Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-05-25
J.Statist.Phys. 74 (1994) 469-531
Physics
High Energy Physics
High Energy Physics - Theory
53 pages, LaTex, ITFA 93-15
Scientific paper
10.1007/BF02188569
The free energy and local height probabilities of the dilute A models with broken $\Integer_2$ symmetry are calculated analytically using inversion and corner transfer matrix methods. These models possess four critical branches. The first two branches provide new realisations of the unitary minimal series and the other two branches give a direct product of this series with an Ising model. We identify the integrable perturbations which move the dilute A models away from the critical limit. Generalised order parameters are defined and their critical exponents extracted. The associated conformal weights are found to occur on the diagonal of the relevant Kac table. In an appropriate regime the dilute A$_3$ model lies in the universality class of the Ising model in a magnetic field. In this case we obtain the magnetic exponent $\delta=15$ directly, without the use of scaling relations.
Nienhuis Bernard
Pearce Paul A.
Seaton Katherine A.
Warnaar Ole S.
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