Selfconsistent descriptions of vector-mesons in hot matter revisited

Abstract

Technical concepts are presented that improve the selfconsistent treatment of vector-mesons in a hot and dense medium. First applications concern an interacting gas of pions and rho mesons. As an extension of earlier studies we thereby include RPA-type vertex corrections and further use dispersion relations in order to calculate the real part of the vector-meson selfenergy. An improved projection method preserves the four transversality of the vector-meson polarisation tensor throughout the selfconsistent calculations, thereby keeping the scheme void of kinematical singularities.

10 pages, 3 figure

References in corpus (11)

• Hadrons in strongly interacting matter
• Modification of the rho meson detected by low-mass electron-positron pairs in central Pb-Au collisions at 158 A GeV/c
• Low Mass Dimuons Produced in Relativistic Nuclear Collisions
• Thermal Dimuon Yields at NA60
• Antikaons and hyperons in nuclear matter with saturation
• Selfconsistent approximations, symmetries and choice of representation
• Photoabsorption off nuclei with self consistent vertex corrections
• Medium Modifications of the Rho Meson in Nuclear Photoproduction
• Covariant and self consistent vertex corrections for pions and isobars in nuclear matter
• Reply to 'Comment on: 'Non-perturbative finite T broadening of the rho meson and dilepton emission in heavy ion-collisions''
• Comment on: Non-perturbative finite T broadening of the rho meson and dilepton emission in heavy ion-collisions (by J. Ruppert and T. Renk Phys. Rev. C71 (2005) 064903; nucl-th/0412047