Massless correlators of vector, scalar and tensor currents in position space at orders αs~3 and αs~4: Explicit analytical results

摘要

We present analytical results both in momentum and position space for the massless correlators of the vector and scalar currents to order s~4 as well as for the tensor currents to order 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 MS?-renormalized vector, scalar and tensor currents to their counterparts renormalized in the X-space renormalization scheme more appropriate for lattice calculations.