https://doi.org/10.1140/epja/s10050-021-00587-5
Regular Article - Theoretical Physics
Nambu–Jona-Lasinio SU(3) model constrained by lattice QCD: thermomagnetic effects in the magnetization
1
Departamento de Física, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, SC, Brazil
2
Departamento de Física, Universidade Federal de Santa Maria, 97105-900, Santa Maria, RS, Brazil
3
Grupo de Óptica e Modelagem Numérica, Faculdade de Tecnologia, Universidade Estadual de Campinas, 13484-332, Limeira, SP, Brazil
4
Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, 01140-070, São Paulo, SP, Brazil
Received:
21
April
2021
Accepted:
7
September
2021
Published online:
30
September
2021
We use a three-flavor Nambu–Jona-Lasinio model to study the thermodynamics of strange quark matter under a strong magnetic field. The model Lagrangian features flavor SU(3) four-quark interactions and six-quark interactions that break the 
symmetry. We incorporate thermomagnetic effects in the four-quark coupling by fitting lattice results for the average of u and d quark condensates close to the pseudocritical temperature. We compute the pressure at the mean field level and obtain the magnetization of quark matter. We adopt the recently proposed vacuum magnetic regularization (VMR) scheme, in that divergent quark mass independent contributions are not subtracted, thereby avoiding unphysical results for the magnetization. We devote special attention to the renormalized magnetization, a projected quantity that allows for direct comparisons with lattice QCD simulations. Our results are in very good agreement with lattice data indicating a paramagnetic behavior for quark matter.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
