441 citations · 1.1k across the 21 of their papers we have counts for
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Structure of Exact Renormalization Group Equations for field theory
C. Bervillier
It is shown that exact renormalization group (RG) equations (including rescaling and field-renormalization) for respectively the scale-dependent full action and the scale-…
Revisiting the local potential approximation of the exact renormalization group equation
C. Bervillier
The conventional absence of field renormalization in the local potential approximation (LPA) --implying a zero value of the critical exponent η-- is shown to be incompatible with t…
The Wilson exact renormalization group equation and the anomalous dimension parameter
C. Bervillier
The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice.…
Analytical approximation schemes for solving exact renormalization group equations. II Conformal mappings
C. Bervillier, B. Boisseau, H. Giacomini
We present a new efficient analytical approximation scheme to two-point boundary value problems of ordinary differential equations (ODEs) adapted to the study of the derivative exp…
Analytical approximation schemes for solving exact renormalization group equations in the local potential approximation
C. Bervillier, B. Boisseau, H. Giacomini
The relation between the Wilson-Polchinski and the Litim optimized ERGEs in the local potential approximation is studied with high accuracy using two different analytical approache…
High-accuracy scaling exponents in the local potential approximation
Claude Bervillier, Andreas Juttner, Daniel F. Litim
We test equivalences between different realisations of Wilson's renormalisation group by computing the leading, subleading, and anti-symmetric corrections-to-scaling exponents, and…