Effect of momentum anisotropy on quark matter in the quark-meson model

Zhang, He-Xia; Zhang, Ben-Wei

doi:10.48550/arxiv.2007.13580

Cited by 1 publication

(3 citation statements)

References 82 publications

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“…And an increase in ξ, meson masses have an enhancement beyond T c . This qualitative behavior of meson masses with ξ also is observed in our previous report [134] based on the quark-meson model. Our result also slightly differs form the finite size study [50] in the NJL model, where below critical temperature π meson mass enhances as the system size decreases, while σ mass meson remain unchanged.…”

Section: Resultssupporting

confidence: 87%

“…Whereas the result of Ref. [134] has shown that in the QM model the impact of momentum anisotropy on the quark chemical potential of the CEP is more dominant than that on the associated temperature. In addition, in the study of finite volume effect, the result of Ref.…”

Section: Resultsmentioning

confidence: 94%

“…To quantify the transport coefficients, one need to specify the relaxation time. Different to the treatment of our previous work [134], where the relaxation time in the calculation of transport coefficients is crudely taken as a constant, in present work the more realistic scattering processes through the exchange of meson are encoded into the estimate of the relaxation time. The relaxation times of (anti)quarks are micorscopically determined from the thermal-averaged elastic scattering cross-section and the particle density in local equilibrium.…”

Section: Computation Of the Relaxation Timementioning

confidence: 99%

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Phenomenological study of the anisotropic quark matter in the 2-flavor Nambu-Jona-Lasinio model

Zhang¹,

Xiao²,

Kang³

et al. 2021

Preprint

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The chiral phase structure, mesonic properties and transport properties in a momentum anisotropic quark matter induced by the preferential expansion of medium are phenomenologically investigated based on the two flavor Nambu-Jona-Lasinio model. The calculations of various transport coefficients have been performed using the kinetic theory in the relaxation time approximation, where the momentum anisotropy is embeded in the estimation of both distribution function and the relaxation time. Our results indicate that an increase in anisotropy parameter ξ can considerably lead to a catalysis of chiral symmetry breaking. The critical endpoint (CEP) is shifted to smaller temperatures and larger quark chemical potentials as ξ increases, and the influence of momentum anisotropy on temperature of CEP is almost the same as that on the quark chemical potential of CEP. The meson masses and the associated decay widths also significantly are affect by the variation of ξ. The temperature behavior of scaled shear viscosity η/T 3 and scaled electrical conductivity σ el /T exhibit a similar dip struture, however, their qualitative behaviors with ξ are different. Nevertheless, the minima of both η/T 3 and σ el /T shift toward higher temperatures with an increase of ξ. Furthermore, in this work the Seebeck coefficient S exhibits a decreasing function of temperature and its sign is positive, indicating the dominant carriers of converting the temperature gradient to the electric field are up quarks. With a rise in ξ the value of S has a significant enhancement for the temperature below the critical temperature.