The Bethe Ansatz Equations
Explicit Solutions of the Bethe Ansatz Equations for Bloch Electrons in a Magnetic Field
... When the flux 4> are ratios of the successive Fibonacci numbers which converge to the golden mean, we found the branching rule for the roots, which makes the d[r] ...
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Large and small Density Approximations to the thermodynamic Bethe Ansatz
... We provide analytical solutions to the thermodynamic Bethe ansatz equations in the large and small density approximations. We extend results previously obtained for leading order behaviour of the ...
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Twist-three at five loops, Bethe ansatz and wrapping
... Asymptotic Bethe equations We will start our analysis with the contribution to the final result stemming from the asymp- totic Bethe Ansatz ...
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Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... key equations are the Bethe ansatz equations, which are the outcome of dragging one soliton, say of type A = (a, i), along the world ...of Bethe Ansatz ...
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Thermodynamic Bethe Ansatz for the AdS 5 x S^5 Mirror Model
... modynamic Bethe Ansatz equations for the AdS 5 × S 5 mirror ...these equations can be used to construct the associated Y-system recently discussed in the literature, putting particular ...
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Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
... the Bethe ansatz equations, the density of quasi-particles around a certain momentum depends in a nontrivial and nonnegligible way on the density of quasi-particles at other ...integral ...
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The scaling function at strong coupling from the quantum string Bethe equations
... by Bethe Ansatz methods exploiting the conjectured integrability of ...the Bethe equations ...The Bethe Ansatz equations contain a scalar phase, the dressing factor, which ...
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Chaos in the thermodynamic Bethe ansatz
... that these assumptions on the existence and uniqueness of the solution indeed hold, albeit for certain systems convergence problems in certain regimes have been noted [7, 8]. The main purpose of this note is to show that ...
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Bethe ansatz for quantum strings
... propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS 5 × S 5 at large string tension and restricted to certain large charge states from a closed su (2) ...The ...
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Supersymmetric vacua and Bethe ansatz
... This note is a short announcement of some results of a longer paper where the supersymmet- ric vacua of two dimensional N = 4 gauge theories with matter, softly broken by the twisted masses down to N = 2, are shown to be ...
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Thermodynamic Bethe Ansatz with Haldane Statistics
... functional equations have the further virtue that unlike the orig- inal TBA-equations they do not involve the mass spectrum and are commonly referred to as Y ...similar equations may be derived for a ...
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Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
... As the main technical tool we exploited the fact that some characters factorize in terms of quantum dilogarithms. Performing the classical limit we also conjectured an anyonic version of the thermodynamic Bethe ...
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Excited states in Bethe ansatz solvable models and the dressing of spin and charge
... the Bethe strings we obtain a clear description of excitations over the pseudo-vacuum reference state instead of the somewhat unnatural reference state which is the preferred choice of [22, 23] because it makes it ...
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Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry
... algebraic Bethe ansatz for a one dimensional open spin chain whose bound- ary quantum spaces are irreducible so 2n - or sp 2n -representations and the monodromy matrix satisfies the defining relations of ...
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Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
... algebraic Bethe ansatz for a one-dimensional open spin chain whose underlying symmetry is Olshanskii twisted Yangian Y ± (gl 2 n ), the Lie subalgebras of which are so 2 n or sp 2 n ...the Bethe ...
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The thermodynamic Bethe Ansatz approach to exactly solvable models in statistical mechanics and quantum field theory
... This is achieved through use of the NAG Fortran routine C05NBF which imple ments a modified Powell hybrid method to find the N zeroes of the system of N nonlinear BA equations (4.9). One must be careful with the ...
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Quantum relativistic Toda chain at root of unity: isospectrality, modified Q operator, and functional Bethe ansatz
... problem for the spin chain. Starting from a homogeneous quantum chain, we may create some number of solitons in parameterization of the inhomogeneities using the Bäcklund transformations. The finite-dimensional ...
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Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: Scattering, particles and minimal area Wilson loops
... We start from the fourth of the Beisert–Staudacher equations, in the presence of a large number s of real type-4 roots, together with the general pattern of excitations and isotopic root[r] ...
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Electric field response of strongly correlated one dimensional metals: a Bethe Ansatz density functional theory study
... v XC hom 共n,t,U兲 = t 冋 2 cos  k 共U兲 − 2 cos k 2 + kU 2 册 , 共8兲 where k= 1 − 兩 n − 1 兩 , = sgn 共 n − 1 兲 and  共 U 兲 is a U-dependent parameter, which can be determined by solving a transcen- dental equation. The ...
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Bethe ansatz for the Ruijsenaars model of BC1- type
... Received December 14, 2006, in final form February 06, 2007; Published online February 22, 2007 Original article is available at http://www.emis.de/journals/SIGMA/2007/028/ Abstract. We consider one-dimensional elliptic ...
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