Zeta functions, renormalization group equations, and the effective action

Details Zeta functions, renormalization group equations, and the effective action Zeta functions, renormalization group equations, and the effective action

1998-09-30

arxiv.org/abs/hep-th/9809206v1

Phys.Rev.Lett. 81 (1998) 4802-4805

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, ReV-TeX 3.1

Scientific paper

10.1103/PhysRevLett.81.4802

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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