Zobrazeno 1 - 10
of 552
pro vyhledávání: '"Gracey J"'
Autor:
Gracey, J. A.
We report on recent work on a class of renormalization schemes in QCD, termed the MOMt schemes. None of the renormalization group functions of the eight QCD MOMt schemes involve even zetas to five loops. A new scheme is introduced for scalar $\phi^3$
Externí odkaz:
http://arxiv.org/abs/2406.18182
Autor:
Gracey, J. A.
We employ the Forcer algorithm to renormalize a variety of six dimensional field theories to four loops. In order to achieve this we construct the Forcer master integrals in six dimensions from their four dimensional counterparts by using the Tarasov
Externí odkaz:
http://arxiv.org/abs/2405.00413
Autor:
Gracey, J. A.
We examine a variety of renormalization schemes in QCD based on its $3$-point vertices where the $\beta$-functions, gluon, ghost, quark and quark mass anomalous dimensions in each scheme do not depend on $\zeta_4$ or $\zeta_6$ in an arbitrary linear
Externí odkaz:
http://arxiv.org/abs/2311.13484
Autor:
Mason, R. H., Gracey, J. A.
The Bjorken sum rule and R ratio are constructed to $O(a^4)$ in the Landau gauge in the three momentum subtraction schemes of Celmaster and Gonsalves where $a$ $=$ $g^2/(16\pi^2)$. We aim to examine the issue of convergence for observables in the var
Externí odkaz:
http://arxiv.org/abs/2309.17112
Autor:
Mason, R. H., Gracey, J. A.
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 gauge parameter has to be explicitly considered. Motivated by ensurin
Externí odkaz:
http://arxiv.org/abs/2309.16554
Autor:
Gracey, J. A., Mason, R. H.
We investigate the Crewther relation at high loop order in a variety of renormalization schemes and gauges. By examining the properties of the relation in schemes other than modified minimal subtraction (MSbar) at the fixed points of Quantum Chromody
Externí odkaz:
http://arxiv.org/abs/2306.11416
We analyse the fixed points of QCD at high loop order in a variety of renormalization schemes and gauges across the conformal window. We observe that in the minimal momentum subtraction scheme solutions for the Banks-Zaks fixed point persist for valu
Externí odkaz:
http://arxiv.org/abs/2306.09056
Autor:
Gracey, J. A., Mason, R. H.
We determine the anomalous dimensions of the gluon, Faddeev-Popov ghost and quark in the minimal MOM scheme to five loops for a general colour group when Quantum Chromodynamics is fixed in a linear covariant gauge. The quark mass anomalous dimension
Externí odkaz:
http://arxiv.org/abs/2210.14604
Autor:
Gracey, J. A.
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. Using these core results we also compute the four loop Green's function w
Externí odkaz:
http://arxiv.org/abs/2210.12420
Autor:
Gracey, J. A.
To assist the matching of lattice field theory results to the high energy continuum limit we evaluate the Green's function where the tensor quark bilinear operator is inserted at zero momentum in a quark $2$-point function for an arbitrary covariant
Externí odkaz:
http://arxiv.org/abs/2208.14527