Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-12-21
Phys.Lett.B322:198-206,1994
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, LaTeX
Scientific paper
10.1016/0370-2693(94)91107-X
Zamolodchikov found an integrable field theory related to the Lie algebra E$_8$, which describes the scaling limit of the Ising model in a magnetic field. He conjectured that there also exist solvable lattice models based on E$_8$ in the universality class of the Ising model in a field. The dilute A$_3$ model is a solvable lattice model with a critical point in the Ising universality class. The parameter by which the model can be taken away from the critical point acts like a magnetic field by breaking the $\Integer_2$ symmetry between the states. The expected direct relation of the model with E$_8$ has not been found hitherto. In this letter we study the thermodynamics of the dilute A$_3$ model and show that in the scaling limit it exhibits an appropriate E$_8$ structure, which naturally leads to the E$_8$ scattering theory for massive excitations over the ground state.
Bazhanov Vladimir V.
Nienhuis Bernard
Warnaar Ole S.
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