A new approach to the random field problem

Moshe Schwartz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)199-203
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume107
Issue number5
DOIs
StatePublished - 4 Feb 1985

Funding

FundersFunder number
US-IsraelB inationaSl cienceF oundation

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