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Просмотр по автору "Missarov M."

Просмотр по автору "Missarov M."

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  • Adelic Feynman amplitudes in lower orders of perturbation theory 
    Lerner E.; Missarov M. (2000)
    We formulate convergency conditions for adelic Feynman amplitudes and prove that for spaces of sufficiently high dimension, there exists a nonempty domain in the space of powers of propagators in which the adelic amplitude ...
  • Adelic φ{symbol}d 4-theory 
    Missarov M. (1991)
    Formal massless euclidean φ{symbol}d 4-theory on the adele group is defined. It is shown that φ{symbol}4 4-theory is renormalizable up to the third order in perturbation theory. © 1991.
  • An algorithm for studying the renormalization group dynamics in the projective space 
    Missarov M.; Shamsutdinov A. (2014)
    © 2014, Pleiades Publishing, Ltd. The renormalization group dynamics is studied in the four-component fermionic hierarchical model in the space of coefficients that determine the Grassmann-valued density of the free measure. ...
  • Combinatorial optimization problems in ultrametric spaces 
    Missarov M.; Stepanov R. (2003)
    We study the solutions of some known combinatorial optimization problems including the minimum matching problem, the minimum spanning tree problem, and the traveling salesman problem in d-dimensional p-adic spaces. It ...
  • Continuum limit in the fermionic hierarchical model 
    Missarov M. (1999)
    We discuss the problem of rigorously constructing the continuum limit in the fermionic hierarchical model. The continuum limit constructed as the limit of fields on the refined hierarchical lattices is a field on a p-adic ...
  • Critical exponents in p-adic 4-model 
    Missarov M.; Stepanov R. (2006)
    We consider 4-model with O(N)-symmetry in d-dimensional p-adic space using the approach of renormalized projection Hamiltonians. Critical exponents ν and η are calculated up to three orders of perturbation theory using two ...
  • Critical phenomena in the fermionic hierarchical model 
    Missarov M. (1998)
    The dynamics of the renormalization-group transformation in the coupling-constant space of the fermionic hierarchical model are discussed. The critical behavior of this model is described in terms of the complex behavior ...
  • Dimensional renormalization in p-adic models of field theory 
    Lerner E.; Missarov M. (2000)
    We define fractional-dimensional p-adic Feynman amplitudes and construct a dimensional renormalization with minimum subtractions. In the fermionic model case, another dimensional renormalization procedure is defined as the ...
  • Dynamical phenomena in the hierarchical fermionic model 
    Missarov M. (1999)
    We describe the global behaviour of stable invariant curves of renormalization group transformation in the coupling constants plane of the hierarchical fermionic model. These results are interpreted in terms of complex ...
  • Epsilon-expansion in the N-component φ4 model 
    Missarov M.; Stepanov R. (2006)
    The formalism of projection Hamiltonians is applied to the N-component O(N)-invariant φ4 model in the Euclidean and p-adic spaces. We use two versions of the ε-expansion (with ε = 4 - d and with ε = α - 3d/2, where α is ...
  • Fixed points of renormalization group for the hierarchical fermionic model 
    Lerner E.; Missarov M. (1994)
    A fermionic version of Dyson's hierarchical model is defined. An exact renormalization group transformation is given as a rational transformation of two-dimensional parameter space. Two branches of nontrivial fixed points ...
  • Functional Fourier transformation and renormalization group transformation in bosonic field theory models 
    Missarov M. (2013)
    We introduce the notion of a functional Fourier transformation in bosonic p-adic and Euclidean models of statistical physics. We prove a commutation relation between the Fourier transformation and the Wilson renormalization ...
  • Functional integral via functional equation 
    Missarov M. (1994)
    Discretization of p-adic Grassmann-valued {Mathematical expression}-model leads to a hierarchical model with the Hamtilonian given by a nontrivial functional integral over the Grassmann variables. Using renormalization ...
  • Global dynamics of the two-dimensional dynamical systems of special type 
    Missarov M.; Smirnov P. (2019)
    © 2019 IOP Publishing Ltd. We study parametic class of two-dimensional discrete dynamical systems, which is a generalization of renormalization group mapping in the hierarchical fermionic model. To analyze global dynamics ...
  • Invariant manifolds of p-adic renormalization groups 
    Missarov M. (1993)
    Invariant manifolds of p-adic renormalization groups in terms of (4-d)-expansion and dimensional renormalization are discussed. © 1993 Kluwer Academic Publishers.
  • On vertex parts of p-adic Feynman amplitudes 
    Missarov M.; Stepanov R. (2009)
    We reduce the calculation of the vertex parts of p-adic Feynman amplitudes to a recursive procedure for evaluating singular parts of certain integrals. We propose an algorithm for calculating these integrals in the general ...
  • P-adic conformal invariance and the Bruhat-Tits tree 
    Lerner E.; Missarov M. (1991)
    It is shown that some Gaussian and non-Gaussian scaling invariant p-adic field theories are invariant under the group of transformations which conserve the p-adic norm of the cross-ratio of any four points. This group can ...
  • P-adic Feynman and string amplitudes 
    Lerner E.; Missarov M. (1989)
    We derive an explicit representation for p-adic Feynman and Koba-Nielsen amplitudes and we briefly outline the connection between the scalar models of p-adic quantum field theory and Dyson's hierarchical models. © 1989 ...
  • P-adic ψ4-theory as a functional equation problem 
    Missarov M. (1997)
    p-adic ψ4-theory and its discrete hierarchical version are related by integral functional equation. Simple renormalization procedure, using the solution of this functional equation, is discussed in the massless case. © ...
  • Renormalization group in a fermionic hierarchical model in projective coordinates 
    Missarov M. (2012)
    We study the renormalization group action in a fermionic hierarchical model in the space of coefficients determining the Grassmann-valued density of the free measure. This space is interpreted as the two-dimensional ...

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