Results and techniques for higher order calculations within the gradientflow formalism
Abstract
We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradientflow formalism. This includes a collection of all relevant Feynman rules of the fivedimensional 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 threeloop results for the quark condensate at finite $t$ and the conversion factor for the "ringed" quark fields to the $$\overline{\mbox{MS}}$$ scheme are presented as applications. We also reevaluate an earlier result for the threeloop gluon condensate, improving on its accuracy.
 Authors:

 RWTH Aachen Univ., Aachen (Germany)
 Illinois Inst. of Technology, Chicago, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 AlbertLudwigsUniv., Freiburg (Germany)
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1529333
 Report Number(s):
 arXiv:1905.00882; FERMILABPUB19151T; FRPHENO2019003; IITCAPP1902; TTK1915
Journal ID: ISSN 10298479; 1732898
 Grant/Contract Number:
 AC0207CH11359
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 6; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Perturbative QCD
Citation Formats
Artz, Johannes, Harlander, Robert V., Lange, Fabian, Neumann, Tobias, and Prausa, Mario. Results and techniques for higher order calculations within the gradientflow formalism. United States: N. p., 2019.
Web. doi:10.1007/JHEP06(2019)121.
Artz, Johannes, Harlander, Robert V., Lange, Fabian, Neumann, Tobias, & Prausa, Mario. Results and techniques for higher order calculations within the gradientflow formalism. United States. https://doi.org/10.1007/JHEP06(2019)121
Artz, Johannes, Harlander, Robert V., Lange, Fabian, Neumann, Tobias, and Prausa, Mario. Mon .
"Results and techniques for higher order calculations within the gradientflow formalism". United States. https://doi.org/10.1007/JHEP06(2019)121. https://www.osti.gov/servlets/purl/1529333.
@article{osti_1529333,
title = {Results and techniques for higher order calculations within the gradientflow formalism},
author = {Artz, Johannes and Harlander, Robert V. and Lange, Fabian and Neumann, Tobias and Prausa, Mario},
abstractNote = {We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradientflow formalism. This includes a collection of all relevant Feynman rules of the fivedimensional 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 threeloop results for the quark condensate at finite $t$ and the conversion factor for the "ringed" quark fields to the $\overline{\mbox{MS}}$ scheme are presented as applications. We also reevaluate an earlier result for the threeloop gluon condensate, improving on its accuracy.},
doi = {10.1007/JHEP06(2019)121},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2019,
place = {United States},
year = {2019},
month = {6}
}
Web of Science
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