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arXiv · 1309.5621

Five-loop numerical evaluation of critical exponents of the $φ^4$ theory

L. Ts. Adzhemyan·M. V. Kompaniets
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Abstract

We present a new approach to calculation of anomalous dimensions in the framework of $ε$-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 $ϕ^4$ model.

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L. Ts. Adzhemyan, M. V. Kompaniets. 2013-09-22. Five-loop numerical evaluation of critical exponents of the $φ^4$ theory. https://doi.org/10.1088/1742-6596%2F523%2F1%2F012049

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