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Thermo-magnetic effects in quark matter: Nambu-Jona-Lasinio model constrained by lattice QCD

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Abstract.

The phenomenon of inverse magnetic catalysis of chiral symmetry in QCD predicted by lattice simulations can be reproduced within the Nambu-Jona-Lasinio model if the coupling G of the model decreases with the strength B of the magnetic field and temperature T. The thermo-magnetic dependence of G(B, T) is obtained by fitting recent lattice QCD predictions for the chiral transition order parameter. Different thermodynamic quantities of magnetized quark matter evaluated with G(B, T) are compared with the ones obtained at constant coupling, G. The model with G(B, T) predicts a more dramatic chiral transition as the field intensity increases. In addition, the pressure and magnetization always increase with B for a given temperature. Being parametrized by four magnetic-field-dependent coefficients and having a rather simple exponential thermal dependence our accurate ansatz for the coupling constant can be easily implemented to improve typical model applications to magnetized quark matter.

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Author information

Authors and Affiliations

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

    Ricardo L. S. Farias

  2. Physics Department, Kent State University, 44242, Kent, OH, USA

    Ricardo L. S. Farias

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

    Varese S. Timóteo

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

    Sidney S. Avancini & Marcus B. Pinto

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

    Gastão Krein

Authors
  1. Ricardo L. S. Farias
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  2. Varese S. Timóteo
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  3. Sidney S. Avancini
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Correspondence to Ricardo L. S. Farias.

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Communicated by L. Tolos

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Farias, R.L.S., Timóteo, V.S., Avancini, S.S. et al. Thermo-magnetic effects in quark matter: Nambu-Jona-Lasinio model constrained by lattice QCD. Eur. Phys. J. A 53, 101 (2017). https://doi.org/10.1140/epja/i2017-12320-8

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