====== TTP10-42 Massless correlators of vector, scalar and tensor currents in  position space at   orders &alpha;<sub>s</sub><sup>3</sup>   and &alpha;<sub>s</sub><sup>4</sup> : explicit analytical results ======
 
 
      <hidden TTP10-42  Massless correlators of vector, scalar and tensor currents in  position space at   orders &alpha;<sub>s</sub><sup>3</sup>   and &alpha;<sub>s</sub><sup>4</sup> : 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.
 </hidden>
|**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]]   |
| |