Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations

Details Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations

2010-10-08

arxiv.org/abs/1010.1586v1

Mathematics

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146 pages

Scientific paper

We consider the percolation problem in the high-temperature Ising model on
the two-dimensional square lattice at/near critical external fields. We show
that all scaling relations, except a single hyperscaling relation, hold under
the power law assumptions for the one-arm path and four-arm paths.

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