Renormalization group flow equations with full momentum dependence

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Prepared for the Theme Issue of Phil. Trans. R. Soc. "New applications of the renormalization group in nuclear, particle and c

Scientific paper

10.1098/rsta.2011.0071

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.

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