Selfconsistent descriptions of vector-mesons in hot matter revisited

TL;DR

This paper presents an improved selfconsistent approach for describing vector-mesons in hot, dense matter, incorporating vertex corrections and dispersion relations to enhance the accuracy of the vector-meson selfenergy calculations.

Contribution

It introduces an advanced projection method and includes RPA-type vertex corrections, extending previous models for vector-mesons in hot matter.

Findings

Enhanced selfconsistent treatment of vector-mesons

Inclusion of vertex corrections and dispersion relations

Preservation of transversality without kinematical singularities

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.