{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:54:39Z","timestamp":1760057679279,"version":"build-2065373602"},"reference-count":74,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T00:00:00Z","timestamp":1739923200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>We present a theoretical framework that allows one to make an explicit connection between the phenomenology of QCD, namely the properties of the gluon correlator and Wilson loops, and a particular relativistic model for the description of nuclear matter and neutron stars: the chiral confining model. Starting with the field correlator method, which explicitly and simultaneously incorporates confinement and chiral symmetry breaking, we describe how to obtain the response of the composite nucleon to the nuclear scalar field, as well as the relative role of confinement and chiral symmetry breaking in in-medium nucleon mass evolution, thereby generating the three-body forces needed for the saturation mechanism.<\/jats:p>","DOI":"10.3390\/sym17020313","type":"journal-article","created":{"date-parts":[[2025,2,19]],"date-time":"2025-02-19T09:36:22Z","timestamp":1739957782000},"page":"313","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["From QCD Phenomenology to Nuclear Physics Phenomenology: The Chiral Confining Model"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3593-9507","authenticated-orcid":false,"given":"Guy","family":"Chanfray","sequence":"first","affiliation":[{"name":"IP2I Lyon, University Claude Bernard Lyon 1, CNRS\/IN2P3, UMR 5822, 69622 Villeurbanne, France"}]},{"given":"Magda","family":"Ericson","sequence":"additional","affiliation":[{"name":"IP2I Lyon, University Claude Bernard Lyon 1, CNRS\/IN2P3, UMR 5822, 69622 Villeurbanne, France"},{"name":"Theory Division, CERN, CH-12111 Geneva, Switzerland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8879-3612","authenticated-orcid":false,"given":"Hubert","family":"Hansen","sequence":"additional","affiliation":[{"name":"IP2I Lyon, University Claude Bernard Lyon 1, CNRS\/IN2P3, UMR 5822, 69622 Villeurbanne, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8743-3092","authenticated-orcid":false,"given":"J\u00e9r\u00f4me","family":"Margueron","sequence":"additional","affiliation":[{"name":"International Research Laboratory on Nuclear Physics and Astrophysics, Michigan State University and CNRS, East Lansing, MI 48824, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4823-639X","authenticated-orcid":false,"given":"Marco","family":"Martini","sequence":"additional","affiliation":[{"name":"IPSA-DRII, 63 Boulevard de Brandebourg, 94200 Ivry-sur-Seine, France"},{"name":"CNRS\/IN2P3, Laboratoire de Physique Nucl\u00e9aire et de Hautes Energies (LPNHE), Sorbonne Universit\u00e9, 75005 Paris, France"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,19]]},"reference":[{"key":"ref_1","first-page":"055202","article-title":"Chiral symmetry and quantum hadrodynamics","volume":"63","author":"Chanfray","year":"2001","journal-title":"Phys. Rev."},{"key":"ref_2","first-page":"1","article-title":"The Relativistic Nuclear Many-Body Problem","volume":"16","author":"Serot","year":"1986","journal-title":"Adv. Nucl. Phys."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1142\/S0218301397000299","article-title":"Recent Progress in Quantum Hadrodynamics","volume":"6","author":"Serot","year":"1997","journal-title":"Int. J. Mod. Phys."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1140\/epja\/i2005-10245-5","article-title":"Two-pion production processes, chiral symmetry and NN interaction in the medium","volume":"27","author":"Chanfray","year":"2006","journal-title":"Eur. Phys. J."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1140\/epja\/i2005-10074-6","article-title":"QCD susceptibilities and nuclear-matter saturation in a relativistic chiral theory","volume":"25","author":"Chanfray","year":"2005","journal-title":"Eur. Phys. J."},{"key":"ref_6","first-page":"015206","article-title":"QCD susceptibilities and nuclear matter saturation in a chiral theory: Inclusion of pion loops","volume":"75","author":"Chanfray","year":"2007","journal-title":"Phys. Rev."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1140\/epja\/i2007-10498-x","article-title":"Constraints on nuclear-matter properties from QCD susceptibilities","volume":"34","author":"Ericson","year":"2007","journal-title":"Eur. Phys. J."},{"key":"ref_8","first-page":"015204","article-title":"Relativistic chiral Hartree-Fock description of nuclear matter with constraints from nucleon structure and confinement","volume":"78","author":"Massot","year":"2008","journal-title":"Phys. Rev."},{"key":"ref_9","first-page":"015202","article-title":"Relativistic calculation of the pion loop correlation energy in nuclear matter in a theory including confinement","volume":"80","author":"Massot","year":"2009","journal-title":"Phys. Rev."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"39002","DOI":"10.1209\/0295-5075\/97\/39002","article-title":"On the maximum mass of hyperonic neutron stars","volume":"97","author":"Massot","year":"2012","journal-title":"Europhys. