Exact renormalization group and Phi-derivable approximations
arXiv:1009.6048 · doi:10.1016/j.physletb.2010.12.058
Abstract
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.
15 pages, 2 figures