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Integrable Quantum Field Theories in Finite Volume: Excited State Energies

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arxiv hep-th/9607099 v1 pith:B4ZVTJUG submitted 1996-07-12 hep-th cond-matmath.QAnlin.SIq-algsolv-int

V.V.Bazhanov , S.L.Lukyanov , A.B.Zamolodchikov This is my paper
classification hep-thcond-matmath.QAnlin.SIq-algsolv-int
keywords excitedfieldiqftstatetheoriesenergiesequationsfinite
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 220 citations worldwide. Full citation record

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