Convexity of the effective action from functional flows

Details Convexity of the effective action from functional flows Convexity of the effective action from functional flows

2006-02-14

arxiv.org/abs/hep-th/0602140v1

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 3 figures

Scientific paper

We show that convexity of the effective action follows from its functional flow equation. Our analysis is based on a new, spectral representation. The results are relevant for the study of physical instabilities. We also derive constraints for convexity-preserving regulators within general truncation schemes including proper-time flows, and bounds for infrared anomalous dimensions of propagators.

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