Ising Field Theory on a Pseudosphere

Abstract

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.

39 pages, 6 eps figures, uses harvmac

References in corpus (2)

• Two-point correlation functions of scaling fields in the Dirac theory on the Poincare disk
• Scaling Lee-Yang Model on a Sphere. I. Partition Function

Cited by in corpus (13)

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• CFT in AdS and boundary RG flows
• Geometric effects on critical behaviours of the Ising model
• Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method
• Critical properties of the Ising model in hyperbolic space
• The dynamic exponent of the Ising model on negatively curved surfaces
• Phase Transition of the Ising model on a Hyperbolic Lattice
• Bootstrap percolation and kinetically constrained models on hyperbolic lattices
• Thermodynamics and structure of simple liquids in the hyperbolic plane
• Correlation functions of twist fields from Ward identities in the massive Dirac theory
• Form factors of twist fields in the lattice Dirac theory
• More General Correlation Functions of Twist Fields From Ward Identities in the Massive Dirac Theory