Quark and gluon condensates in nuclear matter
- 1 April 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 45 (4), 1881-1893
- https://doi.org/10.1103/physrevc.45.1881
Abstract
Quark and gluon condensates in nuclear matter are studied. These in-medium condensates may be linked to a wide range of nuclear phenomena and are important inputs to QCD sum-rule calculations at finite density. The Hellmann-Feynman theorem yields a prediction of the quark condensate that is model independent to first order in the nucleon density. This linear density dependence, with slope determined by the nucleon σ term, implies that the quark condensate is reduced considerably at nuclear matter saturation density—it is roughly 25–50 % smaller than the vacuum value. The trace anomaly and the Hellmann-Feynman theorem lead to a prediction of the gluon condensate that is model independent to first order in the nucleon density. At nuclear matter saturation density, the gluon condensate is about 5% smaller than the vacuum value. Contributions to the in-medium quark condensate that are of higher order in the nucleon density are estimated with mean-field quark-matter calculations using the Nambu–Jona-Lasinio and Gell-Mann–Lévy models. Treatments of nuclear matter based on hadronic degrees of freedom are also considered, and the uncertainties are discussed.Keywords
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