Nonperturbative renormalization group approach to Lifshitz critical behaviour
LPTMC, CNRS UMR 7600, UPMC - 4 Place Jussieu, 75252 Paris Cedex 05, France, EU
2 LPTM, CNRS UMR 8089- Université de Cergy-Pontoise - 2 avenue Adolphe Chauvin 95302 Cergy-Pontoise Cedex, France, EU
Accepted: 14 May 2012
The behaviour of a d-dimensional vectorial N=3 model at a m-axial Lifshitz critical point is investigated by means of a nonperturbative renormalization group approach that is free of the huge technical difficulties that plague the perturbative approaches and limit their computations to the lowest orders. In particular being systematically improvable, our approach allows us to control the convergence of successive approximations and thus to get reliable physical quantities in d=3.
PACS: 11.10.Hi – Renormalization group evolution of parameters / 64.60.F- – Equilibrium properties near critical points, critical exponents / 11.15.Tk – Other nonperturbative techniques
© EPLA, 2012