Operator Algebra and the Determination of Critical Indices
- 22 December 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 23 (25) , 1430-1433
- https://doi.org/10.1103/physrevlett.23.1430
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.Keywords
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