Migdal-Kadanoff renormalization group for theO(n) model |
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| Authors: | Thomas A. Larsson |
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| Affiliation: | (1) Department of Theoretical Physics, Royal Institute of Technology, S-100 44 Stockholm, Sweden |
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| Abstract: | We perform a Migdal-Kadanoff renormalization group calculation on anO(n) symmetric model on ad-dimensional hypercubic lattice,d=2, 3. We find that in two dimensions the critical fixed point disappears asn=nKT 1.96, which is in good agreement with the exact valuenKT=2. In three dimensions the fixed point persists much longer, albeit not all the way up to infinity. Surface critical phenomena in a semiinfiniteO(n) model are also considered. |
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| Keywords: | Migdal-Kadanoff renormalization group O(n) model surface critical phenomena |
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