https://doi.org/10.1140/epjc/s10052-023-11655-z
Regular Article - Theoretical Physics
Quantum version of transport coefficients in Nambu–Jona-Lasinio model at finite temperature and strong magnetic field
1
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany
2
Government General Degree College Kharagpur-II, 721149, Paschim Medinipur, West Bengal, India
3
Departamento de Física, Universidade Federal de Santa Maria, 97105-900, Santa Maria, RS, Brazil
4
Indian Institute of Technology Bhilai, GEC Campus, Sejbahar, 492015, Raipur, Chhattisgarh, India
a
aritrabanerjee.444@gmail.com
Received:
24
January
2023
Accepted:
24
May
2023
Published online:
9
June
2023
We have estimated parallel and perpendicular components of electrical conductivity and shear viscosity of quark matter at finite magnetic field and temperature by using their one-loop Kubo expressions in the framework of Nambu–Jona-Lasinio (NJL) model. At finite magnetic field, a non-trivial medium dependence of those quantities can be found. Previously these NJL-profiles have been addressed in relaxation time approximation, where cyclotron motion of quarks with medium dependent mass plays the key role. With respect to the earlier estimations, the present work provides further enriched profiles via Kubo framework, where field theoretical descriptions of quark transport with medium dependent mass and (Landau) quantized energy have been identified as the key ingredients. Hence the present study can be considered as the complete quantum field theoretical description of the transport coefficients in the framework of NJL model at finite temperature and magnetic field.
© The Author(s) 2023
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