4.4 Article

Results and techniques for higher order calculations within the gradient-flow formalism

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 6, 页码 -

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SPRINGER
DOI: 10.1007/JHEP06(2019)121

关键词

Lattice QCD; Perturbative QCD

资金

  1. Deutsche Forschungsgemeinschaft (DFG) [HA 2990/9-1]
  2. U.S. Department of Energy [DE-SC0008347]
  3. Fermi Research Alliance, LLC (FRA) [DE-AC02-07CH11359]
  4. RWTH Aachen University [rwth0244]

向作者/读者索取更多资源

We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradient-flow formalism. This includes a collection of all relevant Feynman rules of the five-dimensional field theory and the composite operators considered in this paper. Tools from standard perturbative calculations are used to obtain Green's functions at finite flow time t at higher orders in perturbation theory. The three-loop results for the quark condensate at finite t and the conversion factor for the ringed quark fields to the MSscheme are presented as applications. We also re-evaluate an earlier result for the three-loop gluon condensate, improving on its accuracy.

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