Physical Review Letters

Operator Algebra and the Determination of Critical Indices

Leo P. Kadanoff

Published Dec 22, 1969• 195 citations

Abstract

The "reduction hypothesis" proposes that a product of nearby fluctuating local variables can be replaced by a linear combination of individual local variables. The linear combinations thereby produced are a kind of algebra of the reduction of products. A particular algebra is proposed for the two-dimensional Ising model. It is shown that a knowledge of which coefficients in the algebra are nonvanishing is sufficient to determine all critical indices.

DOI: 10.1103/physrevlett.23.1430

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