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 — preprints:2010:ttp10-42 [2016/03/17 11:03] (current) Line 1: Line 1: + ====== TTP10-42 Massless correlators of vector, scalar and tensor currents in  position space at   ​orders &​alpha;<​sub>​s<​sup>​3 ​  and &​alpha;<​sub>​s<​sup>​4​ : explicit analytical results ====== + + + ​s<​sup>​3 ​  and &​alpha;<​sub>​s<​sup>​4​ : explicit analytical results > We present ​ analytical results both in  momentum and + position ​ space for the massless correlators of the vector and + scalar currents to order alpha_s^4 as well as for the tensor + currents to order alpha_s^3. The evolution + equations for the correlators together with   all relevant + anomalous dimensions are discussed in  detail. + As an  application we present explicit conversion formulas ​ relating + the MSbar-renormalized vector, scalar and tensor currents to their counterparts + renormalized in the X-space renormalization scheme more appropriate for lattice + calculations. + ​ + |**K. G. Chetyrkin, A. Maier** ​ | + |** Nucl. Phys. B844 266-288 2011  **  | + | {{preprints:​2010:​ttp10-42.pdf|PDF}} {{preprints:​2010:​ttp10-42.ps|PostScript}} [[http://​arxiv.org/​abs/​1010.1145|arXiv]] [[http://​ttp.kit.edu/​Progdata/​ttp10/​ttp10-42|Programs and Data]] ​  | + | |