Zeta functions, renormalization group equations, and the effective action
Sep, 1998
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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.- effective action
- renormalization group
- regularization: zeta function
- leading logarithm approximation
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