Vacuum free energy, quark condensate shifts and magnetization in three-flavor chiral perturbation theory to O(p6) in a uniform magnetic field
We study three-flavor QCD in a uniform magnetic field using chiral perturbation theory (χPT). We construct the vacuum free energy density, quark condensate shifts induced by the magnetic field and the renormalized magnetization to O(p6) in the chiral expansion. We find that the calculation of the fr...
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| Vydáno v: | Nuclear physics. B Ročník 997; s. 116389 |
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| Jazyk: | angličtina |
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Elsevier B.V
01.12.2023
Elsevier |
| ISSN: | 0550-3213, 1873-1562 |
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| Abstract | We study three-flavor QCD in a uniform magnetic field using chiral perturbation theory (χPT). We construct the vacuum free energy density, quark condensate shifts induced by the magnetic field and the renormalized magnetization to O(p6) in the chiral expansion. We find that the calculation of the free energy is greatly simplified by cancellations among two-loop diagrams involving charged mesons. In comparing our results with recent 2+1-flavor lattice QCD data, we find that the light quark condensate shift at O(p6) is in better agreement than the shift at O(p4). We also find that the renormalized magnetization, due to its small-ness, possesses large uncertainties at O(p6) due to the uncertainties in the low-energy constants. |
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| AbstractList | We study three-flavor QCD in a uniform magnetic field using chiral perturbation theory (χPT). We construct the vacuum free energy density, quark condensate shifts induced by the magnetic field and the renormalized magnetization to O(p6) in the chiral expansion. We find that the calculation of the free energy is greatly simplified by cancellations among two-loop diagrams involving charged mesons. In comparing our results with recent 2+1-flavor lattice QCD data, we find that the light quark condensate shift at O(p6) is in better agreement than the shift at O(p4). We also find that the renormalized magnetization, due to its small-ness, possesses large uncertainties at O(p6) due to the uncertainties in the low-energy constants. |
| ArticleNumber | 116389 |
| Author | Adhikari, Prabal Strümke, Inga |
| Author_xml | – sequence: 1 givenname: Prabal orcidid: 0000-0002-1322-6119 surname: Adhikari fullname: Adhikari, Prabal email: adhika1@stolaf.edu organization: Physics Department, Faculty of Natural Sciences and Mathematics, St. Olaf College, 1520 St. Olaf Avenue, Northfield, MN 55057, United States – sequence: 2 givenname: Inga surname: Strümke fullname: Strümke, Inga email: inga.strumke@ntnu.no organization: Department of Computer Science, Faculty of Information Technology and Electrical Engineering, NTNU, Norwegian University of Science and Technology, Sem Sælandsvei 9, N-7491 Trondheim, Norway |
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| Cites_doi | 10.1016/0550-3213(85)90492-4 10.1016/S0370-2693(99)01414-8 10.1103/PhysRev.82.664 10.1134/S1063778812030052 10.1016/0003-4916(84)90242-2 10.1016/j.physletb.2021.136384 10.1007/BF01566663 10.1016/0550-3213(96)00021-1 10.1016/0378-4371(79)90223-1 10.1016/j.physletb.2009.11.017 10.1140/epja/s10050-021-00491-y 10.1103/PhysRevD.39.3478 10.1016/j.nuclphysb.2009.10.008 10.1016/0003-4916(91)90304-Q 10.1007/JHEP04(2013)023 10.1103/PhysRevD.66.014004 10.1146/annurev-nucl-102313-025528 10.1103/PhysRevC.77.065202 10.1103/PhysRevC.80.015203 10.1103/RevModPhys.88.025001 10.1016/S0370-2693(97)00441-3 10.1006/aphy.1999.5982 10.1016/j.nuclphysa.2008.10.010 10.1103/PhysRevC.76.055201 10.1140/epjc/s10052-008-0584-8 10.1140/epjs/s11734-021-00023-1 10.1007/BF01018812 10.1103/PhysRevLett.73.3499 |
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| Title | Vacuum free energy, quark condensate shifts and magnetization in three-flavor chiral perturbation theory to O(p6) in a uniform magnetic field |
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