We present a new approach to calculation of anomalous dimensions in the framework of e-expansion and renormalization group method. This approach allows one to skip the calculation of renormalization constants and express anomalous dimensions in terms of renormalized diagrams, which are presented in a form suitable for numerical calculations. This approach can be easily automated and extended to a wide range of models. The power of this approach is illustrated on 5 loop calculations of beta-function and anomalous dimensions in phi^4 model.
Original languageEnglish
Title of host publicationFive-loop numerical evaluation of critical exponents of the φ4 theory
Number of pages8
DOIs
StatePublished - 2014

    Research areas

  • renormalization group, critical behavior

ID: 7004808