2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197666QCD sum rules are evaluated at finite nucleon densities and temperatures to determine the change of mass parameters for the lightest vector mesons $ρ$, $ω$ and $ϕ$ in a strongly interacting medium. For conditions relevant for the starting experiments at HADES we find that the in-medium mass shifts of the $ρ$ and $ω$ mesons are governed, within the Borel QCD sum rule approach, by the density and temperature dependence of the four-quark condensate. In particular, the variation of the strength of the density dependence of the four-quark condensate reflects directly the decreasing mass of the $ρ$ meson and can lead to a change of the sign of the $ω$ meson mass shift as a function of the density. In contrast, the in-medium mass of the $ϕ$ meson is directly related to the chiral strange quark condensate which seems correspondingly accessible.Nuclear TheoryEvaluation of QCD sum rules for light vector mesons at finite density and temperaturetext