Browsing by Subject "Renormalization group"

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  • 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 ...
  • 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 ...
  • 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 ...
  • 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 transformation in a 2n-component fermionic hierarchical model 
    Stepanov R. (2006)
    We study the 2N-component fermionic model on a hierarchical lattice and give explicit formulas for the renormalization-group transformation in the space of coefficients that determine a Grassmann-valued density of the free ...
  • The equations of Wilson's renormalization group in dimension 4 and analytic renormalization 
    Missarov M. (1985)
    Wilson's renormalization group equations are introduced and investigated in the framework of perturbation theory with respect to the deviation of the renormalization exponent from its bifurcation value. We consider the ...
  • ε-expansions in Dyson's hierarchical model 
    Missarov M.; Stepanov P. (2004)
    We consider Dyson's hierarchical model on a d-dimensional hierarchical lattice and define a renormalization group (RG) transformation for complex values of d as a map in the space of sequences of coupling constants determining ...

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