Exact Partition Function and Boundary State of 2-D Massive Ising Field Theory with Boundary Magnetic Field

Details Exact Partition Function and Boundary State of 2-D Massive Ising Field Theory with Boundary Magnetic Field Exact Partition Function and Boundary State of 2-D Massive Ising Field Theory with Boundary Magnetic Field

1995-09-14

arxiv.org/abs/hep-th/9509071v1

Nucl.Phys. B468 (1996) 439-460

Physics

High Energy Physics

High Energy Physics - Theory

plain latex, 17 pages plus 11 figures in 3 .ps files, uuencoded in isfig.uu

Scientific paper

10.1016/0550-3213(96)00134-4

We compute the exact partition function, the universal ground state degeneracy and boundary state of the 2-D Ising model with boundary magnetic field at off-critical temperatures. The model has a domain that exhibits states localized near the boundaries. We study this domain of boundary bound state and derive exact expressions for the ``$g$ function'' and boundary state for all temperatures and boundary magnetic fields. In the massless limit we recover the boundary renormalization group flow between the conformally invariant free and fixed boundary conditions.

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