Chiral QCD sum rules for open charm mesons

TL;DR

This paper derives QCD sum rules for open-charm mesons at finite density and temperature, identifying condensates that signal chiral symmetry restoration through differences in chiral partner mesons.

Contribution

It introduces Weinberg-type sum rules for open-charm mesons, linking chiral partner mass differences to specific QCD condensates as potential order parameters.

Findings

Identifies condensates responsible for chiral partner mass splitting.

Derives sum rules applicable at nonzero density and temperature.

Highlights condensates as indicators of chiral symmetry restoration.

Abstract

QCD sum rules for chiral partners in the open-charm meson sector are presented at nonzero baryon net density or temperature. We focus on the differences between pseudo-scalar and scalar as well as vector and axial-vector D mesons and derive the corresponding Weinberg type sum rules. This allows for the identification of such QCD condensates which drive the non-degeneracy of chiral partners in lowest order of the strong coupling alpha_s and which therefore may serve as "order parameters" for chiral restoration (or elements thereof).