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Nambu–Jona-Lasinio SU(3) model constrained by lattice QCD: thermomagnetic effects in the magnetization

  • Regular Article - Theoretical Physics
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Abstract

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 \(U_A(1)\) 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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: There are no further data beyond the ones shown in the figures.]

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Acknowledgements

This work was partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Grants No. 309598/2020-6 (R.L.S.F.), No. 304518/2019-0 (S.S.A.) No. 303846/2017-8 (M.B.P), and No. 309262/2019-4 (G.K.), No. 306615/2018-5 (V.S.T.); Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - (CAPES) Finance Code 001 ( W.R.T); Fundação de Amparo à Pesquisa do Estado do Rio Grande do Sul (FAPERGS), Grants Nos. 19/2551- 0000690-0 and 19/2551-0001948-3 (R.L.S.F.); Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), Grant No. 2018/25225-9 (G.K.), No. 2019/10889-1 (V.S.T.); Fundo de Apoio ao Ensino, Pesquisa e à Extensão (FAEPEX), Grant No. 3258/19 (V.S.T.). The work is also part of the project Instituto Nacional de Ciência e Tecnologia - Física Nuclear e Aplicações (INCT - FNA), Grant No. 464898/2014-5.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis, SC, 88040-900, Brazil

    William R. Tavares, Sidney S. Avancini & Marcus B. Pinto

  2. Departamento de Física, Universidade Federal de Santa Maria, Santa Maria, RS, 97105-900, Brazil

    Ricardo L. S. Farias

  3. Grupo de Óptica e Modelagem Numérica, Faculdade de Tecnologia, Universidade Estadual de Campinas, Limeira, SP, 13484-332, Brazil

    Varese S. Timóteo

  4. Instituto de Física Teórica, Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271 - Bloco II, São Paulo, SP, 01140-070, Brazil

    Gastão Krein

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  1. William R. Tavares
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  2. Ricardo L. S. Farias
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  3. Sidney S. Avancini
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Correspondence to Sidney S. Avancini.

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Communicated by Carsten Urbach.

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Tavares, W.R., Farias, R.L.S., Avancini, S.S. et al. Nambu–Jona-Lasinio SU(3) model constrained by lattice QCD: thermomagnetic effects in the magnetization. Eur. Phys. J. A 57, 278 (2021). https://doi.org/10.1140/epja/s10050-021-00587-5

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