Subtracted Dispersion Relations for In-Medium Meson Correlators in QCD Sum Rules

Abstract

We analyze subtracted dispersion relations for meson correlators at finite baryon density and temperature. Such relations are needed for QCD sum rules. We point out the importance of scattering terms, as well as finite, well-defined subtraction constants. Both are necessary for consistency, in particular for the equality of the longitudinal and transverse correlators in the limit of the vanishing three-momentum of mesons relative to the medium. We present detailed calculations in various mesonic channels for the case of the Fermi gas of nucleons.

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Cited by in corpus (7)

• QCD sum rule analysis for light vector and axial-vector mesons in vacuum and nuclear matter
• In-medium spectral change of omega mesons as a probe of QCD four-quark condensate
• Light vector meson masses in strange hadronic matter -- a QCD sum rule approach
• Light vector mesons ($\omega$, $\rho$ and $\varphi$) in strong magnetic fields: A QCD sum rule approach
• Rho - Omega Splitting and Mixing in Nuclear Matter
• Finite-width QCD sum rules for rho and omega mesons
• rho -> pi pi decay in nuclear medium