M A Shpot et al 2008 J. Phys. A: Math. Theor. 41 135003 doi:10.1088/1751-8113/41/13/135003
Compatibility of 1/n and 
expansions for critical exponents at m-axial Lifshitz points
M A Shpot1,2, H W Diehl2 and Yu M Pis'mak2,3
Show affiliationsThe 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
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64.60.A- Specific approaches applied to studies of phase transitions
64.60.F- Equilibrium properties near critical points, critical exponents
- MSC
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42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
82B28 Renormalization group methods (See also 81T17)
- Subjects
- Dates
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Issue 13 (4 April 2008)
Received 31 January 2008
Published 14 March 2008
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Compatibility of 1/n and expansions for critical exponents at m-axial Lifshitz points
M A Shpot et al 2008 J. Phys. A: Math. Theor. 41 135003
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