Electrical conductivity of quark matter at finite<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi></mml:math>under external magnetic field

Nam, Seung-il

doi:10.1103/physrevd.86.033014

Cited by 55 publications

(48 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We also parametrize the numerical result of =s in a simple polynomial form as a function of t ¼ T=T 0 for B ¼ 0. Encouraged by our results obtained here-which agree well with the empirical data-we would like to extend our study to other QGP transport coefficients, such as the bulk viscosity and the heat conductivity [46][47][48]. Moreover, it would be interesting to take into account the external electric field, which turns out to be considerably strong in heavy-ion collisions.…”

Section: Summary and Future Perspectivessupporting

confidence: 76%

Shear viscosity of quark matter at finite temperature under an external magnetic field

Nam

Kao

2013

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We employ the diluted instanton liquid model and the Green-Kubo formula to investigate the shear viscosity of the SU(2) light-flavor quark matter at finite temperature under an external strong magnetic field ejBj $ m 2 . We apply the Schwinger method to calculate the effect of the external magnetic field. We find that the shear viscosity increases as temperature increases even beyond the transition temperature T 0 ¼ 170 MeV if temperature-dependent model parameters are used. On the other hand, with temperature-independent ones the shear viscosity starts to drop when the temperature goes beyond T 0 . Furthermore, we find that the presence of an external magnetic field will reduce the shear viscosity. However, this effect is almost negligible in the chiral-restored phase even for a very strong magnetic field, ejBj % 10 20 gauss. We also compute the ratio of the shear viscosity and the entropy density =s and our results are well compatible with the other theoretical results for a wide temperature range. We also provide the parametrization of the temperature-dependent ratio =s from our numerical result as =s ¼ 0:27 À 0:87=t þ 1:19=t 2 À 0:28=t 3 with t T=T 0 for T ¼ ð100 $ 350Þ MeV when ejBj ¼ 0.

show abstract

Section: Summary and Future Perspectivessupporting

confidence: 76%

Shear viscosity of quark matter at finite temperature under an external magnetic field

Nam

Kao

2013

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…As suggested for the shear viscosity for quark matter in Ref. [20], we take into account the quark spectral density with a finite width, which relates to the model scale, i.e the average instanton sizeρ: Λ ∼ 1/ρ. Then, the quark spectral density ρ k,µ reads as a function of (k 0 , k, µ) explicitly and T implicitly.…”

Section: A Thermal Conductivity Via the Green-kubo Formulamentioning

confidence: 99%

“…In the generic liquid-instanton model (LIM), the quarks obtain the momentum-dependent effective mass through the nontrivial interactions with the (anti)instantons at the zero mode [15]. Being motivated by this mechanism, we introduce a parametrization of the mass as [20]:…”

Section: A Thermal Conductivity Via the Green-kubo Formulamentioning

confidence: 99%

Thermal conductivity of the quark matter for the SU(2) light-flavor sector

Nam

2015

Mod. Phys. Lett. A

Self Cite

View full text Add to dashboard Cite

We investigate the thermal conductivity (κ) of the quark matter at finite quark chemical potential (µ) and temperature (T ), employing the Green-Kubo formula, for the SU(2) light-flavor sector with the finite current-quark mass m = 5 MeV. As a theoretical framework, we construct an effective thermodynamic potential from the (µ, T )-modified liquid-instanton model (mLIM). Note that all the relevant model parameters are designated as functions of T , using the trivial-holonomy caloron solution. By solving the self-consistent equation of mLIM, we acquire the constituent-quark mass M0 as a function of T and µ, satisfying the universal-class patterns of the chiral phase transition. From the numerical results for κ, we observe that there emerges a peak at µ ≈ 200 MeV for the low-T region, i.e. T 100 MeV. As T increase over T ≈ 100 MeV, the curve for κ is almost saturated as a function of T in the order of ∼ 10 −1 GeV 2 , and grows with respect to µ smoothly. At the normal nuclear-matter density ρ0 = 0.17 fm −3 , κ shows its maximum 6.22 GeV 2 at T ≈ 10 MeV, then decreases exponentially down to κ ≈ 0.2 GeV 2 . We also compute the ratio of κ and the entropy density, i.e. κ/s as a function of (µ, T ) which is a monotonically decreasing function for a wide range of T , then approaches a lower bound at very high T : κ/smin 0.3 GeV −1 in the vicinity of µ = 0.

show abstract

“…Typically, it turns out that σ ≈ (0.02 ∼ 0.15) fm Readers can refer to Ref. [18] for more details of the present work. The transport coefficients for quark matter are very important physical quantities for understanding QCD at extreme conditions.…”

Section: Discussionmentioning

confidence: 99%

“…[18]. The author is grateful to Z. Fodor, N. Sadooghi, B. Hiller, and S. Kim for the fruitful discussions and comments on this work.…”

mentioning

confidence: 99%

Electrical conductivity of quark matter at finite T

Nam¹

2013

Proceedings of XTH Quark Confinement and the Hadron Spectrum — PoS(Confinement X)

Self Cite

View full text Add to dashboard Cite

In this talk, I present the recent theoretical results on the electrical conductivity (EC) σ of quark matter, using the Kubo formula at finite temperature and zero quark density (T = 0, µ = 0) in the presence of an external strong magnetic field. The dilute instanton-liquid model with the caloron distribution is taken into account. It turns out that σ ≈ (0.02 ∼ 0.15) fm −1 for T = (0 ∼ 400) MeV with the relaxation time τ = (0.3 ∼ 0.9) fm. EC is parameterized as σ /T ≈ (0.46, 0.77, 1.08, 1.39)C EM for τ = (0.3, 0.5, 0.7, 0.9) fm, respectively. These results are well compatible with other theoretical estimations and show almost negligible effects from the magnetic field. The soft photon emission rate from the quark-gluon plasma is discussed as well.Xth Quark Confinement and the Hadron Spectrum,

show abstract

Electrical conductivity of quark matter at finiteTunder external magnetic field

Cited by 55 publications

References 47 publications

Shear viscosity of quark matter at finite temperature under an external magnetic field

Shear viscosity of quark matter at finite temperature under an external magnetic field

Thermal conductivity of the quark matter for the SU(2) light-flavor sector

Electrical conductivity of quark matter at finite T

Contact Info

Product

Resources

About