Theoretical and Mathematical Physics

, Volume 185, Issue 1, pp 1361–1369 | Cite as

Representation of the β-function and anomalous dimensions by nonsingular integrals in models of critical dynamics

  • L. Ts. AdzhemyanEmail author
  • S. E. Vorob’eva
  • M. V. Kompaniets


We propose a method for calculating the β-function and anomalous dimensions in critical dynamics models that is convenient for numerical calculations in the framework of the renormalization group and ε-expansion. Those quantities are expressed in terms of the renormalized Green’s function, which is renormalized using the operation R represented in a form that allows reducing ultraviolet divergences of Feynman diagrams explicitly. The integrals needed for the calculation do not contain poles in ε and are convenient for numerical integration.


renormalization group ε-expansion multiloop diagram critical exponent 


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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  • L. Ts. Adzhemyan
    • 1
    Email author
  • S. E. Vorob’eva
    • 1
  • M. V. Kompaniets
    • 1
  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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