Skip to main content
Log in

Construction of the scattering matrix in the quantum theory of interacting fields

  • Published:
Soviet Physics Journal Aims and scope

Abstract

We consider the construction from a Lagrangian of chronologically ordered objects (τ-products) which define a relativistically covariant, unitary, and causal scattering matrix for locally noncommutative field interactions. We present and justify a method for constructing the τ-products which gives an explicit form of the scattering matrix.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, John Wiley, New York (1980).

    Google Scholar 

  2. D. I. Blokhintsev, Preprint OIYaI R2-12462, Dubna (1979), p. 7.

  3. G. V. Efimov, Non-local Interactions of Quantum Fields [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. D. D. Grachev, S. L. Dubkov, and V. V. Kuryshkin, Problems in Statistical Physics and Field Theory [in Russian], UDN, Moscow (1982), p. 157.

    Google Scholar 

  5. V. V. Kuryshkin and É. É. Éntral'go, Preprint OIYaI D17-84-850, Dubna (1984), p. 431.

  6. S. L. Dubkov, V. V. Kuryshkin, and É. É. Éntral'go, Preprint OIYaI D2-84-366, Dubna (1984), p. 352.

  7. N. N. Bogolyubov, Izv. Akad. Nauk SSSR Ser. Fiz.,19, 237 (1955).

    Google Scholar 

  8. N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov, Introduction to Axiomatic Quantum Field Theory, W. A. Benjamin, Reading, Mass. (1975).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 89–93, August, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuryshkin, V.V., Sevast'yanov, L.A. Construction of the scattering matrix in the quantum theory of interacting fields. Soviet Physics Journal 31, 682–686 (1988). https://doi.org/10.1007/BF01102550

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01102550

Keywords

Navigation