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Semiclassical Quantization Methods in Field Theory

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New Pathways in High-Energy Physics I

Part of the book series: Studies in the Natural Sciences ((SNS,volume 10))

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Abstract

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.

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References

  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.

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  2. J. GOLDSTONE, and R. JACKIW, Phys. Rev. D11, 1486 (1975)

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  3. J.L. GERVAIS and B. SAKITA, Phys. Rev. D11, 2943 (1975)

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  4. C. CALLAN and D. GROSS, Nucl. Phys. B93, 29 (1975).

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  5. 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).

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  6. L. FADDEEV, IAS preprint: “Quantum theory of solitons” and references therein.

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  7. S. COLEMAN, Phys. Rev. D11, 2088 (1975).

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  8. D. GROSS and A. NEVEU, Phys. Rev. D10, 3235 (1974).

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  9. Private communication

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  10. J. SCHONFELD, Princeton University preprint (1975).

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Author information

Authors and Affiliations

  1. California Instititute of Technology and The Institute for Advanced Study, Princeton, New Jersey, USA

    A. Neveu

Authors
  1. A. Neveu
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Editor information

Editors and Affiliations

  1. Center for Theoretical Studies, University of Miami, Coral Gables, Florida, USA

    Arnold Perlmutter

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© 1976 Plenum Press, New York

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Neveu, A. (1976). Semiclassical Quantization Methods in Field Theory. In: Perlmutter, A. (eds) New Pathways in High-Energy Physics I. Studies in the Natural Sciences, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-2922-0_9

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  • DOI: https://doi.org/10.1007/978-1-4684-2922-0_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-2924-4

  • Online ISBN: 978-1-4684-2922-0

  • eBook Packages: Springer Book Archive

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