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Integrable Quantum Field Theories in Finite Volume: Excited State Energies

5 Pith papers cite this work, alongside 220 external citations. Polarity classification is still indexing.

5 Pith papers citing it
220 external citations · Pith
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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representative citing papers

Fusion of Integrable Defects and the Defect $g$-Function

hep-th · 2026-05-20 · unverdicted · novelty 5.0

Derives additivity and fusion rules for defect g-functions in integrable 2D QFT, with effective amplitudes for non-topological cases and lowered entropy contribution in Ising non-topological fusion.

A note on the 2D NLSM free energy

hep-th · 2026-06-04 · unverdicted · novelty 4.0

Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.

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