Equation of State of an Interacting Pion Gas with Realistic $\pi$--$\pi$ Interactions

Abstract

Within the finite-temperature Greens-function formalism we study the equation of state of a hot interacting pion gas at zero chemical potential. Employing realistic $\pi \pi$ meson-exchange interactions we selfconsistently calculate the in-medium single-pion selfenergy and the $\pi \pi$ scattering amplitude in the quasiparticle approximation. These quantities are then used to evaluate the thermodynamic potential, ${\Omega }_{\pi }$(T), from which the state variables: pressure-, entropy- and energy-density can be derived. In contrast to earlier calculations based on the low-energy Weinberg Lagrangian we find an overall increase as compared to the free-gas results. We also consider the possibility of a dropping $\rho$-meson mass as suggested by the 'Brown-Rho Scaling' law.

30 pages LaTeX, 3 postscript figures appended as uuencoded file

References in corpus (5)

• S-Wave Pion-Pion Correlations in Dense Nuclear Matter
• Chirally Constraining the $\pi \pi$ Interaction in Nuclear Matter
• Selfconsistent Description of a Thermal Piongas
• Thermal Properties of a Hot Pion Gas beyond the Quasiparticle Approximation
• Temperature Dependence of the Chiral Condensate from an Interacting Pion Gas

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• Nonequilibrium pion distribution within the Zubarev approach
• Inquiry for the π^+ π^- bound state conversion in two π^0 as being due to the Weinberg pion-pion-interaction lagrangian
• Pion Mass Shift and the Kinetic Freeze Out Process
• Pionic depth of the hadron gas after a heavy-ion collision
• Dual Interpretations of Pion Clouds at RHIC