# Quark and gluon condensates in nuclear matter

## 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 {sigma} 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--Levy models. Treatments of nuclear matter based on hadronic degrees of freedom are also considered, and the uncertainties are discussed.

- Authors:

- (Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742 (United States))

- Publication Date:

- OSTI Identifier:
- 7044028

- Alternate Identifier(s):
- OSTI ID: 7044028

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review, C (Nuclear Physics); (United States)

- Additional Journal Information:
- Journal Volume: 45:4; Journal ID: ISSN 0556-2813

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEAR MATTER; GLUON CONDENSATION; QUARK CONDENSATION; CHIRAL SYMMETRY; DENSITY; FEYNMAN-GELL-MANN THEORY; MEAN-FIELD THEORY; NUCLEONS; QUANTUM CHROMODYNAMICS; SUM RULES; BARYONS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD THEORIES; HADRONS; MATTER; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; SYMMETRY 663120* -- Nuclear Structure Models & Methods-- (1992-)

### Citation Formats

```
Cohen, T.D., Furnstahl, R.J., and Griegel, D.K..
```*Quark and gluon condensates in nuclear matter*. United States: N. p., 1992.
Web. doi:10.1103/PhysRevC.45.1881.

```
Cohen, T.D., Furnstahl, R.J., & Griegel, D.K..
```*Quark and gluon condensates in nuclear matter*. United States. doi:10.1103/PhysRevC.45.1881.

```
Cohen, T.D., Furnstahl, R.J., and Griegel, D.K.. Wed .
"Quark and gluon condensates in nuclear matter". United States. doi:10.1103/PhysRevC.45.1881.
```

```
@article{osti_7044028,
```

title = {Quark and gluon condensates in nuclear matter},

author = {Cohen, T.D. and Furnstahl, R.J. and Griegel, D.K.},

abstractNote = {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 {sigma} 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--Levy models. Treatments of nuclear matter based on hadronic degrees of freedom are also considered, and the uncertainties are discussed.},

doi = {10.1103/PhysRevC.45.1881},

journal = {Physical Review, C (Nuclear Physics); (United States)},

issn = {0556-2813},

number = ,

volume = 45:4,

place = {United States},

year = {1992},

month = {4}

}