description | Abstract We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential μ and a diquark source j incorporated. We systematically measure the diquark condensate, the Polyakov loop, the quark number density and the chiral condensate with improved accuracy and j → 0 extrapolation over earlier publications; the known qualitative features of the low temperature phase diagram, which is composed of the hadronic, Bose-Einstein condensed (BEC) and BCS phases, are reproduced. In addition, we newly find that around the boundary between the hadronic and BEC phases, nonzero quark number density occurs even in the hadronic phase in contrast to the prediction of the chiral perturbation theory (ChPT), while the diquark condensate approaches zero in a manner that is consistent with the ChPT prediction. At the highest μ, which is of order the inverse of the lattice spacing, all the above observables change drastically, which implies a lattice artifact. Finally, at temperature of order 0.45Tc, where Tc is the chiral transition temperature at zero chemical potential, the topological susceptibility is calculated from a gradient-flow method and found to be almost constant for all the values of μ ranging from the hadronic to BCS phase. This is a contrast to the case of 0.89Tc in which the topological susceptibility becomes small as the hadronic phase changes into the quark-gluon plasma phase. |
| format | Article |
| id | doaj-art-8bb11880685f414a89aed4e356d8018b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8bb11880685f414a89aed4e356d8018b2025-02-09T12:05:57ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020112110.1007/JHEP01(2020)181Two-colour QCD phases and the topology at low temperature and high densityKei Iida0Etsuko Itou1Tong-Gyu Lee2Department of Mathematics and Physics, Kochi UniversityDepartment of Mathematics and Physics, Kochi UniversityDepartment of Mathematics and Physics, Kochi UniversityAbstract We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential μ and a diquark source j incorporated. We systematically measure the diquark condensate, the Polyakov loop, the quark number density and the chiral condensate with improved accuracy and j → 0 extrapolation over earlier publications; the known qualitative features of the low temperature phase diagram, which is composed of the hadronic, Bose-Einstein condensed (BEC) and BCS phases, are reproduced. In addition, we newly find that around the boundary between the hadronic and BEC phases, nonzero quark number density occurs even in the hadronic phase in contrast to the prediction of the chiral perturbation theory (ChPT), while the diquark condensate approaches zero in a manner that is consistent with the ChPT prediction. At the highest μ, which is of order the inverse of the lattice spacing, all the above observables change drastically, which implies a lattice artifact. Finally, at temperature of order 0.45Tc, where Tc is the chiral transition temperature at zero chemical potential, the topological susceptibility is calculated from a gradient-flow method and found to be almost constant for all the values of μ ranging from the hadronic to BCS phase. This is a contrast to the case of 0.89Tc in which the topological susceptibility becomes small as the hadronic phase changes into the quark-gluon plasma phase.https://doi.org/10.1007/JHEP01(2020)181Lattice QCDPhase Diagram of QCD |
| spellingShingle | Kei Iida Etsuko Itou Tong-Gyu Lee Two-colour QCD phases and the topology at low temperature and high density Journal of High Energy Physics Lattice QCD Phase Diagram of QCD |
| title | Two-colour QCD phases and the topology at low temperature and high density |
| title_full | Two-colour QCD phases and the topology at low temperature and high density |
| title_fullStr | Two-colour QCD phases and the topology at low temperature and high density |
| title_full_unstemmed | Two-colour QCD phases and the topology at low temperature and high density |
| title_short | Two-colour QCD phases and the topology at low temperature and high density |
| title_sort | two colour qcd phases and the topology at low temperature and high density |
| topic | Lattice QCD Phase Diagram of QCD |
| url | https://doi.org/10.1007/JHEP01(2020)181 |
| work_keys_str_mv | AT keiiida twocolourqcdphasesandthetopologyatlowtemperatureandhighdensity AT etsukoitou twocolourqcdphasesandthetopologyatlowtemperatureandhighdensity AT tonggyulee twocolourqcdphasesandthetopologyatlowtemperatureandhighdensity |