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expansions for critical exponents at m-axial Lifshitz points 2008 J. Phys. A: Math. Theor. 41 135003 (7pp) doi: 10.1088/1751-8113/41/13/135003
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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 ηL2, ηL4 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) |
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