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

Rath, Shubhalaxmi; Patra, Binoy Krishna

doi:10.1103/physrevd.100.016009

Cited by 54 publications

(56 citation statements)

References 78 publications

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“…Earlier the nascent strong magnetic field was thought to decay very fast with time, resulting in the magnetic field of weaker strength. However, it was later found that the realistic estimates of electrical conductivity of the medium may elongate the lifetime of the magnetic field [7][8][9]. It thus becomes imperative to investigate the effects of both strong and weak magnetic fields on the signature of the novel matter produced in URHICs.…”

Section: Introductionmentioning

confidence: 99%

Dissociation of heavy quarkonia in a weak magnetic field

Hasan

Patra

2020

Phys. Rev. D

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We examined the effects of the weak magnetic field on the properties of heavy quarkonia immersed in a thermal medium of quarks and gluons and studied how the magnetic field affects the quasifree dissociation of quarkonia in the aforementioned medium. For that purpose, we have revisited the general structure of gluon self-energy tensor in the presence of a weak magnetic field in thermal medium and obtained the relevant structure functions using the imaginary-time formalism. The structure functions give rise to the real and imaginary parts of the resummed gluon propagator, which further give the real and imaginary parts of the dielectric permittivity. The real and imaginary parts of the dielectric permittivity will be used to evaluate the real and imaginary parts of the complex heavy quark potential. We have observed that the real part of the potential is found to be more screened, whereas the magnitude of the imaginary part of the potential gets increased on increasing the value of both temperature and magnetic field. In addition to this, we have observed that the real part gets slightly more screened while the imaginary part gets increased in the presence of a weak magnetic field as compared to their counterparts in the absence of a magnetic field (pure thermal). The increase in the screening of the real part of the potential leads to the decrease of binding energies of J=Ψ and ϒ, whereas the increase in the magnitude of the imaginary part leads to the increase of thermal width with the temperature and magnetic field both. Also the binding energy and thermal width in the presence of a weak magnetic field become smaller and larger, respectively, as compared to that in the pure thermal case. With the observations of binding energy and thermal width in hand, we have finally obtained the dissociation temperatures for J=Ψ and ϒ, which become slightly lower in the presence of a weak magnetic field. For example, with eB ¼ 0m 2 π the J=ψ and ϒ are dissociated at 1.80T c and 3.50T c , respectively, whereas with eB ¼ 0.5m 2 π they dissociated at slightly lower values 1.74T c and 3.43T c , respectively. This observation leads to the slightly early dissociation of quarkonia because of the presence of a weak magnetic field.

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Section: Introductionmentioning

confidence: 99%

Dissociation of heavy quarkonia in a weak magnetic field

Hasan

Patra

2020

Phys. Rev. D

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“…In this work, we have used the resummed propagators for quarks and gluons immersed in a thermal medium in the absence and in the presence of a strong magnetic field by the respective self-energies and finally the poles of respective propagators yield the medium generated (quasiparticle) masses for quarks and gluons. With this quasiparticle description, the thermal and electrical conductivities were found finite [8], but larger in the anisotropy induced by the strong magnetic field than by the expansion. Here also, in the magnetic field-driven (B-driven) anisotropy, not only the magnitude of shear viscosity becomes larger than that in the expansion-driven anisotropy, but its increase with temperature also becomes faster.…”

Section: Introductionmentioning

confidence: 95%

“…Different versions of quasiparticle description exist in the literature based on different effective theories, such as the Nambu-Jona-Lasinio model and its extension PNJL model [62][63][64], Gribov-Zwanziger quantization [65,66], thermodynamically consistent quasiparticle model [67] etc. However, our description relies on perturbative thermal QCD, where the medium generated masses for quarks and gluons are obtained from the poles of dressed propagators calculated by the respective self-energies at finite temperature and/or a strong magnetic field [8].…”

Section: Quasiparticle Description Of Partons At Finite T and Strmentioning

confidence: 99%

“…Naive classical estimates predict that the magnetic field may be very strong for a very short duration [6]. However, the realistic calculations on the charge transport properties of the produced medium, mainly the electrical conductivity, suggest that the magnetic field may remain substantially strong for a significantly longer time [7,8]. Since the abovementioned collective flow has been interpreted as a strong indicator of early thermalization, the strong magnetic field created at the early stages of URHICs might affect the momentum transport of the produced matter.…”

Section: Introductionmentioning

confidence: 99%

“…One might thus expect that, the anisotropies discussed hereinabove could affect the transport properties of the medium. Recently we had explored the effects of aforesaid momentum anisotropies on the transports of charge and heat by electrical (σ el ) and thermal (κ) conductivities, respectively, where not only their magnitudes have undergone a drastic change, but their behaviors have also seen a marked difference in the abovementioned anisotropies [8]. Moreover we had also studied the affiliated coefficients related to σ el and κ by the Lorenz number in Wiedemann-Franz law and the Knudsen number, whose magnitudes as well as behaviors distinguish the anisotropies.…”

Section: Introductionmentioning

confidence: 99%

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Momentum and its affiliated transport coefficients for hot QCD matter in a strong magnetic field

Rath

Patra

2020

Phys. Rev. D

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We have studied the effects of anisotropies on the momentum transport in a strongly interacting matter by the transport coefficients, viz. shear (η) and bulk (ζ) viscosities. The anisotropies could arise either by the strong magnetic field or by the preferential expansion, both of which are created in the very early stages of ultrarelativistic heavy ion collisions at the RHIC or the LHC. This study is thereby aimed to understand (i) the fluidity and location of the transition point of the matter through η=s and ζ=s (s is the entropy density), respectively, (ii) the sound attenuation through the Prandtl number (Pl), (iii) the nature of the flow by the Reynolds number (Rl), and (iv) the competition between momentum and charge diffusions through the ratio ðη=sÞ=ðσ el =TÞ. For this purpose, we have first calculated the viscosities in the relaxation-time approximation of kinetic theory approach and the interactions among partons are embodied by assigning masses to quarks and gluons at finite temperature and strong magnetic field, known as the quasiparticle model. Compared to the isotropic medium, both η and ζ get increased in the magnetic field-driven (B-driven) anisotropy, contrary to the decrease in the expansion-driven anisotropy. Zooming in, η increases with temperature faster in the former case than in the latter case, whereas ζ in the former case monotonically decreases with the temperature and in the latter case, it is meager and ultimately diminishes at a specific temperature. Thus, the behaviors of shear and bulk viscosities could in principle distinguish the aforesaid anisotropies. As a result, η=s gets enhanced in the former case but decreases with temperature and in the latter case, it becomes even smaller than the isotropic one. Similarly, ζ=s gets amplified but decreases faster with the temperature in the presence of a strong magnetic field. The Prandtl number gets increased in B-induced anisotropy and gets decreased in expansion-induced anisotropy, compared to the isotropic case. However, Pl is always found larger than 1, so the sound attenuation is mostly governed by the momentum diffusion. The momentum anisotropy due to the magnetic field makes the Reynolds number smaller than 1, whereas the expansion-driven anisotropy makes it larger. Finally the ratio ðη=sÞ=ðσ el =TÞ is amplified much in the presence of magnetic field-driven anisotropy, whereas the amplification is less pronounced in an isotropic medium as well as in an expansion-driven anisotropic medium. However, the ratio is always more than 1, so the momentum diffusion always prevails over the charge diffusion.

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