Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913821844570112 |
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| author | Chiu, Ting-Wai |
| author_facet | Chiu, Ting-Wai |
| contents | We investigate the spatial $ z $-correlators of meson operators in $ N_f=2+1+1+1 $ lattice QCD with optimal domain-wall quarks across eight temperatures ranging from 325 to 3250 MeV. The meson operators include a complete set of Dirac bilinears for ten flavor combinations. Our findings reveal a hierarchical restoration of chiral symmetry in QCD with $ (u, d, s, c, b) $ quarks, progressing sequentially from $ SU(2)_L \times SU(2)_R \times U(1)_A $ to $ SU(3)_L \times SU(3)_R \times U(1)_A $, then to $ SU(4)_L \times SU(4)_R \times U(1)_A $, and finally to $ SU(5)_L \times SU(5)_R \times U(1)_A $ as the temperature increases. Additionally, we explore the emergence of the $ SU(2)_{CS} $ chiral-spin symmetry and compare the temperature windows for all flavor combinations. Our results indicate that the temperature windows for the emergent $SU(2)_{CS}$ symmetry are primarily dominated by the $ \bar{u} b $ and $ \bar{s} b $ sectors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16705 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks Chiu, Ting-Wai High Energy Physics - Lattice High Energy Physics - Phenomenology We investigate the spatial $ z $-correlators of meson operators in $ N_f=2+1+1+1 $ lattice QCD with optimal domain-wall quarks across eight temperatures ranging from 325 to 3250 MeV. The meson operators include a complete set of Dirac bilinears for ten flavor combinations. Our findings reveal a hierarchical restoration of chiral symmetry in QCD with $ (u, d, s, c, b) $ quarks, progressing sequentially from $ SU(2)_L \times SU(2)_R \times U(1)_A $ to $ SU(3)_L \times SU(3)_R \times U(1)_A $, then to $ SU(4)_L \times SU(4)_R \times U(1)_A $, and finally to $ SU(5)_L \times SU(5)_R \times U(1)_A $ as the temperature increases. Additionally, we explore the emergence of the $ SU(2)_{CS} $ chiral-spin symmetry and compare the temperature windows for all flavor combinations. Our results indicate that the temperature windows for the emergent $SU(2)_{CS}$ symmetry are primarily dominated by the $ \bar{u} b $ and $ \bar{s} b $ sectors. |
| title | Symmetries in high-temperature lattice QCD with (u, d, s, c, b) optimal domain-wall quarks |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2411.16705 |