Back to Search
Start Over
The perturbative QCD gradient flow to three loops
- Source :
- Journal of High Energy Physics, Journal of high energy physics : JHEP 2016(6), 161 (2016). doi:10.1007/JHEP06(2016)161
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- The gradient flow in QCD is treated perturbatively through next-to-next-to-leading order in the strong coupling constant. The evaluation of the relevant momentum and flow-time integrals is described, including various means of validation. For the vacuum expectation value of the action density, which turns out to be a useful quantity in lattice calculations, we find a very well-behaved perturbative series through NNLO. Quark mass effects are taken into account through NLO. The theoretical uncertainty due to renormalization scale variation is significantly reduced with respect to LO and NLO, as long as the flow time is smaller than about 0.1 fm.<br />Comment: 25 pages, 6 figures, 3 tables. v2: typos fixed; matches published version
- Subjects :
- Quark
Nuclear and High Energy Physics
FOS: Physical sciences
lattice [quantum chromodynamics]
quantum chromodynamics: beta function
01 natural sciences
renormalization
Renormalization
beta function [quantum chromodynamics]
coupling constant: energy dependence
High Energy Physics - Lattice
High Energy Physics - Phenomenology (hep-ph)
strong interaction: coupling constant
Lattice (order)
0103 physical sciences
mass [quark]
ddc:530
action: density
010306 general physics
Physics
Quantum chromodynamics
010308 nuclear & particles physics
higher-order: 2
High Energy Physics - Lattice (hep-lat)
quantum chromodynamics: perturbation theory: higher-order
Perturbative QCD
Lattice QCD
2 [higher-order]
quark: mass
High Energy Physics - Phenomenology
perturbation theory: higher-order [quantum chromodynamics]
Quantum electrodynamics
density [action]
effect [mass]
Balanced flow
energy dependence [coupling constant]
quantum chromodynamics: lattice
coupling constant [strong interaction]
mass: effect
Vacuum expectation value
Subjects
Details
- ISSN :
- 10298479
- Volume :
- 2016
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....182bd2b2dd91ea5ca04b9813b2635968