Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 110, Issue 3-6, Pages 527-590Publisher
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1022147532606
Keywords
Ising model; free energy; analytic structure; metastability
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We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain T --> T-c, H --> 0. The analysis is based on numerical data obtained through the Truncated Free Fermion Space Approach. We determine the discontinuities across the Yang Lee and Langer branch cuts. We confirm the standard analyticity assumptions and propose extended analyticity; roughly speaking, the latter states that the Yang Lee branching point is the nearest singularity under Langer s branch cut. We support the extended analyticity by evaluating numerically the associated extended dispersion relation.
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