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Part of the book series: Nato Advanced Study Institutes Series ((ASIB,volume 26))

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Abstract

Completely integrable Hamiltonian systems quite naturally lend themselves to semi-classical quantization methods. This is one of the reasons why the pioneers of the semi-classical approach to local quantum field theory have chosen the completely integrable sine Gordon model as the testing ground for their respective formalisms [1]. Certainly, the importance of this model does not end with that. The sine Gordon equation makes its appearance in many different branches of physics. As a Boson quantum field theory in one-time and one-space dimension the sine Gordon model received great attention because of its close relation to the massive Thirring model, which is a Fermion theory [2].

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References

  1. R. Dashen, B. Hasslacher and A. Neveu: Phys. Rev. D10, 4114, 4130, 4138 (1974) W.E. Korepin and L.D. Faddev: Teor. i Mat. Fiz. 25, 147 (1975) A. Klein and F. Krejs: Phys. Rev. D13, 3295 (1976) N.H. Christ and T.D. Lee: Phys. Rev. D12, 1606 (1975)

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  2. S. Coleman: Phys. Rev. D11, 2088 (1975) B. Schroer and T.T. Truong: “Equivalence of Sine-Gordon and Massive Thirring Model and Cumulative Mass Effects”, FUB HEP 6/76

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© 1977 Plenum Press, New York

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Pohlmeyer, K. (1977). Interactions via Quadratic Constraints. In: Lévy, M., Mitter, P. (eds) New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976. Nato Advanced Study Institutes Series, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8918-1_14

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  • DOI: https://doi.org/10.1007/978-1-4615-8918-1_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-8920-4

  • Online ISBN: 978-1-4615-8918-1

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