Critical exponent of susceptibility for a class of general ferromagnets in d>4 dimensions

Kei Ichi Kondo; Takashi Hara

doi:10.1063/1.527516

Critical exponent of susceptibility for a class of general ferromagnets in d>4 dimensions

Kei Ichi Kondo, Takashi Hara

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Abstract

A "rigorous proof" is presented that the critical exponent γ of the susceptibility χ takes its mean field value in d>4 dimensions for ferromagnets with single spin measure in the Brydges- Fröhlich-Spencer class, modulo a numerical calculation of a certain function I(d) of dimension d. This class of ferromagnets contains, for example, the Ising spin model and lattice scalar φ⁴ model.

Original language	English
Pages (from-to)	1206-1208
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	28
Issue number	5
DOIs	https://doi.org/10.1063/1.527516
Publication status	Published - Jan 1 1987
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.527516

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abstract = "A {"}rigorous proof{"} is presented that the critical exponent γ of the susceptibility χ takes its mean field value in d>4 dimensions for ferromagnets with single spin measure in the Brydges- Fr{\"o}hlich-Spencer class, modulo a numerical calculation of a certain function I(d) of dimension d. This class of ferromagnets contains, for example, the Ising spin model and lattice scalar φ4 model.",

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N2 - A "rigorous proof" is presented that the critical exponent γ of the susceptibility χ takes its mean field value in d>4 dimensions for ferromagnets with single spin measure in the Brydges- Fröhlich-Spencer class, modulo a numerical calculation of a certain function I(d) of dimension d. This class of ferromagnets contains, for example, the Ising spin model and lattice scalar φ4 model.

AB - A "rigorous proof" is presented that the critical exponent γ of the susceptibility χ takes its mean field value in d>4 dimensions for ferromagnets with single spin measure in the Brydges- Fröhlich-Spencer class, modulo a numerical calculation of a certain function I(d) of dimension d. This class of ferromagnets contains, for example, the Ising spin model and lattice scalar φ4 model.

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Critical exponent of susceptibility for a class of general ferromagnets in d>4 dimensions

Abstract

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