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arXiv · hep-th/9809206

Zeta functions, renormalization group equations, and the effective action

David Hochberg·Carmen Molina-Paris·Juan Perez-Mercader·Matt Visser
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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.

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David Hochberg, Carmen Molina-Paris, Juan Perez-Mercader, Matt Visser. 1998-09-30. Zeta functions, renormalization group equations, and the effective action. https://doi.org/10.1103/physrevlett.81.4802

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