Non-integrable quantum field theories as perturbations of certain integrable models
Abstract
We approach the study of non-integrable models of two-dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact S-matrix and form factors of the integrable field theories we obtain the first-order corrections to the mass ratios, the vacuum energy density and the S-matrix of the non-integrable theories. As interesting applications of the formalism, we study the scaling region of the Ising model in an external magnetic field at T ∼ Tc and the scaling region around the minimal model M2,7. For these models, a remarkable agreement is observed between the theoretical predictions and the data extracted by a numerical diagonalisation of their Hamiltonian.
- Publication:
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Nuclear Physics B
- Pub Date:
- February 1996
- DOI:
- 10.1016/0550-3213(96)00265-9
- arXiv:
- arXiv:hep-th/9603011
- Bibcode:
- 1996NuPhB.473..469D
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter
- E-Print:
- 60 pages, latex, 9 figures