ISSN:
1572-9613
Keywords:
Decimation
;
Renormalization-group
;
non-Gibbsianness
;
Finite-size conditions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The results recently obtained by van Enter, Fernandez, and Sokal on non-Gibbsianness of the measurev =T b μβ,h arising from the application of a single decimation transformationT b , with spacingb, to the Gibbs measure μβ,h , of the Ising model, for suitably chosen large inverse temperatureβ and nonzero external fieldh, are critically analyzed. In particular, we show that if, keeping fixed the same values ofβ, h, andb, one iterates a sufficiently large number of timesn the transformationT b , one obtains a new measurev ′ = (T b )nμβ,h which is Gibbsian and moreover very weakly coupled.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01048184
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