English

Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results

High Energy Physics - Phenomenology 2011-01-13 v1 High Energy Physics - Lattice

Abstract

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.

Keywords

Cite

@article{arxiv.1010.1145,
  title  = {Massless correlators of vector, scalar and tensor currents in position space at orders alpha_s^3 and alpha_s^4: explicit analytical results},
  author = {K. G. Chetyrkin and A. Maier},
  journal= {arXiv preprint arXiv:1010.1145},
  year   = {2011}
}

Comments

29 pages, 2 figures