Finite pion width effects on the rho--meson

Abstract

We study the influence of the finite damping width of pions on the in-medium properties of the rho-meson in an interacting meson gas model at finite temperature. Using vector dominance also implications on the resulting dilepton spectra from the decay of the rho-meson are presented. A set of coupled Dyson equations with self energies up to the sunset diagram level is solved self consistently. Following a Phi-derivable scheme the self energies are dynamically determined by the self consistent propagators. Some problems concerning the self consistent treatment of vector or gauge bosons on the propagator level, in particular, if coupled to currents arising from particles with a sizable damping width, are discussed.

16 pages, uses feynmp.sty (included), clarified some points on gauge invariance and added some more reference

References in corpus (8)

• Low-Mass Dileptons at the CERN-SpS: Evidence for Chiral Restoration?
• Renormalization in Self-Consistent Approximations schemes at Finite Temperature I: Theory
• Resonance Transport and Kinetic Entropy
• Semiclassical transport of hadrons with dynamical spectral functions in A+A collisions at SIS/AGS energies
• Modifications of the Rho Meson from the Virtual Pion Cloud in Hot and Dense Matter
• Towards a test particle description of transport processes for states with continuous mass spectra
• Nonperturbative calculation of the shear viscosity in hot phi**4 theory in real time
• Off-shell effects on particle production

Cited by in corpus (17)

• Dilepton Radiation at the CERN Super Proton Synchrotron
• Renormalization in Self-Consistent Approximations schemes at Finite Temperature I: Theory
• Renormalization in Self-Consistent Approximation schemes at Finite Temperature III: Global Symmetries
• Renormalization of Self-consistent Approximation schemes Finite Temperature II: Applications to the Sunset Diagram
• Exact Conservation Laws of the Gradient Expanded Kadanoff-Baym Equations
• Pi+ Pi- Emission in High-Energy Nuclear Collisions
• Selfconsistent calculations of spectral densities in the O(N) model: improving the Hartree-Fock approximation by including nonzero decay widths
• Self-consistent description of vector-mesons in matter
• Non-perturbative finite $T$ broadening of the $\rho$ meson and dilepton emission in heavy ion-collisions
• Selfconsistent approximations, symmetries and choice of representation
• Reply to 'Comment on: 'Non-perturbative finite T broadening of the rho meson and dilepton emission in heavy ion-collisions''
• What does the rho-meson do? In-medium mass shift scenarios versus hadronic model calculations
• 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
• Dynamics of Resonances in Strongly Interacting Systems
• Pion damping width and pion spectral function in hot pion gas
• Pion damping width from SU(2) x SU(2) NJL model
• Selfconsistent descriptions of vector-mesons in hot matter revisited