Nonperturbative renormalization group approach to Lifshitz critical behaviour

Abstract

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.

6 pages, 3 figures

Cited by in corpus (10)

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• Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points
• Thermodynamic Casimir forces in strongly anisotropic systems within the $N\to \infty$ class
• Optimized regulator for the quantized anharmonic oscillator
• Casimir forces for the ideal Bose gas in anisotropic optical lattices: the effect of alternating sign upon varying dimensionality
• A Feynman integral in Lifshitz-point and Lorentz-violating theories in $R^D\oplus R^m$
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