Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
By K. Chetyrkin. 2004
132 citations recorded by the source corpus.
The anomalous dimensions of the gluon and ghost fields as well as those of the ghost–ghost–gluon and quark–quark–gluon vertexes are analytically computed at four loops in pQCD. Taken together with already available anomalous dimensions of the coupling constant, the quark field and the mass the results lead to complete knowledge of all renormalization constant entering into the renormalization of the QCD Lagrangian at the four-loop level. As a by-product we get scale and scheme invariant gluon and ghost propagators at NNNLO. Using a theorem due to Dudal, Verschelde and Sorella, we also construct the four-loop anomalous dimension of the “gluon mass operator”, A2, in the Landau gauge.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/ff0aa0af17b8327cb311d6f1de1c565755a4ed6f
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In Nuclear and High Energy Physics
Citations in the corpus
- Four-loop decoupling relations for the strong coupling (2005, background): “[7] the results up to four-loop order have nicely been summarized (see also refs.”
- The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge (2017, background): “At four loops, these are known since more than a decade for SU(N) and Lie groups, see [8, 25] and references therein.”
- The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, unknown): “5 One can easily check that Z̃−1 3 (μ (2), Λ)ΣR(k (2), μ(2);Λ) approaches some finite limit as Λ → ∞ since the ghost and gluon propagator anomalous dimensions and the beta function verify the relation 2γ̃ + γ + β = 0 [67].”