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Quantization of models of quantum field theory with solitons

  • Part II Quantization Procedures
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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1037))

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References

  1. Raczka, R. i/ Lett. in Math. Phys. 5, 263 (1981), see also (1ii/) review article "Second Quantization of Boson-Fermion Field Theories with Solitons or Instantons" preprint I.S.A.S., Trieste 43/82/E.P.

    Article  MathSciNet  Google Scholar 

  2. See e.g. Abers, E.S., and Lee, B.W., Phys. Reports 9, 1 (1973)

    Article  Google Scholar 

  3. Fröhlich, J., "On the triviality of λ ϕ 4d theories and the approach to the critical point in d ⩾ 4 dimensions" preprint IHES/P/81/41, Bures-sur-Yvette.

    Google Scholar 

  4. Berestycki, H. and P.L. Lions in "Bifurcation Phenomena in Mathematical Physics and Realted Phenomena" p. 269, Editors Bardos, C. and Bessis, D., Reidel Publ. Company, Dordrecht (1980)

    Chapter  Google Scholar 

  5. Skorupski, Andrzej A., Reports on Math. Phys. 17, 161 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  6. Glimm, J., Jaffe, A., "Quantum Physics: a functional integral point of view" New York, Springer-Verlag, (1981)

    MATH  Google Scholar 

  7. Jevicki, A., Nucl. Phys. B 117, 365 (1976), see also Raczka, R. and Roszkowski, L., "Green's Functions in Models of Quantum Field Theory with Ground State Solutions", in preparation

    Google Scholar 

  8. Albeverio, S., Høegh-Krohn, R.Y., "Mathematical Theory of Feynmann Path Integral", Lecture Notes in Math. V. 523 (1976)

    Google Scholar 

  9. Maslov, V., Fedorovik, M.V., "Semi-Classical Approximation", translated from russian by Niederle Y. and Tolar Y., Reidel Publ. Co., Dordrecht (1981)

    Chapter  Google Scholar 

  10. Dashen, R., Hasslacher, B., Neveu, A., Phys. Rev. D 10, 4114, 4130, (1974) ibid D 11, 3424 (1975)

    Google Scholar 

  11. Fedoriuk, M.V., "Saddle Point Method", Moscow (in russian)

    Google Scholar 

  12. See e.g. Itzykson, C., Zuber, J.B., "Quantum Field Theory", N.Y., Mc. Graw-Hill (1980)

    Google Scholar 

  13. Luther, A., Phys. Rev. B 14, 2153 (1976)

    Google Scholar 

  14. Review of Particle Properties, Rev. Mod. Phys. 52, 2, (1980)

    Google Scholar 

  15. Raczka, R., "Bethe-Salpeter Equation in Models of Field Theory with Solitons", in preparation

    Google Scholar 

  16. Raczka, R., and Kraskiewicz, J., "Trajectories of Boson and Fermion Excited states in Yukawa-like Models with Solitons", preprint I.S.A.S., Trieste, 1982.

    Google Scholar 

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© 1983 Springer-Verlag Berlin Heidelberg

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Kraśkiewicz, J., Rączka, R. (1983). Quantization of models of quantum field theory with solitons. In: Andersson, S.I., Doebner, HD. (eds) Non-linear Partial Differential Operators and Quantization Procedures. Lecture Notes in Mathematics, vol 1037. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073176

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  • DOI: https://doi.org/10.1007/BFb0073176

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  • Print ISBN: 978-3-540-12710-9

  • Online ISBN: 978-3-540-38695-7

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