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

DOI PDF Web Site 被引用文献4件

書誌事項

公開日
2019-06
権利情報
  • https://creativecommons.org/licenses/by/4.0/
  • https://creativecommons.org/licenses/by/4.0/
DOI
  • 10.1007/jhep06(2019)121
公開者
Springer Science and Business Media LLC

説明

<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>

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