Integrable Quantum Field Theories in Finite Volume: Excited State Energies

Details Integrable Quantum Field Theories in Finite Volume: Excited State Energies Integrable Quantum Field Theories in Finite Volume: Excited State Energies

1996-07-12

arxiv.org/abs/hep-th/9607099v1

Nucl.Phys.B489:487-531,1997

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, harvmac, epsf, TeX file and postscript figures packed in a single selfextracting uufile. Compiles only in the `Big'

Scientific paper

10.1016/S0550-3213(97)00022-9

We develop a method of computing the excited state energies in Integrable Quantum Field Theories (IQFT) in finite geometry, with spatial coordinate compactified on a circle of circumference R. The IQFT ``commuting transfer-matrices'' introduced by us (BLZ) for Conformal Field Theories (CFT) are generalized to non-conformal IQFT obtained by perturbing CFT with the operator $\Phi_{1,3}$. We study the models in which the fusion relations for these ``transfer-matrices'' truncate and provide closed integral equations which generalize the equations of Thermodynamic Bethe Ansatz to excited states. The explicit calculations are done for the first excited state in the ``Scaling Lee-Yang Model''.

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