Shear viscosity and electrical conductivity of the relativistic fluid in the presence of a magnetic field: A massless case

Dey, Jayanta; Satapathy, Sarthak; Murmu, Prasanta; Ghosh, Sabyasachi

doi:10.1007/s12043-021-02148-3

Cited by 23 publications

(11 citation statements)

References 54 publications

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“…Similar kind of microscopic calculations [25][26][27][28][29][30][31][32][33][34][35][36][37][38] high temperature and low density QCD matter, which can be produced in heavy ion collision (HIC) experiments like relativistic heavy ion collision (RHIC) and large hadron collider (LHC). By increasing the temperature, one can expect hadron to quark phase transition at nearly zero (net) quark/baryon density.…”

Section: Introductionmentioning

confidence: 94%

“…One can expect a super-hot massless quark gluon plasma (QGP) under a strong magnetic field, whose conductivity expression for classical, quantum field theory cases are respectively discussed in Refs. [34,39]. Here, classical terminology is used for the case, where no Landau quantizations have not been considered and calculations are based on relaxation time approximation (RTA) based kinetic theory.…”

Section: Introductionmentioning

confidence: 99%

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Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field

Satapathy,

Ghosh,

Ghosh

2021

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We have gone through a detailed calculation of the two-point correlation function of vector currents at finite density and magnetic field by employing the real time formalism of finite temperature field theory and Schwinger's proper time formalism. With respect to the direction of external magnetic field, the parallel and perpendicular components of electric conductivity for the degenerate relativistic Fermionic matter are obtained from the zero momentum limit of the current-current correlator, owing to Kubo formula. Our quantum field theoretical expressions and numerical estimations are compared with the same, obtained from the relaxation time approximation methods of kinetic theory and its Landau quantized extension, which may be called as classical and quantum results respectively. All the results are merged in the classical domain i.e. high density and low magnetic field region but in the remaining (quantum) domain, quantum results carry a quantized information like Shubnikov-de Haas oscillation along density and magnetic field axes. We have obtained completely new quantum field theoretical expression for perpendicular conductivity of degenerate relativistic Fermionic matter. Interestingly, our quantum field theoretical calculation provide a new mathematical form of cyclotron frequency with respect to its classical definition, which might require more future research to interpret the phenomena.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Quantum field theoretical structure of electrical conductivity of cold and dense fermionic matter in the presence of a magnetic field

Satapathy,

Ghosh,

Ghosh

2021

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“…The advantage of this approach lies in the fact that the T , B dependent phase space part of η(T, B) are well studied in recent Refs. [50][51][52][53][54][55][56][57][58][59][60][61][62][63] . So, based on that knowledge, we have invoked the T , B dependent phase space part into q(T, B).…”

Section: Phase Space Componentmentioning

confidence: 99%

“…We first consider the case of zero magnetic field, then we move to the non-zero magnetic field picture. According to the macroscopic fluid definition, shear viscosity η is the proportionality constant between viscous stress tensor π ij and velocity gradient tensor C ij [63], i.e.…”

Section: Phase Space Componentmentioning

confidence: 99%

“…The unknown constant C in Eq. ( 15) has been obtained in terms of relaxation time τ c with the help of relaxation time approximation (RTA) based relativistic Boltzmann equation (RBE) [63]. Now, in presence of magnetic field, instead of a single traceless velocity gradient tensor C ij , we get 5 independent traceless tensors -one set is proposed in Ref.…”

Section: Phase Space Componentmentioning

confidence: 99%

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Effect of magnetic field on jet transport coefficient $\hat{q}$

Banerjee¹,

Paul²,

Das³

et al. 2021

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We report the effect of magnetic field on estimation of jet transport coefficient, q using a simplified quasi-particle model. Our adopted quasi-particle model introduces temperature and magnetic field dependent degeneracy factors of partons, which are tuned by fitting the magneto-thermodynamical data of lattice quantum chromodynamics. In absence of magnetic field, q is estimated by using the temperature dependent degeneracy factor. At finite magnetic field, q splits into parallel and perpendicular components, whose magnetic field dependent part has two sources. One is field dependent degeneracy factor and another is phase space part, guided from shear viscosity to entropy density ratio. Their collective role provides an enhanced jet transport coefficients, which should be considered in detailed jet quenching phenomenology in presence of magnetic field.

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