Semiclassical Quantization Methods in Field Theory

  • A. Neveu
Part of the Studies in the Natural Sciences book series (SNS, volume 10)


This is an overview of the semiclassical WKB method which has been developed by R. DASHEN, B. HASSLACHER and myself in Ref. 1 and which can be applied to finding solutions to field theories which are inaccessible to perturbation techniques.


Particle Spectrum Antisymmetrical Tensor Doublet State Thirring Model Soliton Mass 
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  1. 1.
    R. DASHEN, B. HASSLACHER, and A. NEVEU, Phys. Rev. D10, 4114, 4130, 4138 (1974), D11, in press, and IAS preprint COO 2220–46 (May 1975). For a review and more explicit details, see R. RAJARAMAN, Physics Reports, to be published.Google Scholar
  2. 2.
    J. GOLDSTONE, and R. JACKIW, Phys. Rev. D11, 1486 (1975)Google Scholar
  3. J.L. GERVAIS and B. SAKITA, Phys. Rev. D11, 2943 (1975)Google Scholar
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  5. 3.
    There is a considerable literature on the sine-Gordon equation. A review of this and related equations is given in A. SCOTT, F. CHU and D. Mc LAUGHLIN, Proceedings of the IEEE, 61, 1443 (1973). See also L. FADDEEV and L. TAKHTAJAN Theor. and Math. Phys. 21, 160 (1974) and 22 (in press).Google Scholar
  6. 4.
    L. FADDEEV, IAS preprint: “Quantum theory of solitons” and references therein.Google Scholar
  7. 5.
    S. COLEMAN, Phys. Rev. D11, 2088 (1975).Google Scholar
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    D. GROSS and A. NEVEU, Phys. Rev. D10, 3235 (1974).Google Scholar
  9. 7.
    Private communicationGoogle Scholar
  10. 8.
    J. SCHONFELD, Princeton University preprint (1975).Google Scholar

Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • A. Neveu
    • 1
  1. 1.California Instititute of Technology and The Institute for Advanced StudyPrincetonUSA

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