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Critical exponents from five-loop scalar theory renormalization near six-dimensions

High Energy Physics - Theory 2021-05-04 v1 Statistical Mechanics High Energy Physics - Phenomenology
Authors: Mikhail Kompaniets , Andrey Pikelner
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Abstract

We present five-loop results for the renormalization of various models with a cubic interaction (in d=6−2ε{d = 6 - 2 \varepsilon} dimensions). For the scalar model and its O(n){O(n)}-symmetric extension we provide renormalization constants, anomalous dimensions and critical exponents. We discuss in detail the method of calculation, and provide all counterterms up to five loops. This allows one to consider generalizations of the φ3{\varphi^3} theory to other symmetries.

Keywords

renormalization in quantum field theory critical phenomena anomalous dimensions in qcd

Cite

@article{arxiv.2101.10018,
  title  = {Critical exponents from five-loop scalar theory renormalization near six-dimensions},
  author = {Mikhail Kompaniets and Andrey Pikelner},
  journal= {arXiv preprint arXiv:2101.10018},
  year   = {2021}
}

Comments

10 pages, ancillary files with results

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