1996/07/12 by V. V. Bazhanov, S. L. Lukyanov, A. B. Zamolodchikov · 1 citation
Physics and Astronomy · Mathematics · #hep-th #cond-mat #math.QA #nlin.SI #q-alg #solv-int
paper · pdf · doi:10.1016/s0550-3213(97)00022-9
published as Nucl.Phys.B489:487-531,1997 · 54 pages, harvmac, epsf, TeX file and postscript figures packed in a single selfextracting uufile. Compiles only in the `Big' mode with harvmac
arxiv created 1996/07/12 · arxiv updated 2011/02/11
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 Φ1,3. 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''.