临界指数在m轴Lifshitz点的1/n展开式和1/n展开式的相容性
Compatibility of 1/n and epsilon expansions for critical exponents at m-axial Lifshitz points
摘要：
在m轴Lifshitz点上，考虑d维n向量模型在大n极限下m的一般值的临界行为.证明了最近获得的大N展开[J. Phys.：康登斯Matter 17，S1947（2005）]的相关指数η_{L2}、η_{L4}和相关的各向异性指数θ与ε=4+m/2-d的二阶维数展开完全一致[Phys.Rev.B62，12338（2000）; Nucl.Phys.B612，340（2001）]，因为两种展开式都产生了相同的ε^2/n阶贡献。
英文摘要：
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.
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