Renormalization-Group Improvement of Effective Actions Beyond Summation of Leading Logarithms

Physics

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Scientific paper

Effective actions are invariant under changes in the renormalization scale μ. The renormalization group is seen to yield differential equations whose solutions are closed form expressions for successive sums of subleading logarithmic contributions to the effective action. This procedure can be applied to any order, provided the coefficient of the zeroth order logarithm has been previously calculated at that order in perturbation theory. We demonstrate this using the φ 63 model.

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