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Research Report MRR96-031
Integrable quantum field theories in finite volume: excited state energies
Vladimir V. Bazhanov, Sergei L. Lukyanov and Alexander B. Zamolodchikov
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 in\ \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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