Two-loop Yang-Mills theory in the world-line formalism and an   Euler-Heisenberg type action
  Within the framework of the world-line formalism we write down in detail a two-loop Euler-Heisenberg type action for gluon loops in Yang-Mills theory and discuss its divergence structure. We exactly perform all the world-line moduli integrals at two loops by inserting a mass parameter, and then extract divergent coefficients to be renormalized. 
Haru-Tada Sato, Michael G. Schmidt and Claus Zahlten