Abstract
In-medium sum rules following from the chiral charge algebra of QCD are reviewed, and new sum rules are derived. The new sum rules relate the I g (J pc ) = 1 −(0 ++) excitations (quantum numbers of a 0(980)) to the scalar and isovector densities, and are non-trivial for the isospin-asymmetric medium. We present an extensive illustration of the sum rules with the help of quark matter in the Nambu-Jona-Lasinio model. Collective excitations different from the usual meson branches (spin-isospin sound modes) are shown to contribute significantly to the sum rules and to play a crucial role in the limit of vanishing current quark masses.
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