A next-to-leading Luescher formula

Abstract

We propose a next-to-leading Luescher-like formula for the finite-size corrections of the excited states energies in integrable theories. We conjecture the expressions of the corrections for both the energy and the particles' rapidities by interpreting the excited states as momenta-dependent defects. We check the resulting formulas in some simple relativistic model and conjecture those for the AdS5/CFT4 case.

19 pages, 2 figures;v2: minor corrections, clarifications and a reference added

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• Quantum corrections to the string Bethe ansatz
• On String S-matrix, Bound States and TBA
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Cited by in corpus (13)

• Quantum spectral curve as a tool for a perturbative quantum field theory
• Structure constants at wrapping order
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Three-point functions in $\mathcal{N}=4$ SYM: the hexagon proposal at three loops
• String field theory vertex from integrability
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Strong coupling results from the numerical solution of the quantum spectral curve
• Leading exponential finite size corrections for non-diagonal form factors
• Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors
• 12 loops and triple wrapping in ABJM theory from integrability
• Finite volume form factors in integrable theories