Exact renormalization group and Phi-derivable approximations

Details Exact renormalization group and Phi-derivable approximations Exact renormalization group and Phi-derivable approximations

2010-09-30

arxiv.org/abs/1009.6048v1

Phys.Lett.B696:523-528,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 2 figures

Scientific paper

10.1016/j.physletb.2010.12.058

We show that the so-called Phi-derivable approximations can be combined with the exact renormalization group to provide efficient non-perturbative approximation schemes. On the one hand, the Phi-derivable approximations allow for a simple truncation of the infinite hierarchy of the renormalization group flow equations. On the other hand, the flow equations turn the non linear equations that derive from the Phi-derivable approximations into an initial value problem, offering new practical ways to solve these equations.

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