Articles in peer-reviewed journals
| Local scale invariance and strongly anisotropic equilibrium critical systems |
| Henkel M. |
| Physical Review Letters 78 (1997) 1940 |
| ArXiv : cond-mat/9610174 [PDF] |
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 Schroedinger 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 model at its Lifshitz points of first and second order. |