Topological susceptibility and fourth cumulant in a uniform magnetic field
We study the topological susceptibility and fourth cumulant of the QCD vacuum in a background magnetic field (H) using three-flavor chiral perturbation theory (χPT) for arbitrary quark masses and n-flavor χPT with degenerate quark masses. We find that the enhancement by the magnetic field of the top...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-09-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322002048 |
| _version_ | 1811222353253761024 |
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| author | Prabal Adhikari |
| author_facet | Prabal Adhikari |
| author_sort | Prabal Adhikari |
| collection | DOAJ |
| description | We study the topological susceptibility and fourth cumulant of the QCD vacuum in a background magnetic field (H) using three-flavor chiral perturbation theory (χPT) for arbitrary quark masses and n-flavor χPT with degenerate quark masses. We find that the enhancement by the magnetic field of the topological susceptibility relative to the H=0 vacuum value is larger in the three-flavor χPT compared to two-flavor χPT. Additionally, in comparing the fourth cumulant, we find that its suppression is comparable for magnetic fields, eH≲0.8mπ2, and weaker for larger magnetic fields in three-flavor χPT with its enhancement beginning at a significantly lower critical magnetic field compared to two-flavor χPT. We also find that the enhancement of the topological susceptibility in n-flavor χPT with degenerate quarks is significantly larger and the suppression of the topological cumulant significantly greater at weak fields with the critical magnetic field pushed out to larger magnetic fields compared to both two and three-flavor χPT. |
| first_indexed | 2024-04-12T08:15:36Z |
| format | Article |
| id | doaj.art-6f7b49b0de124d2a96f56cce081a1efe |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-12T08:15:36Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-6f7b49b0de124d2a96f56cce081a1efe2022-12-22T03:40:49ZengElsevierNuclear Physics B0550-32132022-09-01982115853Topological susceptibility and fourth cumulant in a uniform magnetic fieldPrabal Adhikari0Physics Department, Faculty of Natural Sciences and Mathematics, St. Olaf College, 1520 St. Olaf Avenue, Northfield, MN 55057, United StatesWe study the topological susceptibility and fourth cumulant of the QCD vacuum in a background magnetic field (H) using three-flavor chiral perturbation theory (χPT) for arbitrary quark masses and n-flavor χPT with degenerate quark masses. We find that the enhancement by the magnetic field of the topological susceptibility relative to the H=0 vacuum value is larger in the three-flavor χPT compared to two-flavor χPT. Additionally, in comparing the fourth cumulant, we find that its suppression is comparable for magnetic fields, eH≲0.8mπ2, and weaker for larger magnetic fields in three-flavor χPT with its enhancement beginning at a significantly lower critical magnetic field compared to two-flavor χPT. We also find that the enhancement of the topological susceptibility in n-flavor χPT with degenerate quarks is significantly larger and the suppression of the topological cumulant significantly greater at weak fields with the critical magnetic field pushed out to larger magnetic fields compared to both two and three-flavor χPT.http://www.sciencedirect.com/science/article/pii/S0550321322002048 |
| spellingShingle | Prabal Adhikari Topological susceptibility and fourth cumulant in a uniform magnetic field Nuclear Physics B |
| title | Topological susceptibility and fourth cumulant in a uniform magnetic field |
| title_full | Topological susceptibility and fourth cumulant in a uniform magnetic field |
| title_fullStr | Topological susceptibility and fourth cumulant in a uniform magnetic field |
| title_full_unstemmed | Topological susceptibility and fourth cumulant in a uniform magnetic field |
| title_short | Topological susceptibility and fourth cumulant in a uniform magnetic field |
| title_sort | topological susceptibility and fourth cumulant in a uniform magnetic field |
| url | http://www.sciencedirect.com/science/article/pii/S0550321322002048 |
| work_keys_str_mv | AT prabaladhikari topologicalsusceptibilityandfourthcumulantinauniformmagneticfield |