60 citations · 140 across the 3 of their papers we have counts for
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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…
Wilson-Polchinski exact renormalization group equation for O(N) systems: Leading and next-to-leading orders in the derivative expansion
C. Bervillier
With a view to study the convergence properties of the derivative expansion of the exact renormalization group (RG) equation, I explicitly study the leading and next-to-leading ord…
Exact renormalization group equation for the Lifshitz critical point
C. Bervillier
An exact renormalization equation (ERGE) accounting for an anisotropic scaling is derived. The critical and tricritical Lifshitz points are then studied at leading order of the der…