TY - JOUR

T1 - A new approach to the random field problem

AU - Schwartz, Moshe

N1 - Funding Information:
I would like to thank Y. Imry, A. Aharony,M . Kosterlitza nd R. Pelcovitsfo r many interestindgi scussionsI . am gratefutlo W. Swendsenfo r bringingr ef. \[5\]t o my attentiona fterthe presenwt orkwas completedT.h is work was supporteidn part by the US-IsraelB inationaSl cienceF oundation.

PY - 1985/2/4

Y1 - 1985/2/4

N2 - A new approach to quenched random problems, based on constructing an equivalent annealed system, is presented. The difficulties with the existing solutions of the random field problem are discussed. The new approach is applied to the random field problem yielding a different new result for the dimensionality shift. A by-product of this result is that the lower critical dimension is 2 for the Ising model.

AB - A new approach to quenched random problems, based on constructing an equivalent annealed system, is presented. The difficulties with the existing solutions of the random field problem are discussed. The new approach is applied to the random field problem yielding a different new result for the dimensionality shift. A by-product of this result is that the lower critical dimension is 2 for the Ising model.

UR - http://www.scopus.com/inward/record.url?scp=32844458026&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(85)90580-8

DO - 10.1016/0375-9601(85)90580-8

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AN - SCOPUS:32844458026

SN - 0375-9601

VL - 107

SP - 199

EP - 203

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5

ER -