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Letters in Mathematical Physics

, Volume 32, Issue 4, pp 347–356 | Cite as

Functional integral via functional equation

  • M. D. Missarov
Article

Abstract

Discretization ofp-adic Grassmann-valued\((\bar \psi \psi )^2 \)-model leads to a hierarchical model with the Hamtilonian given by a nontrivial functional integral over the Grassmann variables. Using renormalization group arguments, we reduce the calculation of this integral to a functional equation. The problem of the convergence of the perturbation expansion of this integral, realized as a small-divisors problem, is investigated.

Mathematics Subject Classifications (1991)

82A05 81T99 

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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • M. D. Missarov
    • 1
  1. 1.Department of Applied MathematicsKazan State UniversityKazanRussia

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