Is Rho-Meson Melting Compatible with Chiral Restoration?

Abstract

Utilizing in-medium vector spectral functions which describe dilepton data in ultra-relativistic heavy-ion collisions, we conduct a comprehensive evaluation of QCD and Weinberg sum rules at finite temperature. The starting point is our recent study in vacuum, where the sum rules have been quantitatively satisfied using phenomenological axial-/vector spectral functions which describe hadronic tau-decay data. In the medium, the temperature dependence of condensates and chiral order parameters is taken from thermal lattice QCD where available, and otherwise estimated from a hadron resonance gas. Since little is known about the in-medium axial-vector spectral function, we model it with a Breit-Wigner ansatz allowing for smooth temperature variations of its width and mass parameters. Our study thus amounts to testing the compatibility of the $\rho$-broadening found in dilepton experiments with (the approach toward) chiral restoration, and thereby searching for viable in-medium axial-vector spectral functions.

8 pages, 4 figures, updated to be consistent with published version

References in corpus (10)

• The chiral and deconfinement aspects of the QCD transition
• NA60 results on thermal dimuons
• Modification of the rho meson detected by low-mass electron-positron pairs in central Pb-Au collisions at 158 A GeV/c
• The lowest-lying baryon masses in covariant SU(3)-flavor chiral perturbation theory
• Chiral QCD sum rules for open charm mesons
• The STAR Dilepton Physics Program
• Four-quark condensates and chiral symmetry restoration in a resonance gas model
• Sum rule analysis of vector and axial-vector spectral functions with excited states in vacuum
• Quantitative sum rule analysis of low-temperature spectral functions
• Update on Chiral Symmetry Restoration in the Context of Dilepton Data

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