Thermal conductivity of hot pionic medium due to pion self-energy for $\pi \sigma$ and $\pi \rho$ loops

Abstract

The thermal conductivity of pionic medium has been evaluated with the help of its standard expression from the relaxation time approximation, where inverse of pion relaxation time or pion thermal width has been obtained from the imaginary part of pion self-energy. In the real-time formalism of thermal field theory, the finite temperature calculations of pion self-energy for $\pi \sigma$ and $\pi \rho$ loops have been done. The numerical value of our thermal conductivity increases with temperature very softly, though at particular temperature, our estimation has to consider a large band of phenomenological uncertainty.

arXiv commentPublished in International Journal of Modern Physics E

References in corpus (18)

• Experimental evidence for a light and broad scalar resonance in $D^{+}\to {\pi }^{-}{\pi }^{+}{\pi }^{+}$ decay
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) particle
• Transport coefficients and resonances for a meson gas in Chiral Perturbation Theory
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Thermal conductivity of dense quark matter and cooling of stars
• A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
• Shear viscosity of pion gas due to $\rho \pi \pi$ and $\sigma \pi \pi$ interactions
• The nucleon thermal width due to pion-baryon loops and its contribution in Shear viscosity
• Investigation of Heat Conductivity in Relativistic Systems using a Partonic Cascade
• Effect of spectral modification of $\rho$ on shear viscosity of a pion gas
• Medium effects on the thermal conductivity of a hot pion gas
• Thermal conductivity of color-flavor locked quark matter
• Medium effects on the relaxation of dissipative flows in a hot pion gas
• $\sigma$ Meson In $J/\Psi$ Decays
• Thermal conductivity of the quark matter for the SU(2) light-flavor sector
• Low mass enhanced probability of pion in hadronic matter due to its Landau cut contributions

Cited by in corpus (6)

• Estimating transport coefficients in hot and dense quark matter
• Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
• Electrical and thermal conductivities of hot and dense hadron gas
• Chirality dependence in charge and heat transport in thermal QCD
• Estimating transport coefficients of interacting pion gas with K-matrix cross sections
• In-medium effect on the thermodynamics and transport coefficients in van der Waals hadron resonance gas