Renormalization group flow equations with full momentum dependence

Abstract

After a short elementary introduction to the exact renormalization group for the effective action, I discuss a particular truncation of the hierarchy of flow equations that allows for the determination of the full momentum of the $n$-point functions. Applications are then briefly presented, to critical O(N) models, to Bose-Einstein condensation and to finite temperature field theory.

Prepared for the Theme Issue of Phil. Trans. R. Soc. "New applications of the renormalization group in nuclear, particle and condensed matter physics", eds. by Y. Meurice, R. Perry and S.-W. Tsai