Issues

 / 

2001

 / 

December

  

Reviews of topical problems


Chiral effective theory of strong interactions


Russian Federation State Scientific Center A.I. Alikhanov Institute ofTheoretical and Experimental Physics, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

A review of chiral effective theory (CET) is presented. CET is based on quantum chromodynamics (QCD) and describes strong interaction processes at low energies. It is proved that CET arises as a consequence of the spontaneous violation of chiral symmetry in QCD — the appearance of chiral-symmetry-violating vacuum condensates. The Goldstone theorem is proved for the case of QCD, and the existence of the octet of massless Goldstone bosons (π, K, η) is demonstrated in the limit of massless u, d and s quarks (or the existence of the triplet of massless pions in the limit mu, md → 0). It is shown that the same phenomenon — the appearance of quark condensate in QCD — which is responsible for the Goldstone bosons also gives rise to chiral-symmetry-violating massive baryons. The general form of the CET Lagrangian is derived. Examples of higher order corrections to tree diagrams in CET are considered. The Wess-Zumino term (i.e., the p4 term in the CET Lagrangian) is given. Low energy sum rules are presented. QCD and CET at finite temperature are discussed. In the CET framework, the T2 correction to quark condensate in QCD is calculated at finite temperature, and results including higher order temperature corrections are presented. These results indicate on a phase transition to occur at T approx 150-200 MeV in QCD. The mixing of current correlators in order of T2 is proved.

Fulltext is available at IOP
PACS: 11.10.Wx, 12.38.−t, 12.39.Fe (all)
DOI: 10.1070/PU2001v044n12ABEH000972
URL: https://ufn.ru/en/articles/2001/12/a/
Citation: Ioffe B L "Chiral effective theory of strong interactions" Phys. Usp. 44 1211–1227 (2001)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

:    « » 171 1273–1290 (2001); DOI: 10.3367/UFNr.0171.200112a.1273

References (65) Cited by (13) Similar articles (20) ↓

  1. M.K. Volkov, A.B. Arbuzov “Meson production processes in electron—positron collisions and tau lepton decays within the extended Nambu—Jona-Lasinio model60 643–666 (2017)
  2. V.A. Novikov “Nonperturbative QCD and supersymmetric QCD47 109–116 (2004)
  3. V.A. Matveev, V.A. Rubakov et alNonconservation of baryon number under extremal conditions31 916–939 (1988)
  4. Yu.S. Kalashnikova, A.V. Nefed’ev, J.E.F.T. Ribeiro “Chiral symmetry and the properties of hadrons in the Generalized Nambu—Jona-Lasinio model60 667–693 (2017)
  5. I.I. Roizen, E.L. Feinberg, O.D. Chernavskaya “Color deconfinement and subhadronic matter: phase states and the role of constituent quarks47 427–446 (2004)
  6. N.N. Achasov, G.N. Shestakov “Light scalar mesons in photon—photon collisions54 799–828 (2011)
  7. S.I. Blinnikov, A.D. Dolgov “Cosmological acceleration62 529–567 (2019)
  8. V.G. Bornyakov, M.I. Polikarpov et alColor confinement and hadron structure in lattice chromodynamics47 17–35 (2004)
  9. V.G. Makhan’kov, Yu.P. Rybakov, V.I. Sanyuk “The Skyrme model and strong interactions (On the 30th anniversary of the creation of the Skyrme model)35 (2) 55–84 (1992)
  10. A.B. Kaidalov “Pomeranchuk singularity and high-energy hadronic interactions46 1121–1136 (2003)
  11. A.V. Leonidov “Dense gluon matter in nuclear collisions48 323–343 (2005)
  12. D.S. Kuz’menko, Yu.A. Simonov, V.I. Shevchenko “Vacuum, confinement, and QCD strings in the vacuum correlator method47 1–15 (2004)
  13. E.E. Boos, O. Brandt et alThe top quark (20 years after the discovery)58 1133–1158 (2015)
  14. B.M. Barbashov, V.V. Nesterenko “Superstrings: a new approach to a unified theory of fundamental interactions29 1077–1096 (1986)
  15. B.L. Ioffe “Weak interactions at short distances16 459–484 (1974)
  16. I.M. Dremin “Multiparticle production and quantum chromodynamics45 507–525 (2002)
  17. V.V. Anisovich, M.N. Kobrinskii et alAdditive quark model and multiple production of hadrons27 901–926 (1984)
  18. V.V. Anisovich “Systematics of quark-antiquark states and scalar exotic mesons47 45–67 (2004)
  19. V.V. Anisovich “The lightest scalar glueball41 419–439 (1998)
  20. L.N. Lipatov “Integrability properties of high energy dynamics in the multi-color QCD47 325–339 (2004)

The list is formed automatically.

© 1918–2020 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions