Block spin techniques applied to the ising model |
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| Authors: | S. Duane R. R. Horgan D. M. Scott |
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| Affiliation: | 1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW, Cambridge, UK
2. DPh-T, CEN Saclay, F-91191, Gif-sur-Yvette Cedex, France
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| Abstract: | A detailed study of the critical behaviour of the Ising model in 1+1 and 2+1 dimensions is made using an approximate real space renormalization transformation which involves block spins. The critical indices α, β, η, and ν are calculated and compared with previous results, as is the critical couplingy c. The method is shown to respect one of the scaling relations, and in 1+1D some exact results are reproduced (y c=1, ν=1). |
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