Evaluating chiral symmetry restoration through the use of sum rules

Paul M. Hohler, Ralf Rapp, A. Badalà, M. Bleicher, L. Fabbietti, C. Markert, R.F. Rapp, J. Stroth
2012 EPJ Web of Conferences  
We pursue the idea of assessing chiral restoration via in-medium modifications of hadronic spectral functions of chiral partners. The usefulness of sum rules in this endeavor is illustrated, focusing on the vector and axial-vector channels. We first present an update on constructing quantitative results for pertinent vacuum spectral functions. These spectral functions serve as a basis upon which the in-medium spectral functions can be constructed. A striking feature of our analysis of the
more » ... spectral functions is the need to include excited resonances, dictated by satisfying the Weinberg-type sum rules. This includes excited states in both the vector and axial-vector channels. Preliminary results for the finite temperature vector spectral function are presented. Based on a rho spectral function tested in dilepton data which develops a shoulder at low energies, we find that the rho' peak flattens off. The flattening may be a sign of chiral restoration, though a study of the finite temperature axial-vector spectral function remains to be carried out.
doi:10.1051/epjconf/20123600012 fatcat:ghcw647hzbgfxc27wceax2mtnm