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Boundary energy and boundary states in integrable quantum field theories

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arxiv hep-th/9503227 v1 pith:NMKGHK5Z submitted 1995-03-31 hep-th

A. LeClair , G. Mussardo , H. Saleur , S. Skorik This is my paper · ORCID
classification hep-th
keywords boundarystatesenergyfieldscalarcasedoneintegrable
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study the ground state energy of integrable $1+1$ quantum field theories with boundaries (the genuine Casimir effect). In the scalar case, this is done by introducing a new, ``R-channel TBA'', where the boundary is represented by a boundary state, and the thermodynamics involves evaluating scalar products of boundary states with all the states of the theory. In the non-scalar, sine-Gordon case, this is done by generalizing the method of Destri and De Vega. The two approaches are compared. Miscellaneous other results are obtained, in particular formulas for the overall normalization and scalar products of boundary states, exact partition functions for the critical Ising model in a boundary magnetic field, and also results for the energy, excited states and boundary S-matrix of $O(n)$ and minimal models.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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    The exact g-function of sine-Gordon theory with non-diagonal scattering is computed for the first time using lattice regularization and Bethe ansatz.

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    hep-th 2025-01 reject novelty 6.0 of 10

    The paper constructs deformed boundary minimal form factors for T anti-T perturbed theories and rewrites the sinh-Gordon Dirichlet minimal form factor in the same block form, but the central solution formula has a sign error.

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

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    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.

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