Abstract
We introduce a new approximate block-spin transformation, and applying this method to the massless free field on fractals, we obtain approximate values of the spectral dimension. For fractals of the Sierpiński type, the results are smaller than the values obtained by the Migdal-Kadanoff renormalization.
| Original language | English |
|---|---|
| Pages (from-to) | 3730-3733 |
| Number of pages | 4 |
| Journal | Physical Review A |
| Volume | 32 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1985 Jan 1 |
| Externally published | Yes |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
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Cite this
Hattori, K., Hattori, T., & Watanabe, H. (1985). New approximate renormalization method on fractals. Physical Review A, 32(6), 3730-3733. https://doi.org/10.1103/PhysRevA.32.3730