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1140\/epja\/s10050-022-00733-7","article-title":"Comparison of different relativistic models applied to dense nuclear matter","volume":"58","author":"Somasundaram","year":"2022","journal-title":"Eur. Phys. J."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1140\/epja\/s10050-023-01089-2","article-title":"Relativistic Hartree-Fock Chiral Lagrangians with confinement, nucleon finite size and short-range effects","volume":"59","author":"Chamseddine","year":"2023","journal-title":"Eur. Phys. J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1140\/epja\/s10050-024-01358-8","article-title":"Hartree-Fock Lagrangians with a Nambu\u2013Jona\u2013Lasino scalar potential","volume":"60","author":"Chamseddine","year":"2024","journal-title":"Eur. Phys. J."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Chanfray, G., Ericson, M., and Martini, M. (2023). The Interrelated Roles of Correlations in the Nuclear Equation of State and in Response Functions: Application to a Chiral Confining Theory. Universe, 9.","DOI":"10.3390\/universe9070316"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1140\/epja\/s10050-023-01221-2","article-title":"Scalar field, nucleon structure and relativistic chiral theory for nuclear matter","volume":"60","author":"Chanfray","year":"2024","journal-title":"Eur. Phys. J."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0370-2693(88)90762-9","article-title":"A possible quark mechanism for the saturation of nuclear matter","volume":"200","author":"Guichon","year":"1988","journal-title":"Phys. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"132502","DOI":"10.1103\/PhysRevLett.93.132502","article-title":"Quark Structure and Nuclear Effective Forces","volume":"93","author":"Guichon","year":"2004","journal-title":"Phys. Rev. Lett."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.nuclphysa.2006.04.002","article-title":"Physical origin of density dependent forces of Skyrme type within the quark meson coupling model","volume":"772","author":"Guichon","year":"2006","journal-title":"Nucl. Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"092501","DOI":"10.1103\/PhysRevLett.116.092501","article-title":"Finite Nuclei in the Quark-Meson Coupling Model","volume":"116","author":"Stone","year":"2016","journal-title":"Phys. Rev. Lett."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1016\/0370-2693(83)90617-2","article-title":"A saturating chiral field theory of nuclear matter","volume":"120","author":"Boguta","year":"1983","journal-title":"Phys. Lett."},{"key":"ref_21","unstructured":"Kerman, A.K., and Miller, L.D. (1974). Second High Energy Heavy Ion Summer Study, LBL-3675."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1016\/S0375-9474(01)01119-8","article-title":"The stability of nuclear matter in the Nambu\u2013Jona-Lasinio model","volume":"696","author":"Bentz","year":"2001","journal-title":"Nucl. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"C76","DOI":"10.1016\/S0375-9474(03)01019-4","article-title":"Theoretical approaches to hadrons in nuclear matter","volume":"721","author":"Chanfray","year":"2003","journal-title":"Nucl. Phys."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Leinweber, D.B., Thomas, A.W., and Young, R.D. (2003). Physical Nucleon Properties from Lattice QCD. arXiv.","DOI":"10.1103\/PhysRevLett.92.242002"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"242002","DOI":"10.1103\/PhysRevLett.92.242002","article-title":"Physical Nucleon Properties from Lattice QCD","volume":"92","author":"Leinweber","year":"2004","journal-title":"Phys. Rev. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1143\/PTPS.156.124","article-title":"Towards a connection between nuclear structure and QCD","volume":"156","author":"Thomas","year":"2004","journal-title":"Progr. Theor. Phys. Suppl."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.nuclphysa.2010.03.012","article-title":"An analysis of the nucleon spectrum from lattice partially-quenched QCD","volume":"840","author":"Armour","year":"2010","journal-title":"Nucl. Phys."},{"key":"ref_28","first-page":"034010","article-title":"Power counting regime of chiral effective field theory and beyond","volume":"82","author":"Hall","year":"2010","journal-title":"Phys. Rev."},{"key":"ref_29","first-page":"015204","article-title":"Scalar fields in nuclear matter: The roles of spontaneous chiral symmetry breaking and nucleon structure","volume":"83","author":"Chanfray","year":"2011","journal-title":"Phys. Rev."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1140\/epja\/s10050-023-01179-1","article-title":"Constraints on the in-medium nuclear interaction from chiral symmetry and lattice-QCD","volume":"59","author":"Chanfray","year":"2023","journal-title":"Eur. Phys. J."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1143\/PTP.17.360","article-title":"Pion Theory of Three-Body Forces","volume":"17","author":"Fujita","year":"1957","journal-title":"Prog. Theor. Phys."