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Feynman integrals of functionals of exponential form with a polynomial exponent

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Abstract

The concept of Feynman integral is considered in the sense of analytic continuation in the space of complex operators. The existence of the integral is proved and its representation in the form of a Gaussian integral is obtained for the case when the principal term of the integrand is an exponential of a polynomial.

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References

  1. O. G. Smolyanov and E. T. Shavgulidze, Continual Integrals (Moscow State Univ., Moscow, 1990) [in Russian].

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    A. K. Kravtseva

Authors
  1. A. K. Kravtseva
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Original Russian Text © A.K. Kravtseva, 2012, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2012, Vol. 67, No. 6, pp. 35–38.

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Kravtseva, A.K. Feynman integrals of functionals of exponential form with a polynomial exponent. Moscow Univ. Math. Bull. 67, 233–235 (2012). https://doi.org/10.3103/S0027132212050117

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  • DOI: https://doi.org/10.3103/S0027132212050117

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