Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-19
Physics
High Energy Physics
High Energy Physics - Theory
65 pages, 23 eps figures; uses harvmac.tex
Scientific paper
We study the analytic properties of the scaling function associated with the 2D Ising model free energy in the critical domain $T \to T_c$, $H \to 0$. 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".
Fonseca Pedro
Zamolodchikov Al.
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