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0375-9474(69)90068-2","article-title":"Three-body forces in nuclear matter","volume":"137","author":"Brown","year":"1969","journal-title":"Nucl. Phys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1016\/0375-9474(79)90462-7","article-title":"The two-pion-exchange three-nucleon potential and nuclear matter","volume":"317","author":"Coon","year":"1979","journal-title":"Nucl. Phys."},{"key":"ref_34","first-page":"1812","article-title":"Two-pion-exchange three-nucleon force and the 3H and 3He nuclei","volume":"28","author":"Coelho","year":"1983","journal-title":"Phys. Rev."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1016\/0375-9474(86)90530-0","article-title":"Taming the two-pion exchange three-nucleon potential","volume":"460","author":"Robilotta","year":"1986","journal-title":"Nucl. Phys."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2011.02.001","article-title":"Chiral effective field theory and nuclear forces","volume":"503","author":"Machleidt","year":"2011","journal-title":"Phys. Rep."},{"key":"ref_37","first-page":"2069","article-title":"Theory of light quarks in the confining vacuum","volume":"60","author":"Simonov","year":"1997","journal-title":"Phys. At. Nucl."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s006010050093","article-title":"Chiral-Symmetry Breaking and Confinement in the Heavy-Light System","volume":"25","author":"Simonov","year":"1998","journal-title":"Few-BodySyst."},{"key":"ref_39","first-page":"094018","article-title":"Chiral Lagrangian with confinement from the QCD Lagrangian","volume":"65","author":"Simonov","year":"2002","journal-title":"Phys. Rev."},{"key":"ref_40","first-page":"014501","article-title":"String formation and chiral symmetry breaking in the heavy light quark - anti-quark system in QCD","volume":"62","author":"Simonov","year":"2000","journal-title":"Phys. Rev."},{"key":"ref_41","first-page":"094013","article-title":"Baryon magnetic moments in the effective quark Lagrangian approach","volume":"65","author":"Simonov","year":"2002","journal-title":"Phys. Rev."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1134\/1.1707145","article-title":"Resolution of the pion puzzle: The QCD string in Nambu-Goldstone mesons","volume":"67","author":"Simonov","year":"2004","journal-title":"Phys. At. Nucl."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1134\/1.1755394","article-title":"New spectral representation and evaluation of f \u03c0 and the quark condensate \u2329q\u00afq\u232a in the terms of string tension","volume":"67","author":"Simonov","year":"2004","journal-title":"Phys. At. Nucl."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"165016","DOI":"10.1142\/S0217751X16501049","article-title":"Chiral Lagrangian and chiral quark model from confinement in QCD","volume":"31","author":"Simonov","year":"2016","journal-title":"Int. Mod. Phys."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1016\/S0370-1573(02)00140-0","article-title":"Field correlators in QCD: Theory and applications","volume":"372","author":"Giacomo","year":"2002","journal-title":"Phys. Rep."},{"key":"ref_46","first-page":"056012","article-title":"Field correlator method for the confinement in QCD","volume":"99","author":"Simonov","year":"2019","journal-title":"Phys. Rev."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1811","DOI":"10.1103\/PhysRevLett.85.1811","article-title":"Casimir scaling as a test of QCD vacuum","volume":"85","author":"Shevchenko","year":"2000","journal-title":"Phys. Rev. Lett."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1016\/S0370-2693(98)01220-9","article-title":"Confinement and chiral symmetry breaking in heavy-light quark systems","volume":"442","author":"Bicudo","year":"1998","journal-title":"Phys. Lett."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"667","DOI":"10.3367\/UFNe.2016.11.037966","article-title":"Chiral symmetry and the properties of hadrons in the generalized Nambu-Jona-Lasinio model","volume":"60","author":"Kalashnikova","year":"2017","journal-title":"Phys. Usp."},{"key":"ref_50","first-page":"291","article-title":"Ground-state baryon masses in an equally mixed scalar-vector linear potential model","volume":"55","author":"Jena","year":"1997","journal-title":"Phys. Rev."},{"key":"ref_51","first-page":"3369","article-title":"pi- and K-meson Bethe-Salpeter Amplitudes","volume":"56","author":"Maris","year":"1997","journal-title":"Phys. Rev."},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Greensite, J. (2011). An Introduction to the Confinement Problem, Springer. Chapter 10.","DOI":"10.1007\/978-3-642-14382-3"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"1199","DOI":"10.1103\/PhysRevLett.57.1199","article-title":"Derivative Expansion for the One-Loop Effective Actions with Internal Symmetry","volume":"57","author":"Chan","year":"1986","journal-title":"Phys. Rev. Lett."},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1016\/0375-9474(96)00033-4","article-title":"The role of nucleon structure in finite nuclei","volume":"601","author":"Guichon","year":"1996","journal-title":"Nucl. Phys."