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Conformal symmetry of QCD in $d$-dimensions

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arxiv 1810.04993 v1 pith:GO4X3YZW submitted 2018-10-11 hep-th

V.M. Braun , A.N. Manashov , S. Moch , M. Strohmaier This is my paper · ORCID
classification hep-th
keywords conformalcriticaldimensionspointsymmetryapplicationsepsilonexample
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abstract

QCD in $d=4-2\epsilon$ space-time dimensions possesses a nontrivial critical point. Scale invariance usually implies conformal symmetry so that there are good reasons to expect that QCD at the critical point restricted to the gauge invariant subsector provides one with an example of a conformal field theory. The aim of this letter is to present a technical proof of this statement which is important both as a matter of principle and for applications.

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    The paper derives the two-loop coefficient functions for the operator product expansion of two electromagnetic currents in general kinematics, the central ingredient for next-to-next-to-leading-order DDVCS predictions.

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