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Ising Field Theory on a Pseudosphere

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arxiv hep-th/0404136 v1 pith:X4XYFS7D submitted 2004-04-19 hep-th

Ising Field Theory on a Pseudosphere

classification hep-th
keywords fieldisingpseudospheretheoryassociatedbriefconnectioncorrelation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show how the symmetries of the Ising field theory on a pseudosphere can be exploited to derive the form factors of the spin fields as well as the non-linear differential equations satisfied by the corresponding two-point correlation functions. The latter are studied in detail and, in particular, we present a solution to the so-called connection problem relating two of the singular points of the associated Painleve VI equation. A brief discussion of the thermodynamic properties is also presented.

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  1. Ising the way into de Sitter

    hep-th 2026-07 conditional novelty 8.0

    The two-dimensional thermal Ising model on de Sitter provides exact cosmological correlators that stay finite at late times, with perturbative secular logarithms resummed into principal-series oscillations.