Abstract

Correlation functions provide information on the properties of mesons in vacuum and of hot nuclear matter. In this work, we present a new method to derive a well-defined spectral representation for correlation functions. Combining this method with the quark gap equation and the inhomogeneous Bethe–Salpeter equation in the rainbow-ladder approximation, we calculate in-vacuum masses of light mesons and the electrical conductivity of the quark–gluon plasma. The analysis can be extended to other observables of strong-interaction systems.

Highlights

  • Hadrons contribute to most of the visible matter in our real world and are undoubtedly an embodiment of dynamical chiral symmetry breaking (DCSB) and confinement

  • Current and future hadron physics facilities are focusing on hadron spectroscopy in order to shed light on the mysteries of quantum chromodynamics (QCD)

  • It is believed that the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) are able to create the quark–gluon plasma (QGP) state of the early Universe through a “mini-big bang”

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Summary

Introduction

Hadrons contribute to most of the visible matter in our real world and are undoubtedly an embodiment of dynamical chiral symmetry breaking (DCSB) and confinement. It is believed that the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) are able to create the quark–gluon plasma (QGP) state of the early Universe through a “mini-big bang” This provides us with the possibility to study quark–gluon dynamics directly and to enrich our understanding of the QCD phase diagram. The analytical structure of the quark propagator strongly depends on the specified truncation scheme and interaction model This may lead to technical difficulties in the study of light-quark hadrons with masses above 1 GeV and meson boundstates composed of one heavy and one light valence-quark. We calculate the masses of the π - and ρ-meson in vacuum and the electrical conductivity of the QGP with a single DSE interaction kernel Both the result for the electrical conductivity and the approach itself are essentially new

Meson correlation functions
Dyson–Schwinger equations
Extraction of observables
I II II π
Numerical results
Epilogue
Full Text
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