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1016\/j.ppnp.2018.01.008","article-title":"Quark\u2013Meson-Coupling (QMC) model for finite nuclei, nuclear matter and beyond","volume":"100","author":"Guichon","year":"2018","journal-title":"Progr. Part. Nucl. Phys."},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/S0375-9474(98)00615-0","article-title":"Pion interaction in nuclear matter and chiral symmetry restoration","volume":"646","author":"Chanfray","year":"1999","journal-title":"Nucl. Phys."},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"8708","DOI":"10.4249\/scholarpedia.8708","article-title":"Chiral perturbation theory","volume":"7","author":"Leutwyler","year":"2012","journal-title":"Scholarpedia"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s100500070111","article-title":"Pion scalar density and chiral symmetry restoration at finite temperature and density","volume":"8","author":"Chanfray","year":"2000","journal-title":"Eur. Phys. J."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/0370-2693(87)90492-8","article-title":"Light Quarks at Low Temperatures","volume":"184","author":"Gasser","year":"1987","journal-title":"Phys. Lett."},{"key":"ref_60","first-page":"024331","article-title":"Contribution of the \u03c1 meson and quark substructure to the nuclear spin-orbit potential","volume":"102","author":"Chanfray","year":"2020","journal-title":"Phys. Rev."},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"39c","DOI":"10.1016\/0375-9474(81)90305-5","article-title":"The Future of Electronuclear and Photonuclear Physics","volume":"358","author":"Brown","year":"1981","journal-title":"Nucl. Phys."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1103\/RevModPhys.64.649","article-title":"The Nambu\u2014Jona-Lasinio model of quantum chromodynamics","volume":"64","author":"Klevansky","year":"1992","journal-title":"Rev. Mod. Phys."},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"640","DOI":"10.1016\/0375-9474(82)90434-1","article-title":"Quark bag coupling to finite size pions","volume":"389","author":"Kam","year":"1982","journal-title":"Nucl. Phys."},{"key":"ref_64","unstructured":"Simonov, Y.A. (1999). Dynamical equations for mesons and baryons in large N(c) QCD. arXiv."},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/0370-2693(83)91223-6","article-title":"On the axial charge and other static properties of the quark core in nucleons","volume":"125","author":"Tegen","year":"1983","journal-title":"Phys. Lett."},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1140\/epjc\/s10052-019-6572-3","article-title":"Revisiting the mechanical properties of the nucleon","volume":"79","author":"Moutarde","year":"2019","journal-title":"Eur. Phys. J."},{"key":"ref_67","first-page":"096017","article-title":"Hard-core deconfinement and soft-surface delocalization from nuclear to quark matter","volume":"102","author":"Fukushima","year":"2020","journal-title":"Phys. Rev."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/0550-3213(81)90258-3","article-title":"Quantum chromodynamics as dynamics of loops","volume":"188","author":"Makeenko","year":"1981","journal-title":"Nucl. Phys."},{"key":"ref_69","first-page":"173","article-title":"Correlation length of the vacuum condensate in lattice gauge theories","volume":"25","author":"Campostrini","year":"1984","journal-title":"Phys."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/0370-2693(87)90863-X","article-title":"Gluon condensate and effective linear potential","volume":"190","author":"Dosch","year":"1987","journal-title":"Phys. Lett."},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/0146-6410(94)90044-2","article-title":"Nonperturbative methods in quantum chromodynamics","volume":"33","author":"Dosch","year":"1994","journal-title":"Prog. Part. Nucl. Phys."},{"key":"ref_72","doi-asserted-by":"crossref","unstructured":"Donnachie, S., Dosch, G., Landshoff, P., and Nachtmann, O. (2002). Pomeron Physics and QCD, Cambridge University Press.","DOI":"10.1017\/CBO9780511534935"},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"414","DOI":"10.1016\/S0370-2693(99)00221-X","article-title":"Field strength correlators in QCD: New fits to the lattice data","volume":"451","author":"Meggiolaro","year":"1999","journal-title":"Phys. Lett."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"0012013","DOI":"10.1007\/s10582-001-0047-z","article-title":"Topics in Non-Perturbative QCD","volume":"51","author":"Giacomo","year":"2001","journal-title":"Czech. J. Phys."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/2\/313\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T16:38:06Z","timestamp":1760027886000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/17\/2\/313"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,19]]},"references-count":74,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025,2]]}},"alternative-id":["sym17020313"],"URL":"https:\/\/doi.org\/10.3390\/sym17020313","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2025,2,19]]}}}