The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
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Publication:1709373
DOI10.1007/JHEP10(2017)166zbMath1383.81343arXiv1709.07718MaRDI QIDQ1709373
York Schröder, Peter Marquard, Andreas Maier, Thomas Luthe
Publication date: 27 March 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.07718
Strong interaction, including quantum chromodynamics (81V05) Renormalization group methods applied to problems in quantum field theory (81T17)
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Uses Software
Cites Work
- Wilson expansion of QCD popagators at three loops: operators of dimension two and three
- The \(R^{\ast}\)-operation for Feynman graphs with generic numerators
- Four-loop renormalization of QCD with a reducible fermion representation of the gauge group: anomalous dimensions and renormalization constants
- The four-loop QCD \(\beta\)-function and anomalous dimensions
- Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
- Beta functions and anomalous dimensions up to three loops
- Renormalizability of the local composite operator \(A_{\mu}^2\) in linear covariant gauges
- Towards the five-loop beta function for a general gauge group
- Five-loop quark mass and field anomalous dimensions for a general gauge group
- Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators
- The five-loop beta function of Yang-Mills theory with fermions
- Complete renormalization of QCD at five loops
- Five-loop renormalisation of QCD in covariant gauges
- Three loop \(\overline{MS}\) renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
- The anomalous dimension of the composite operator \(A^2\) in the Landau gauge
- GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
- \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams
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