Mesons at finite chemical potential and the Silver-Blaze property of QCD

TL;DR

This paper investigates the behavior of light mesons at finite chemical potential in QCD, confirming the Silver-Blaze property and analyzing meson properties through Dyson-Schwinger and Bethe-Salpeter equations.

Contribution

It provides a detailed analysis of meson properties at finite chemical potential using Dyson-Schwinger and Bethe-Salpeter equations, confirming the Silver-Blaze property in this context.

Findings

Meson masses and decay constants are extracted up to the phase transition.

The Silver-Blaze property is confirmed for light mesons.

Meson wave functions are characterized at finite chemical potential.

Abstract

We summarize our results for light (pseudo-)scalar mesons at finite chemical potential and vanishing temperature. We extract the meson bound state wave functions, masses, and decay constants up to the first-order phase transition from the homogeneous Bethe-Salpeter equation and confirm the validity of the Silver-Blaze property. For this purpose, we solve a coupled set of truncated Dyson-Schwinger equations for the quark and gluon propagators of QCD in Landau gauge.