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Non-integrable quantum field theories as perturbations of certain integrable models
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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 ∼ T c and the scaling region around the minimal model M 2,7 . For these models, a remarkable agreement is observed between the theoretical predictions and the data extracted by a numerical diagonalisation of their Hamiltonian.
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Cites
Operator content of two-dimensional conformally invariant theories
Cardy, J. L. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90552-3 · Cited by 1,955
Cited by
Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry
Coldea, R., Tennant, D. A., Wheeler, E. M., Wawrzynska, E., Prabhakaran, D., Telling, M., Habicht, K., Smeibidl, P., & Kiefer, K. (2010) · Science · doi:10.1126/science.1180085 · Cited by 731
On space of integrable quantum field theories
Smirnov, F. A., & Zamolodchikov, A. B. (2017) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2016.12.014 · Cited by 642
Metadata
- Authors
- Delfino, G., Mussardo, G., & Simonetti, P.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1996-08
- Volume
- 473
- Issue
- 3
- Pages
- 469-508
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2122734969
- Cited by
- 231
- References
- 1
- FWCI
- 5.27
- Type
- journal article
- Language
- en
- Open access
- green
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- Delfino, G., Mussardo, G., & Simonetti, P. (1996). Non-integrable quantum field theories as perturbations of certain integrable models. Nuclear Physics B. https://doi.org/10.1016/0550-3213(96)00265-9
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