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 (Shpot et al 2005 J. Phys.: Condens. Matter 17 S1947) of the correlation exponents η_L2, η_L4 and the related anisotropy exponent θ are fully consistent with the dimensionality expansions to second order in = 4 + m/2 - d (Diehl and Shpot 2000 Phys. Rev. B 62 12338; Shpot and Diehl 2001 Nucl. Phys. B 612 340) inasmuch as both expansions yield the same contributions of order ²/n.

PACS numbers: 05.20.-y, 11.10.Kk, 64.60.Ak, 64.60.Fr

Print publication: Issue 13 (4 April 2008)
Received 31 January 2008
Published 14 March 2008