Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-07-12
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''.
Bazhanov Vladimir V.
Lukyanov Sergei L.
Zamolodchikov Al. B.
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