The background-field method is used to evaluate the logarithmic contributions to a nonlocal three-quark operator on the light-cone. The operator is composed of nonlocal operators of different spins, whose anomalous dimensions are obtained by choosing the Weyl representation for the Dirac matrices in the nonlocal results. The anomalous dimensions of the corresponding local three-quark operators calculated by conventional approaches are obtained by local expansion of the nonlocal results.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)