On the uniqueness of a purely elastic S-matrix in (1+1) dimensions

Karowski, M.; Thun, H.J.; Truong, T.T.; Weisz, Peter

doi:10.1016/0370-2693(77)90382-3

Cited by 150 publications

(91 citation statements)

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“…The S-matrix bootstrap using the Yang-Baxter relations was proposed by Karowski, Thun, Truong and Weisz [4]. It was shown in this article that the 'minimal' general solution to these equations is…”

Section: Maximal Analyticitymentioning

confidence: 99%

Towards the Construction of Wightman Functions of Integrable Quantum Field Theories

Babujian

Karowski

2004

Int. J. Mod. Phys. A

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110

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The purpose of the "bootstrap program" for integrable quantum field theories in 1+1 dimensions is to construct a model in terms of its Wightman functions explicitly. In this article, this program is mainly illustrated in terms of the sineGordon and the sinh-Gordon model and (as an exercise) the scaling Ising model. We review some previous results on sine-Gordon breather form factors and quantum operator equations. The problem to sum over intermediate states is attacked in the short distance limit of the two point Wightman function for the sinh-Gordon and the scaling Ising model.

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Section: Maximal Analyticitymentioning

confidence: 99%

Towards the Construction of Wightman Functions of Integrable Quantum Field Theories

Babujian

Karowski

2004

Int. J. Mod. Phys. A

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110

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“…The most known examples of quantum integrable models are the sine-Gordon model for which physical quantities such as spectrum and exact scattering matrices have been determined [7], and the Heisenberg model solved originally by Bethe [8]. For the Heisenberg model as well, quantities of physical interest, such as spectrum, scattering matrices, and correlation functions have been explicitly derived [2,9,10].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and conformal properties of XXZ chains with alternating spins

Bytsko

Doikou

2004

J. Phys. A: Math. Gen.

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The quantum periodic XXZ chain with alternating spins is studied. The properties of the related R-matrix and Hamiltonians are discussed. A compact expression for the ground state energy is obtained. The corresponding conformal anomaly is found via the finite-size computations and also by means of the Bethe ansatz method. In the presence of an external magnetic field, the magnetic susceptibility is derived. The results are also generalized to the case of a chain containing l different spins.

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“…(в) Имеются полюсы, определенные одночастичными состояниями в каждом под-канале, задаваемом подмножеством частиц состояния (4)…”

Section: формфакторыunclassified

“…Один из авторов настоящей работы совместно с другими исследователями сфор-мулировал в [4] "on-shell" программу, т.е. точное определение матрицы рассеяния с использованием уравнений Янга-Бакстера.…”

Section: Introductionunclassified