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arXiv · 0802.2434

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

M. A. Shpot·H. W. Diehl·Yu. M. Pis'mak
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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 [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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M. A. Shpot, H. W. Diehl, Yu. M. Pis'mak. 2008-02-18. Compatibility of 1/n and epsilon expansions for critical exponents at m-axial Lifshitz points. https://doi.org/10.1088/1751-8113/41/13/135003

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