8 papers
Classical-to-critical crossovers from field theory
C. Bagnuls, C. Bervillier
We extent the previous determinations of nonasymptotic critical behavior of Phys. Rev B32, 7209 (1985) and B35, 3585 (1987) to accurate expressions of the complete classical-to-cri…
Exact renormalization group equations and the field theoretical approach to critical phenomena
C. Bagnuls, C. Bervillier
After a brief presentation of the exact renormalization group equation, we illustrate how the field theoretical (perturbative) approach to critical phenomena takes place in the mor…
Nonasymptotic critical behavior from field theory
C. Bagnuls, C. Bervillier
The obtention (up to five or six loop orders) of nonasymptotic critical behavior, above and below Tc, from the field theoretical framework is presented and discussed.
Addendum-erratum to: ``Nonasymptotic critical behavior from field theory at d=3. II. The ordered-phase case. Phys. Rev. B35, 3585 (1987)
C. Bagnuls, C. Bervillier, D. I. Meiron +1
This note is intended to emphasize the existence of estimated Feynman integrals in three dimensions for the free energy of the O(1) scalar theory up to five loops which may be usef…
Renormalization group domains of the scalar Hamiltonian
C. Bagnuls, C. Bervillier
Using the local potential approximation of the exact renormalization group (RG) equation, we show the various domains of values of the parameters of the O(1)-symmetric scalar Hamil…
Exact Renormalization Group Equations. An Introductory Review
C. Bagnuls, C. Bervillier
We critically review the use of the exact renormalization group equations (ERGE) in the framework of the scalar theory. We lay emphasis on the existence of different versions of th…