New approximate renormalization method on fractals

Kumiko Hattori; Tetsuya Hattori; Hiroshi Watanabe

doi:10.1103/PhysRevA.32.3730

New approximate renormalization method on fractals

Kumiko Hattori, Tetsuya Hattori, Hiroshi Watanabe

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

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	https://doi.org/10.1103/PhysRevA.32.3730
Publication status	Published - 1985
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.32.3730

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title = "New approximate renormalization method on fractals",

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 Sierpi{\'n}ski type, the results are smaller than the values obtained by the Migdal-Kadanoff renormalization.",

author = "Kumiko Hattori and Tetsuya Hattori and Hiroshi Watanabe",

year = "1985",

doi = "10.1103/PhysRevA.32.3730",

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AU - Hattori, Kumiko

AU - Hattori, Tetsuya

AU - Watanabe, Hiroshi

PY - 1985

Y1 - 1985

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AB - 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.

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U2 - 10.1103/PhysRevA.32.3730

DO - 10.1103/PhysRevA.32.3730

M3 - Article

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EP - 3733

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

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New approximate renormalization method on fractals

Abstract

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