Validity of the Silver-Blaze property for QCD at finite chemical potential (Vol. 51, No. 1)
The properties of the theory of strong interactions, QCD, at finite chemical potential are of great interest for at least two reasons: (i) model studies suggest a potentially rich landscape of different phases with highly interesting analogies to those found in solid state physics; (ii) the resulting thermodynamic properties have far reaching consequences for the physics of neutron stars and neutron star mergers. Investigating the properties of light scalar and pseudo-scalar quark-antiquark bound states at finite chemical potential by solving coupled sets of Dyson-Schwinger equations , the meson masses, wave functions, and decay constants are computed, as well as changes in the quark dressing functions for chemical potentials below the first-order chiral phase transition while tracing charge-conjugation parity breaking. Eventually, we confirm the validity of the Silver-Blaze property: in observables all dependencies of colored quantities (propagators, wave-functions, etc.) on chemical potential cancel out and we observe constant masses and decay constants up to and into the coexistence region of the first-order chiral phase transition.
Pascal J. Gunkela, Christian S. Fischerb, and Philipp Isserstedtc, Quarks and light (pseudo-)scalar mesons at ﬁnite chemical potential, Eur. Phys. J. A 55, 169 (2019)