Accurate critical exponents for Ising like systems in non-integer dimensions
Open Access
- 1 January 1987
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 48 (1) , 19-24
- https://doi.org/10.1051/jphys:0198700480101900
Abstract
In a recent article we have shown that, by applying sophisticated summation methods to Wilson-Fisher's ε-expansion, it is possible from the presently known terms of the series to obtain accurate values of critical exponents for the 0 ( n ) symmetric n-vector model : these values are consistent with the best estimates obtained from three-dimensional Renormalization Group calculations and, in the case of Ising-like systems, with the exactly known two-dimensional values of the Ising model. The controversial conjecture has been recently formulated that some fractal lattices could interpolate regular lattices in non-integer dimensions. Numerical calculations have been done for the Ising model. To allow for direct comparison with Renormalization Group values, we present here estimates for exponents in non-integer dimensions d(Keywords
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