Zeta functions, renormalization group equations, and the effective   action
  We demonstrate how to extract all the one-loop renormalization group equations for arbitrary quantum field theories from knowledge of an appropriate Seeley--DeWitt coefficient. By formally solving the renormalization group equations to one loop, we renormalization group improve the classical action, and use this to derive the leading-logarithms in the one-loop effective action for arbitrary quantum field theories. 
David Hochberg (LAEFF, Madrid), Carmen Molina-Paris (Los Alamos), Juan   Perez-Mercader (LAEFF, Madrid), Matt Visser (Washin...