$\rho$ self energy at finite temperature and density in the real-time formalism

Abstract

The $\rho$ meson self-energy in nuclear matter from baryonic loops is analysed in the real time formulation of field theory at finite temperature and density. The discontinuities across the branch cuts of the self-energy function are evaluated for an exhaustive set of resonances in the loops considering the fully relativistic thermal baryon propagator including anti-baryons. Numerical calculations show a significant broadening of the $\rho$ spectral function coming from the Landau cut. Adding the contribution from mesonic loops, the full spectral function of the $\rho$ in a thermal gas of mesons, baryons and antibaryons in equilibrium is evaluated at various values of temperature and baryonic chemical potential.

References in corpus (4)

• NA60 results on thermal dimuons
• An explanation of the ${\Delta }_{5/2^{-}}(1930)$ as a $\rho \Delta$ bound state
• Real-time propagators at finite temperature and chemical potential
• Matter induced charge symmetry breaking and pion form factor in nuclear medium

Cited by in corpus (12)

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• Effect of spectral modification of $\rho$ on shear viscosity of a pion gas
• Medium effects on the viscosities of a pion gas
• Update on Chiral Symmetry Restoration in the Context of Dilepton Data
• In-medium vector mesons and low mass lepton pairs from heavy ion collisions
• Viscous coefficients of a hot pion gas
• Effect of in-medium spectral density of $D$ and $D^{\ast }$ mesons on the $J/\psi$ dissociation in hadronic matter
• Analysis of $\omega$ self-energy at finite temperature and density in the real-time formalism
• Low mass enhanced probability of pion in hadronic matter due to its Landau cut contributions