Chiral symmetry and the properties of hadrons in the Generalized Nambu—Jona-Lasinio model

Yu.S. Kalashnikova^a, b, A.V. Nefed’ev^a, c, b, J.E.F.T. Ribeiro^d
^aRussian Federation State Scientific Center ‘A.I. Alikhanov Institute of Theoretical and Experimental Physics’, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation
^bNational Research Nuclear University ‘MEPhI’, Kashirskoe shosse 31, Moscow, 115409, Russian Federation
^cMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
^dInstituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, Lisboa, 1049-001, Portugal

Various aspects of the Generalized Nambu—Jona-Lasinio model of QCD in four dimensions are reviewed. The properties of mesonic excitations are discussed in detail, with special attention to the chiral pion. The spontaneous chiral symmetry breaking in the vacuum and the effective chiral symmetry restoration in the spectrum of highly excited mesons and baryons are described microscopically.

Keywords: strong interactions, quantum chromodynamics, chiral symmetry, quark model, properties of hadrons, chiral pion
PACS: 12.38.Aw, 12.39.Ki, 12.39.Pn (all)
DOI: 10.3367/UFNe.2016.11.037966
URL: https://ufn.ru/en/articles/2017/7/b/
Web of Science

000412937700002
Scopus

2-s2.0-85031793464
ADS NASA

2017PhyU...60..667K
Citation: Kalashnikova Yu S, Nefed’ev A V, Ribeiro J E F T "Chiral symmetry and the properties of hadrons in the Generalized Nambu—Jona-Lasinio model" Phys. Usp. 60 667–693 (2017)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 16th, September 2016, revised: 18th, November 2016, accepted: 23rd, November 2016

Оригинал: Калашникова Ю С, Нефедьев А В, Рибейро Ж Э Ф Т «Киральная симметрия и свойства адронов в обобщённой модели Намбу—Иона-Лазинио» УФН 187 715–743 (2017); DOI: 10.3367/UFNr.2016.11.037966

References (115) Cited by (2) Similar articles (20) ↓

Yu.S. Kalashnikova, A.V. Nefediev “X(3872) in the molecular model” Phys. Usp. 62 568–595 (2019)
M.K. Volkov, A.B. Arbuzov “Meson production processes in electron—positron collisions and tau lepton decays within the extended Nambu—Jona-Lasinio model” Phys. Usp. 60 643–666 (2017)
D.S. Kuz’menko, Yu.A. Simonov, V.I. Shevchenko “Vacuum, confinement, and QCD strings in the vacuum correlator method” Phys. Usp. 47 1–15 (2004)
Yu.S. Kalashnikova, A.V. Nefed’ev “Two-dimensional QCD in the Coulomb gauge” Phys. Usp. 45 347–368 (2002)
M.A. Andreichikov, B.O. Kerbikov, Yu.A. Simonov “Hadron physics in magnetic fields” Phys. Usp. 62 319–339 (2019)
S.S. Gershtein, V.V. Kiselev et al “Physics of B_c-mesons” Phys. Usp. 38 1–37 (1995)
I.Yu. Kobzarev, B.V. Martem’yanov, M.G. Shchepkin “Orbitally excited hadrons” Sov. Phys. Usp. 35 (4) 257–275 (1992)
I.V. Andreev “Chromodynamics as a theory of the strong interaction” Sov. Phys. Usp. 29 971–979 (1986)
B.L. Ioffe “Chiral effective theory of strong interactions” Phys. Usp. 44 1211–1227 (2001)
V.V. Anisovich “Exotic mesons: the search for glueballs” Phys. Usp. 38 1179–1201 (1995)
G.V. Pakhlova, P.N. Pakhlov, S.I. Eidel’man “Exotic charmonium” Phys. Usp. 53 219–241 (2010)
A.A. Grib, E.V. Damaskinskii, V.M. Maksimov “The problem of symmetry breaking and in variance of the vacuum in quantum field theory” Sov. Phys. Usp. 13 798–815 (1971)
V.I. Zakharov “Lattice SU(2) theory projected on scalar particles” Phys. Usp. 47 37–44 (2004)
V.G. Bornyakov, M.I. Polikarpov et al “Color confinement and hadron structure in lattice chromodynamics” Phys. Usp. 47 17–35 (2004)
V.V. Kiselev, A.K. Likhoded “Baryons with two heavy quarks” Phys. Usp. 45 455–506 (2002)
M.A. Shifman “Anomalies and low-energy theorems of quantum chromodynamics” Sov. Phys. Usp. 32 289–309 (1989)
A.A. Bykov, I.M. Dremin, A.V. Leonidov “Potential models of quarkonium” Sov. Phys. Usp. 27 321–338 (1984)
V.A. Novikov “Nonperturbative QCD and supersymmetric QCD” Phys. Usp. 47 109–116 (2004)
Yu.A. Simonov “The confinement” Phys. Usp. 39 313–336 (1996)
M.B. Voloshin, Yu.M. Zaitsev “Physics of Υ resonances: ten years later” Sov. Phys. Usp. 30 553–574 (1987)

The list is formed automatically.