DOI

In the framework of the renormalization group and the e{open}-expansion, we propose expressions for the β-function and anomalous dimensions in terms of renormalized one-irreducible functions. These expressions are convenient for numerical calculations. We choose the renormalization scheme in which the quantities calculated using R operations are represented by integrals that do not contain singularities in e{open}. We develop a completely automated calculation system starting from constructing diagrams, determining relevant subgraphs, combinatorial coefficients, etc., up to determining critical exponents. As an example, we calculate the critical exponents of the φ3 model in the order e{open}4.

Язык оригиналаанглийский
Страницы (с-по)1450-1459
Число страниц10
ЖурналTheoretical and Mathematical Physics
Том169
Номер выпуска1
DOI
СостояниеОпубликовано - 1 окт 2011

    Предметные области Scopus

  • Математическая физика
  • Статистическая и нелинейная физика

ID: 36313120