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Quantization of models of quantum field theory with solitons

Part II Quantization Procedures

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1037)

Keywords

  • Excited State
  • Momentum Represen
  • Path Integral Representation
  • Internal Symmetry Group
  • Meson Cloud

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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.

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

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  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.

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  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)

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

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  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

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

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

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

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

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

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  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.

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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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