{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1363670320378854528.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1007/jhep06(2019)121"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/content/pdf/10.1007/JHEP06(2019)121.pdf"}},{"identifier":{"@type":"URI","@value":"https://link.springer.com/article/10.1007/JHEP06(2019)121/fulltext.html"}}],"dc:title":[{"@value":"Results and techniques for higher order calculations within the gradient-flow formalism"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>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<jats:italic>t</jats:italic>at higher orders in perturbation theory. The three-loop results for the quark condensate at finite<jats:italic>t</jats:italic>and the conversion factor for the “ringed” quark fields to the<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \\overline{\\mathrm{MS}} $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mover><mml:mrow><mml:mi>M</mml:mi><mml:mi>S</mml:mi></mml:mrow><mml:mo>¯</mml:mo></mml:mover></mml:math></jats:alternatives></jats:inline-formula>scheme are presented as applications. We also re-evaluate an earlier result for the three-loop gluon condensate, improving on its accuracy.</jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1383670320378854531","@type":"Researcher","foaf:name":[{"@value":"Johannes Artz"}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320378854532","@type":"Researcher","foaf:name":[{"@value":"Robert V. Harlander"}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320378854530","@type":"Researcher","foaf:name":[{"@value":"Fabian Lange"}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320378854528","@type":"Researcher","foaf:name":[{"@value":"Tobias Neumann"}]},{"@id":"https://cir.nii.ac.jp/crid/1383670320378854529","@type":"Researcher","foaf:name":[{"@value":"Mario Prausa"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"10298479"}],"prism:publicationName":[{"@value":"Journal of High Energy Physics"}],"dc:publisher":[{"@value":"Springer Science and Business Media LLC"}],"prism:publicationDate":"2019-06","prism:volume":"2019","prism:number":"6","prism:startingPage":"121"},"reviewed":"false","dc:rights":["https://creativecommons.org/licenses/by/4.0/","https://creativecommons.org/licenses/by/4.0/"],"url":[{"@id":"https://link.springer.com/content/pdf/10.1007/JHEP06(2019)121.pdf"},{"@id":"https://link.springer.com/article/10.1007/JHEP06(2019)121/fulltext.html"}],"createdAt":"2019-06-24","modifiedAt":"2023-09-17","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360009142847265152","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Four quark operators for kaon bag parameter with gradient flow"}]},{"@id":"https://cir.nii.ac.jp/crid/1360572092800673920","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:msub><mml:mi>N</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>\n QCD thermodynamics with gradient flow using two-loop matching coefficients"}]},{"@id":"https://cir.nii.ac.jp/crid/2051151842058072320","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang–Mills theory using the small flow-time expansion method"}]},{"@id":"https://cir.nii.ac.jp/crid/2051714792011512448","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"t→0 extrapolation function in the small flow time expansion method for the energy–momentum tensor"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.1007/jhep06(2019)121"},{"@type":"CROSSREF","@value":"10.1103/physrevd.102.034508_references_DOI_XdVVyLR610cdYd034W2esO7IDBg"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptab068_references_DOI_XdVVyLR610cdYd034W2esO7IDBg"},{"@type":"CROSSREF","@value":"10.1103/physrevd.102.014510_references_DOI_XdVVyLR610cdYd034W2esO7IDBg"},{"@type":"CROSSREF","@value":"10.1093/ptep/ptaa184_references_DOI_XdVVyLR610cdYd034W2esO7IDBg"}]}