Convexity of the effective action from functional flows
Daniel F. Litim, Jan M. Pawlowski, Lautaro Vergara
Abstract
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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