Journal ArticleDOI
Regularized Integrable Version of the One-Dimensional Quantum Sine-Gordon Model
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In this article, a regularized exactly solvable version of the one-dimensional quantum Sine-Gordon model was derived from the exact solution of the U(1)-symmetric Thirring model, and the ground state and the excitation spectrum were obtained in the region β2 < 8 π.Abstract:
We derive a regularized exactly solvable version of the one-dimensional quantum Sine-Gordon model proceeding from the exact solution of the U(1)-symmetric Thirring model. The ground state and the excitation spectrum are obtained in the region β2 < 8 π.read more
Citations
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Exact results in the theory of magnetic alloys
A. M. Tsvelick,Paul Wiegmann +1 more
TL;DR: In this paper, a detailed account of the Bethe-Ansatz technique for the s-d exchange (Kondo) model with arbitrary impurity spin, s-D model with anisotropic exchange, degenerate exchange model and for the canonical Anderson model is given.
Journal ArticleDOI
Deriving boundary S matrices
Paul Fendley,Hubert Saleur +1 more
TL;DR: In this paper, the exact boundary S matrices for integrable quantum field theories in 1 + 1 dimensions using lattice regularization were derived explicitly for the sine-Gordon model with fixed boundary conditions using the Bethe ansatz for an XXZ-type spin chain in a boundary magnetic field.
Journal ArticleDOI
Exact solution of the O(3) nonlinear σ-model
TL;DR: In this article, the exact Bethe-ansatz solution of the O(3) σ-model is presented, which is the same as the one presented in this paper.
Journal ArticleDOI
Exact results in the two-dimensional U(1)-symmetric Thirring model
TL;DR: In this article, a systematic study of ground state, excitation spectrum, and isospin-magnetic properties of the U(1)-Thirring model, based on its exact (Bethe-ansatz) solution, is presented.
Journal ArticleDOI
Exact factorized S-matrix of the chiral field in two dimensions
TL;DR: The exact factorized S-matrix and the spectrum for the two-dimensional SU(N)-principal chiral field are presented in this paper, where the exact factorization of the Smatrix is shown as a function of the spectrum.
References
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Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
Chen Ning Yang,C.P. Yang +1 more
TL;DR: In this paper, the equilibrium thermodynamics of a one-dimensional system of bosons with repulsive delta function interaction was derived from the solution of a simple integral equation, and the excitation spectrum at any temperature T was also found.
Journal ArticleDOI
What is the spin of a spin wave
L. D. Faddeev,L.A. Takhtajan +1 more
TL;DR: In this paper, it was shown that the spin of a spin wave in the Heisenberg antiferromagnetic chain of spins 1 2 is equal to 1 2 rather than 1 as is generally considered to be true.
Journal ArticleDOI
Backward Scattering in the One-Dimensional Electron Gas
A. Luther,V. J. Emery +1 more
TL;DR: An exact solution to the one-dimensional electron gas with a particular attractive interaction strength for scattering across the Fermi "surface" is given in this paper, and scaling arguments are advanced to demonstrate that this solution applies generally for attractive backward scattering.
Journal ArticleDOI
One-Dimensional Anisotropic Heisenberg Model at Finite Temperatures
Minoru Takahashi,Masuo Suzuki +1 more
TL;DR: In this article, the thermodynamics of the one-dimensional Heisenberg-Ising model for I.JI < 1 as well as of the X-Y-Z model is reduced to a set of non-linear integral equations under some plausible assumptions.
Journal ArticleDOI
Eigenvalue spectrum of interacting massive fermions in one dimension
TL;DR: In this article, the excitation spectrum of massive fermions with self-interaction moving in one space dimension is calculated, using exact solutions for the spin-1/2 chain problem.