2003/04/11 by J. A. Gracey, J.A. Gracey · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant transformation #Dimension (graph theory) #Gauge (firearms) #Gauge theory #Loop (graph theory) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Scalar (mathematics) #Tensor (intrinsic definition) #hep-lat #hep-ph
paper · pdf · doi:10.1016/s0550-3213(03)00335-3
published as Nucl.Phys. B662 (2003) 247-278 · 26 latex pages
arxiv created 2003/04/11 · openalex publication_date 2003/05/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We renormalize QCD at three loops in the modified regularization invariant, RI', scheme in arbitrary covariant gauge and deduce that the four loop beta-function is equivalent to the MSbar result. The anomalous dimensions of the scalar, vector and tensor currents are then determined in the RI' scheme at three loops by considering the insertion of the operator in a quark two-point function. The expression for the scalar current agrees with the quark mass anomalous dimension and we deduce an expression for the four loop RI' mass anomalous dimension in arbitrary covariant gauge and for any Lie group.