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20212026
most citedFive loop renormalization of theory with applications to the Lee-Yang edge singularity and percolation theory

82 citations · 90 across the 9 of their papers we have counts for

collaborators

9 papers

hep-ph2026

Asymptotic Padé Predictions up to Six Loops in QCD and Eight Loops in

J. A. Gracey, I. Jack, D. R. T. Jones

We assess the accuracy of our previous Asymptotic Padé predictions of the five-loop QCD -function and quark mass anomalous dimension in the light of subsequent exact results. We…

hep-th2025

Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops

J. A. Gracey, A. Maier, P. Marquard +1

We renormalize the Gross-Neveu-Yukawa model with an symmetry to in dimensions and determine the anomalous dimensions of the fermion and scalar fie…

hep-th2024★ 1 cited

Four loop renormalization of QCD in the Curci-Ferrari gauge

J. A. Gracey

We renormalize Quantum Chromodynamics (QCD) when gauge fixed in the nonlinear Curci-Ferrari gauge to four loops in the modified minimal subtraction (MSbar) scheme. We reproduce the…

hep-ph2024

Four loop Green's functions involving the moment of the Wilson operator

J. A. Gracey

We evaluate the Green's function for the insertion of the second moment of the twist- flavour nonsinglet Wilson operator in a quark -point function in all three different sin…

hep-ph2023

Crewther's relation in different schemes

R. H. Mason, J. A. Gracey

We examine Crewther's relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the…

hep-ph2023

Kinematic scheme study of the Bjorken sum rule and R ratio

R. H. Mason, J. A. Gracey

The Bjorken sum rule and R ratio are constructed to in the Landau gauge in the three momentum subtraction schemes of Celmaster and Gonsalves where . W…

hep-ph2022★ 7 cited

Five loop anomalous dimension of non-singlet quark currents in the RI' scheme

J. A. Gracey

We construct the five loop anomalous dimensions of the basic fields in Quantum Chromodynamics in a linear covariant gauge in the modified Regularization Invariant (RI') scheme. Usi…

hep-lat2021

Non-perturbative renormalisation with interpolating momentum schemes

N Garron, C Cahill, M Gorbahn +2

Hadronic matrix elements evaluated on the lattice can be converted to a continuum scheme such as $\MSbar$ using intermediate non-perturbative renormalisation schemes. Discretisatio…

hep-th2021★ 82 cited

Five loop renormalization of theory with applications to the Lee-Yang edge singularity and percolation theory

M. Borinsky, J. A. Gracey, M. V. Kompaniets +1

We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to theory and compute the function, the wave function anomalo…