Ising field theory in a magnetic field: analytic properties of the free energy

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dc.creatorFonseca, P.
dc.creatorZamolodchikov, A.
dc.date2001-12-19
dc.date.accessioned2026-07-07T04:12:51Z
dc.date.available2026-07-07T04:12:51Z
dc.descriptionWe 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".
dc.description65 pages, 23 eps figures; uses harvmac.tex
dc.identifierhttps://arxiv.org/abs/hep-th/0112167
dc.identifierhttp://arxiv.org/abs/hep-th/0112167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51051
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleIsing field theory in a magnetic field: analytic properties of the free energy
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