https://doi.org/10.1140/epjc/s10052-021-09212-7
Regular Article - Theoretical Physics
Quark, pion and axial condensates in three-flavor finite isospin chiral perturbation theory
1
Physics Department, Faculty of Natural Sciences and Mathematics, St. Olaf College, 1520 Saint Olaf Avenue, 55057, Northfield, MN, USA
2
Department of Physics, Norwegian University of Science and Technology, Høgskoleringen 5, 7491, Trondheim, Norway
Received:
13
December
2020
Accepted:
5
May
2021
Published online:
25
May
2021
We calculate the light-quark condensate, the strange-quark condensate, the pion condensate, and the axial condensate in three-flavor chiral perturbation theory (
PT) in the presence of an isospin chemical potential at next-to-leading order at zero temperature. It is shown that the three-flavor PT effective potential and condensates can be mapped onto two-flavor PT ones by integrating out mesons with strange-quark content (kaons and eta), with renormalized couplings. We compare the results for the light-quark and pion condensates at finite pseudoscalar source with (
)-flavor lattice QCD, and we also compare the axial condensate at zero pseudoscalar and axial sources with lattice QCD data. We find that the light-quark, pion, and axial condensates are in very good agreement with lattice data. There is an overall improvement by including NLO effects.
© The Author(s) 2021
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
