Zeta Functions, Renormalization Group Equations, and the Effective Action

David Hochberg, Carmen Molina-París, Juan Pérez-Mercader, Matt Visser
1998 Physical Review Letters  
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.
doi:10.1103/physrevlett.81.4802 fatcat:fjhrfag2dfb3nm5bzn33fmiw24