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Title: 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:
; ;  [1]
  1. (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}
}