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Local scale invariance and strongly anisotropic equilibrium critical systems

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arxiv cond-mat/9610174 v2 pith:5QVQ4QJL submitted 1996-10-24 cond-mat.stat-mech hep-lathep-th

Malte Henkel This is my paper · ORCID
classification cond-mat.stat-mechhep-lathep-th
keywords invarianceanisotropiccasescriticalfunctionknownscalespecial
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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 \theta =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 Schr\"odinger 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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Cited by 4 Pith papers

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  4. Remarks on Galilean electromagnetism

    physics.class-ph 2026-01 unverdicted novelty 4.0 of 10

    The electric and magnetic nonrelativistic limits of Maxwell's equations with sources are invariant under the ℓ-conformal Galilei group for any half-integer ℓ, and this symmetry permits unphysical accelerating solutions.

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