On the boundary Ising model with disorder operators

Details On the boundary Ising model with disorder operators On the boundary Ising model with disorder operators

2000-02-25

arxiv.org/abs/hep-th/0002218v1

Nucl.Phys. B596 (2001) 513-524

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex2e, 6 figures

Scientific paper

10.1016/S0550-3213(00)00720-3

We extend the well-known method of calculating bulk correlation functions of the conformal Ising model via bosonisation to situations with boundaries. Oshikawa and Affleck have found the boundary states of two decoupled Ising models in terms of the orbifold of a single free boson compactified on a circle of radius r=1; we adapt their results to include disorder operators. Using these boundary states we calculate the expectation value of a single disorder field on a cylinder with free boundary conditions and show that in the appropriate limits we recover the standard and frustrated partition functions. We also show how to calculate Ising correlation functions on the upper half plane.

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