Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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2002-05-23

Nucl.Phys.B647:404-432,2002

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 32 pages, 6 figures

Scientific paper

10.1016/S0550-3213(02)00843-X

We examine some excited state energies in the non-unitary integrable quantum field theory obtained from the perturbation of the minimal conformal field theory model $M_{3,5}$ by its operator $\phi_{2,1}$. Using the correspondence of this IQFT to the scaling limit of the dilute $A_2$ lattice model (in a particular regime) we derive the functional equations for the QFT commuting transfer matrices. These functional equations can be transformed to a closed set of TBA-like integral equations which determine the excited state energies in the finite-size system. In particular, we explicitly construct these equations for the ground state and two lowest excited states. Numerical results for the associated energy gaps are compared with those obtained by the truncated conformal space approach (TCSA).

**Bazhanov Vladimir V.**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

**Ellem R. M.**

Physics – High Energy Physics – High Energy Physics - Theory

Scientist

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