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

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.

Comments: 5 pages, 3 figures; contribution to the proceedings of the FAIR next generation scientists workshop (FAIRNESS), 6th edition, 20-24 May 2019, Arenzano, Italy