Soliton Models of Hadrons

  • P. Vinciarelli
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 15/1976)


Conventional perturbation theory has provided the foundations and the basic tool in the application of field theory to the weak interactions of leptons. While it is hoped that field theory will also eventually yield a unified and complete description of hadron physics, it is as yet unclear which field theory one should take and what the best point of attack to such a theory should be. The impressive success of the quark model would favor the identification of quarks with the underlying constituents of hadronic matter and the unquestioned success of the principle of local gauge invariance would then lead to the choice of a field theory of quarks and gauge fields. An esthetical difficulty facing this approach is the relationship between quarks and leptons or, better, the lack of it, and a practical problem is the present day unobservability of quarks and gauge mesons as independent entities. One could speculate that these two problems will actually solve each other, e.g., by the identification of quarks with leptons, but such interesting options appear for the moment to be unfeasible. Inevitably, quark confinement (even if temporary, i.e.,to be followed by quark liberation at higher energies) presents itself as an important aspect of hadron dynamics.


Coherent State Soliton Solution Weak Coupling Limit Hamiltonian Density Model Field Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    For a review see A. Scott, F. Chu and D. Mc Laughlin, Proc. IEEE 61, 1443 (1974).MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    G.E. Derrick, J. Math. Phys. 5, 1252 (1964).MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    For alternative approaches to soliton quantization see: R. Dashen, B. Hasslacher and A. Neveu, Phys.Rev. D10, 4114; 4130; 4138 (1974). J. Goldstone and R. Jackiw, Phys. Rev. D11, 1486 (1974) N. Christ and T.D. Lee, Columbia Univ. Preprint; J.-L.Gervais and B.Sakita, Phys. Rev. D 11, 2943 (1975) C. Callan and D.Gross, Nucl. Phys. B93, 29 (1975); V.E. Korepin, P.P. Kulish and L.Fadeev, JETP Lett. 21, 139 (1975); E. Tomboulis, MIT preprint; A. Klein and A. Krejs, Univ. of Penn. preprint.Google Scholar
  4. 4.
    P. Vinciarelli, “Effective potential approach to the quantum scattering of solitons”, Physics Letters in press.Google Scholar
  5. 5.
    For a different derivation, see W. Troost, CERN preprint.Google Scholar
  6. 6.
    S. Coleman, Phys. Rev. D 11, 2o88 (1975) and references therein.Google Scholar
  7. 7.
    P. Vinciarelli, “Solitons in gauge theories of vector and spinor fields”, Physics Letters in press; W. Troost and P. Vinciarelli, “Color singlet solitons in SU(3) gauge theory of vector and spinor fields”, CERN preprint No. 2162.Google Scholar
  8. 8.
    P. Vinciarelli, Lett, al Nuovo Cimento 4, 9o5 (1972).CrossRefGoogle Scholar
  9. 9.
    A. Chodos et al., Phys. Rev. D 9, 3471 (1974).MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    M. Creutz, Phys. Rev. D 10, 1749 (1974).CrossRefGoogle Scholar
  11. 11.
    W. A. Bardeen et al., Phys. Rev. D 11, lo94 (1975).MathSciNetGoogle Scholar
  12. 12.
    P. Vinciarelli, Nuclear Phys. B 89, 463 (1975).Google Scholar
  13. 13.
    P. Vinciarelli, Nuclear Phys. B 89, 493 (1975).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • P. Vinciarelli
    • 1
  1. 1.CERNGeneveSwitzerland

Personalised recommendations