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Local scale invariance and strongly anisotropic equilibrium critical systems

Malte Henkel
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Abstract

A new set of infinitesimal transformations generalizing scale invariance for strongly anisotropic critical systems is considered. It is shown that such a generalization is possible if the anisotropy exponent θ=2/N, with N=1,2,3 ... Differential equations for the two-point function are derived and explicitly solved for all values of N. Known special cases are conformal invariance (N=2) and Schrödinger invariance (N=1). For N=4 and N=6, the results contain as special cases the exactly known scaling forms obtained for the spin-spin correlation function in the axial next nearest neighbor spherical (ANNNS) model at its Lifshitz points of first and second order.

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BibTeXRIS

Malte Henkel. 1997-02-23. Local scale invariance and strongly anisotropic equilibrium critical systems. https://doi.org/10.1103/physrevlett.78.1940

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