Perturbation theory and renormalisation group equations

Abstract

We discuss the perturbative expansion of several one-loop improved renormalisation group equations. It is shown that in general the integrated renormalisation group flows fail to reproduce perturbation theory beyond one loop.

5 pages, 1 figure, revtex, typos corrected, eq. (19) added, discussion extended, to appear in PRD

References in corpus (5)

• Exact evolution equation for the effective potential
• Predictive power of renormalisation group flows: a comparison
• Improving the Renormalization Group approach to the quantum-mechanical double well potential
• Proper time regulator and Renormalization Group flow
• Renormalization Group Flow in large N_c

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