%0 Journal Article %1 Hochberg:1998sv %A Hochberg, David %A Molina-Paris, Carmen %A Perez-Mercader, Juan %A Visser, Matt %D 1998 %J Phys. Rev. Lett. %K FRG Renormalisation ZetaFunction %P 4802-4805 %R 10.1103/PhysRevLett.81.4802 %T Zeta functions, renormalization group equations, and the effective action %U http://www.slac.stanford.edu/spires/find/hep/www?rawcmd=find+t+zeta+functions+renormalisation+group+equations %V 81 %X Abstract: 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.

@article{Hochberg:1998sv, abstract = { Abstract: 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. }, added-at = {2009-06-22T10:56:53.000+0200}, archiveprefix = {arXiv}, author = {Hochberg, David and Molina-Paris, Carmen and Perez-Mercader, Juan and Visser, Matt}, biburl = {https://www.bibsonomy.org/bibtex/227b6f684fe2f5eef9c7a4476e244ade4/gber}, description = {SPIRES-HEP: FIND T ZETA FUNCTIONS RENORMALISATION GROUP EQUATIONS}, doi = {10.1103/PhysRevLett.81.4802}, eprint = {hep-th/9809206}, interhash = {36f576a98e0431dbd50d0dbe4b5f065e}, intrahash = {27b6f684fe2f5eef9c7a4476e244ade4}, journal = {Phys. Rev. Lett.}, keywords = {FRG Renormalisation ZetaFunction}, pages = {4802-4805}, slaccitation = {%%CITATION = HEP-TH/9809206;%%}, timestamp = {2009-06-22T10:56:53.000+0200}, title = {{Zeta functions, renormalization group equations, and the effective action}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?rawcmd=find+t+zeta+functions+renormalisation+group+equations}, volume = 81, year = 1998 }