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

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dc.creatorShpot, M. A.
dc.creatorDiehl, H. W.
dc.creatorPis'mak, Yu. M.
dc.date2008-02-18
dc.date.accessioned2026-07-07T09:27:28Z
dc.date.available2026-07-07T09:27:28Z
dc.descriptionThe 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.
dc.description8 pages, submitted to J. Phys. A
dc.identifierhttps://arxiv.org/abs/0802.2434
dc.identifierhttp://arxiv.org/abs/0802.2434
dc.identifierJ. Phys. A: Math. Theor. 41, 135003 (2008)
dc.identifierdoi:10.1088/1751-8113/41/13/135003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157114
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleCompatibility of 1/n and epsilon expansions for critical exponents at m-axial Lifshitz points
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