English

Convexity of the effective action from functional flows

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0602140,
  title  = {Convexity of the effective action from functional flows},
  author = {Daniel F. Litim and Jan M. Pawlowski and Lautaro Vergara},
  journal= {arXiv preprint arXiv:hep-th/0602140},
  year   = {2007}
}

Comments

4 pages, 3 figures