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

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

2008-02-18

arxiv.org/abs/0802.2434v1

J. Phys. A: Math. Theor. 41, 135003 (2008)

Physics

Condensed Matter

Statistical Mechanics

8 pages, submitted to J. Phys. A

Scientific paper

10.1088/1751-8113/41/13/135003

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 \eta_{L2}, \eta_{L4} and the related anisotropy exponent \theta are fully consistent with the dimensionality expansions to second order in \epsilon=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 \epsilon^2/n.

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