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

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

1999-01-22

arxiv.org/abs/nucl-th/9901059v1

Nucl.Phys. A651 (1999) 397-410

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1016/S0375-9474(99)00145-1

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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