Compatibility of 1/n and epsilon expansions for critical exponents at m-axial Lifshitz points

Abstract

The critical behaviour of d-dimensional n-vector models at m-axial Lifshitz points is considered for general values of m in the large-n limit. It is proven that the recently obtained large-N expansions [J. Phys.: Condens. Matter 17, S1947 (2005)] of the correlation exponents η_{L2}, η_{L4} and the related anisotropy exponent θare fully consistent with the dimensionality expansions to second order in ε=4+m/2-d [Phys. Rev. B 62, 12338 (2000); Nucl. Phys. B 612, 340 (2001)] inasmuch as both expansions yield the same contributions of order ε^2/n.

8 pages, submitted to J. Phys. A

References in corpus (1)

• Large-n expansion for m-axial Lifshitz points

Cited by in corpus (4)

• Isotropic Lifshitz critical behavior from the functional renormalization group
• Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points
• Dynamic critical exponent in quantum long-range models
• Supersymmetric Quantum Spherical Spins with Short-Range Interactions