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Part of the book series: Mathematical Physics and Applied Mathematics ((MPAM,volume 10))

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Abstract

The S-matrix method, put forward by Bogolubov, Medvedev and Polivanov is a special version of the LSZ theory. It is a development of an original idea to Heisenberg (1943) according to which, the content of relativistic quantum theory can be expounded in the language of the S-matrix. The S-matrix method arose in the process of generalizing Lagrangian quantum field theory (although there is no mention of the Lagrangian in it). It starts from the assumption that there is a more primitive object than the Heisenberg field and its T-products (which are the basic concepts of the LSZ formalism). The role of this fundamental object is fulfilled by the extension of the S-matrix beyond the mass shell on the basis of which the quantum fields and their T-products have already been constructed. In the S-matrix method, the derivation of the reduction formulae is considerably simplified. (The apparatus of formal variational derivatives makes the derivation of the various reduction formulae an automatic operation.) Another essential feature of the S-matrix method is that it is well suited to the treatment of the dynamical equations of quantum field theory (see, for example, [Z1]).

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© 1990 Kluwer Academic Publishers

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Bogolubov, N.N., Logunov, A.A., Oksak, A.I., Todorov, I.T., Gould, G.G. (1990). The S-Matrix Method. In: Bogolubov, N.N., Logunov, A.A., Oksak, A.I., Todorov, I.T. (eds) General Principles of Quantum Field Theory. Mathematical Physics and Applied Mathematics, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0491-0_14

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  • DOI: https://doi.org/10.1007/978-94-009-0491-0_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6707-2

  • Online ISBN: 978-94-009-0491-0

  • eBook Packages: Springer Book Archive

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