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Renormalization of Dyson's hierarchical vector valued φ4 model at low temperatures (1984)

Bleher, P. M. ; Major, P.

Springer

Communications in mathematical physics 95 (1984), S. 487-532

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We investigate Dyson's hierarchical vector valued φ4 model at low temperatures. The case $$2 〉 c 〉 \sqrt 2 $$ is considered. The pure phase is constructed, and the existence of its large scale limit is proved. The limit is Gaussian, but an unusual normalization has to be chosen. In the direction of the spontaneous magnetization one has to divide by the square root of the volume, but in the orthogonal direction one has to divide by a different power of the volume for all low temperatures.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01210834

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