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

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Cited by in corpus (7)

• Renormalization group methods and the 2PI effective action
• The 2PI effective theory at next-to-leading order using the functional renormalization group
• Renormalization group flow equations connected to the $n$PI effective action
• New applications of the renormalization group method in physics -- a brief introduction
• Renormalization of the 4PI effective action using the functional renormalization group
• Wave propagation in non Gaussian random media
• A functional renormalization method for wave propagation in random media