Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation

Karmakar, Bithika; Ghosh, Ritesh; Bandyopadhyay, Aritra; Haque, Najmul; Mustafa, Munshi G.

doi:10.1103/physrevd.99.094002

Cited by 71 publications

(70 citation statements)

References 112 publications

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“…Let us explore the covariant structure of the quark selfenergy at finite temperature in an additional presence of magnetic field, which can in general be written [79,80] as…”

Section: Quasiparticle Description Of Hot Qcd Mattermentioning

confidence: 99%

Revisit to electrical and thermal conductivities, Lorenz and Knudsen numbers in thermal QCD in a strong magnetic field

Rath

Patra

2019

Phys. Rev. D

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We have explored how the electrical (σ el ) and thermal (κ) conductivities in a thermal QCD medium get affected in weak-momentum anisotropies arising either due to a strong magnetic field or due to asymptotic expansion in a particular direction. This study, in turn, facilitates to understand the longevity of strong magnetic field through σ el , Lorenz number in Wiedemann-Franz law, and the validity of local equilibrium by the Knudsen number through κ. We calculate the conductivities by solving the relativistic Boltzmann transport equation in relaxation-time approximation, where the interactions are incorporated through the distribution function within the quasiparticle approach at finite T and strong B. However, we also compare with the noninteracting scenario, which gives unusually large values, thus validating the quasiparticle description. We have found that both σ el and κ get enhanced in a magnetic field-driven anisotropy, but σ el monotonically decreases with the temperature, opposite to the faster increase in the expansion-driven anisotropy. Whereas κ increases very slowly with the temperature, contrary to its rapid increase in the expansion-driven anisotropy. Therefore, the conductivities may distinguish the origin of anisotropies. The above findings are broadly attributed to three factors: the stretching and squeezing of the distribution function due to the momentum anisotropies generated by the strong magnetic field and asymptotic expansion, respectively, the dispersion relation and the resulting phase-space factor, the relaxation-time in the absence and presence of strong magnetic field. Thus, σ el extracts the time-dependence of initially produced strong magnetic field, which expectedly decays slower than in vacuum but the expansion-driven anisotropy makes the decay faster. The variation in κ transpires that the Knudsen number (Ω) decreases with the temperature, but the expansion-driven anisotropy reduces its magnitude, and the strong magnetic field-driven anisotropy raises its value but to less than one, thus the system can still be in local equilibrium in a range of temperature and magnetic field. Finally, the ratio, κ=σ el in Wiedemann-Franz law in magnetic field-driven anisotropy increases linearly with temperature but its magnitude is smaller than in expansiondriven anisotropic medium. Thus, the slope, i.e., the Lorenz number can make the distinction between the anisotropies of different origins.

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“…Let us explore the covariant structure of the quark selfenergy at finite temperature in an additional presence of magnetic field, which can in general be written [79,80] as…”

Section: Quasiparticle Description Of Hot Qcd Mattermentioning

confidence: 99%

Revisit to electrical and thermal conductivities, Lorenz and Knudsen numbers in thermal QCD in a strong magnetic field

Rath

Patra

2019

Phys. Rev. D

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“…The general structures of the quark and gluon self-energy in the presence of the magnetic field have been formulated in Ref. [53] at finite temperature but for zero quark chemical potential. Here we extend it for the case of nonzero quark chemical potential.…”

Section: Strong Magnetic Fieldmentioning

confidence: 99%

“…In the presence of the strong magnetic field, the general structure of quark self-energy can be written from Ref. [53] as…”

Section: Strong Magnetic Fieldmentioning

confidence: 99%

“…The effects like magnetic catalysis [21,26,27], inverse magnetic catalysis [28][29][30][31][32][33][34][35][36], chiral magnetic effect [37,38] and meson masses [39][40][41][42][43][44][45][46][47][48][49][50][51][52] in the presence of a magnetic field in noncentral heavy-ion collision have been reported. Furthermore, various thermodynamic quantities [53,54], transport coefficients [55,56], dilepton production rate [57][58][59][60][61][62], photon production rate [63,64], and damping of photons [65] in a magnetized QCD matter have been obtained.…”

Section: Introductionmentioning

confidence: 99%

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Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field

2020

Self Cite

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Considering the strong field approximation we compute the hard thermal loop pressure at finite temperature and chemical potential of hot and dense deconfined QCD matter in the lowest Landau level in one-loop order. We consider the anisotropic pressure in the presence of the strong magnetic field i.e., longitudinal and transverse pressure parallel and perpendicular to the magnetic field direction. As a first effort we compute and discuss the anisotropic quark number susceptibility of deconfined QCD matter in the lowest Landau level. The longitudinal quark number susceptibility is found to increase with the temperature whereas the transverse one decreases with the temperature. We also compute the quark number susceptibility in the weak field approximation. We find that the thermomagnetic correction to the quark number susceptibility is very marginal in the weak field approximation.

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“…Recently, several studies have found the effect of magnetic catalysis [8][9][10], i.e., the enhancement of phase transition temperature of QCD matter in presence of external magnetic field, whereas, some results of inverse magnetic catalysis [11][12][13][14][15][16][17][18] have been reported. Various properties of QCD matter at weak coupling in presence of magnetic field is being studied including the equation of state [19][20][21], transport properties [22][23][24]. Modification of QCD Debye mass and the two point correlation functions of quarks [25] and gluons [26][27][28] i.e., partons have been analyzed recently.…”

Section: Introductionmentioning

confidence: 99%

Soft contribution to the damping rate of a hard photon in a weakly magnetized hot medium

2020

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We consider weakly magnetized hot QED plasma comprising electrons and positrons.There are three distinct dispersive (longitudinal and two transverse) modes of a photon in a thermo-magnetic medium. At lowest order in coupling constant, photon is damped in this medium via Compton scattering and pair creation process. We evaluate the damping rate of hard photon by calculating the imaginary part of the each transverse dispersive modes in a thermo-magnetic QED medium. We note that one of the fermions in the loop of one-loop photon self-energy is considered as soft and the other one is hard. Considering the resummed fermion propagator in a weakly magnetized medium for the soft fermion and the Schwinger propagator for hard fermion, we calculate the soft contribution to the damping rate of hard photon. In weak field approximation the thermal and thermo-magnetic contributions to damping rate get separated out for each transverse dispersive mode. The total damping rate for each dispersive mode in presence of magnetic field is found to be reduced than that of the thermal one. This formalism can easily be extended to QCD plasma. * ritesh.ghosh@saha.ac.in

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Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation

Cited by 71 publications

References 112 publications

Revisit to electrical and thermal conductivities, Lorenz and Knudsen numbers in thermal QCD in a strong magnetic field

Revisit to electrical and thermal conductivities, Lorenz and Knudsen numbers in thermal QCD in a strong magnetic field

Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field

Soft contribution to the damping rate of a hard photon in a weakly magnetized hot medium

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