Skip to main content
Log in

Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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.

Literature Cited

  1. H. Araki, K. Hepp, and D. Ruelle, Helv. Phys. Acta,35, 164 (1962).

    Google Scholar 

  2. K. Hepp and H. Epstein, Analytic Properties of Scattering Amplitudes in Local Quantum Field Theory [Russian translation], Atomizdat, Moscow (1971).

    Google Scholar 

  3. R. Jost, The General Theory of Quantized Fields, AMS., Providence, R. I. (1965) (Russian translation published by Mir, Moscow (1967)).

    Google Scholar 

  4. M. A. Solov'ev, Teor. Mat. Fiz.,42, 3 (1980).

    Google Scholar 

  5. M. A. Solov'ev, Teor. Mat. Fiz.,52, 213 (1982).

    Google Scholar 

  6. R. F. Streater and A. S. Wightman, PCT, Spin and Statistics and All That, Benjamin, New York (1964) (Russian translation published by Nauka, Moscow (1966)).

    Google Scholar 

  7. V. S. Vladimirov, Methods of the Theory of Functions of Many Complex Variables, M. I. T. Press, Cambr., Mass. (1966) (Russian original published by Nauka, Moscow (1964)).

    Google Scholar 

  8. K. Pohlmeyer, Commun. Math. Phys.,7, 80 (1968).

    Google Scholar 

  9. H. J. Borchers and K. Pohlmeyer, Commun. Math. Phys.,8, 269 (1968).

    Google Scholar 

  10. M. Z. Iofa and V. Ya. Fainberg, Zh. Eksp. Teor. Fiz.,56, 1644 (1969).

    Google Scholar 

  11. N. N. Meiman, Zh. Eksp. Teor. Fiz.,47, 1966 (1964).

    Google Scholar 

  12. V. Ya. Fainberg and M. A. Soloviev, Ann. Phys. (N. Y.),113, 421 (1978).

    Google Scholar 

  13. V. Ya. Fainberg, “On quantum field theories with nonpolynomial growth of the matrix elements,” in: Problems of Theoretical Physics [in Russian], Nauka, Moscow (1972), pp. 119–145.

    Google Scholar 

  14. G. V. Efimov, Nonlocal Interactions of quantized Fields [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  15. M. K. Volkov and V. N. Pervushin. Essentially Nonlinear Quantum Theories, Dynamical Symmetries, and Meson Physics [in Russian], Atomizdat, Moscow (1978).

    Google Scholar 

  16. S. S. Khoruzhii, “Construction of an axiomatic theory of nonrenormalizable interactions. II,” Preprint B2-3086 [in Russian], JINR, Dubna (1966).

    Google Scholar 

  17. M. Z. Iofa and V. Ya. Fainberg, Teor. Mat. Fiz.,1, 187 (1969).

    Google Scholar 

  18. J. G. Taylor, Ann. Phys. (N. Y.),68, 484 (1971).

    Google Scholar 

  19. J. Bümmerstede and W. Lücke, Commun. Math. Phys.,37, 121 (1974).

    Google Scholar 

  20. D. Ruelle, Helv. Phys. Acta,35, 147 (1962).

    Google Scholar 

  21. I. M. Gel'fand and G. E. Shilov, Generalized Functions, Vol. 2, Function and Generalized Function Spaces, Academic Press, New York (1964).

    Google Scholar 

  22. H. H. Schaeffer, Topological Vector Spaces, MacMillan, New York (1966).

    Google Scholar 

  23. S. Mandelbrojt, Séries adhérentes, régularization des suites, applications, Paris (1952) (Russian translation published by IL, Moscow (1955)).

  24. A. M. Jaffe, Phys. Rev.,158, 1454 (1967).

    Google Scholar 

  25. M. A. Solov'ev, Teor. Mat. Fiz.,7, 183 (1971).

    Google Scholar 

  26. M. A. Solov'ev, Teor. Mat. Fiz.,20, 299 (1974).

    Google Scholar 

  27. M. A. Solov'ev, Teor. Mat. Fiz.,15, 3 (1973).

    Google Scholar 

  28. V. Ya. Fainberg and M. A. Soloviev, Commun. Math. Phys.,57, 149 (1977).

    Google Scholar 

  29. M. A. Solov'ev, Teor. Mat. Fiz.,43, 202 (1980).

    Google Scholar 

  30. M. A. Solov'ev, “Convolution with functionals concentrated in a cone,” Preprint No. 140 [in Russian], Institute of Theoretical and Experimental Physics, Moscow (1977).

  31. S. Mandelbrojt, General Theorems of Closure, Houston (1971) (The reference is to the Supplement in the Russian translation published by IL, Moscow (1962)).

  32. A. I. Kashpirovskii, Funktsional. Analiz i Ego Prilozhen.14, 60 (1980).

    Google Scholar 

  33. É. Cartan, Differential Calculus. Differential Forms [Russian translation], Mir, Moscow (1971).

    Google Scholar 

Download references

Authors

Additional information

P. N. Lebedev Physics Institute, Academy of Sciences of the USSR, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 52, No. 3, pp. 363–374, September, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Solov'ev, M.A. Spacelike asymptotic behavior of vacuum expectation values in nonlocal field theory. Theor Math Phys 52, 854–862 (1982). https://doi.org/10.1007/BF01038079

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01038079

Keywords

Navigation