Bethe ansatz S-matrix
The thermodynamic Bethe Ansatz approach to exactly solvable models in statistical mechanics and quantum field theory
... analytic Bethe Ansatz (ABA) approach [73] and use the fusion proce dure [74], which essentially provides a set of functional relations for the transfer matrices along with some associated symmetries and ...
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Thermodynamic Bethe ansatz of the homogeneous sine-Gordon models
... HSG theories can be viewed as interacting copies of complex sine-Gordon theo- ries. The classical equations of motion of these models correspond to non-abelian affine Toda equations [5, 10], which are known to be ...
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Nested Algebraic Bethe Ansatz for Open Spin Chains with Even Twisted Yangian Symmetry
... are matrix analogous of the conventional creation, annihilation and diagonal operators of the six-vertex ...these matrix operators turn out to be reminiscent of those of the six-vertex ...using ...
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The all-loop integrable spin-chain for strings on AdS3 × S 3 × T 4: The massive sector
... certainly true for the gauge fixed string Hamiltonian, such a limit (which amounts to sending α → 1) is quite subtle at the level of the symmetry algebra, of its representations, and therefore of the invariant ...
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Thermodynamic Bethe Ansatz with Haldane Statistics
... scattering matrix leads to a set of consistency equations, which have to be satisfied by any S- matrix related to integrable models in 1+1 ...the S-matrices of a particular model up to what is ...
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Twist-three at five loops, Bethe ansatz and wrapping
... Their anomalous dimensions can be obtained from a non-compact, length-three sl(2) spin chain with M excitations underlying a factorized two-body scattering [3]. However, the interaction range between scattering particles ...
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Nested algebraic Bethe ansatz for open spin chains with even twisted Yangian symmetry
... are matrix analogous of the conventional creation, annihilation and number operators of the six-vertex ...these matrix operators turn out to be reminiscent of those of the six-vertex ...using matrix ...
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Quantum relativistic Toda chain at root of unity: isospectrality, modified Q operator, and functional Bethe ansatz
... We will use the language of the quantum inverse scattering method. Besides the formulation of the model in the terms of L-operators and transfer matrices, it im- plies the quantum intertwining relation, allowing to ...
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Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT
... density matrix describing these non-equilibrium steady states and using Al.B. Zamolodchikov’s method of the thermodynamic Bethe ansatz (TBA). The scaled cumulant generating function is obtained from ...
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Large and small Density Approximations to the thermodynamic Bethe Ansatz
... reflected in the quantum theory by a strong-weak self-duality in the coupling constant. Moreover, the mass spectrum renormalises by an overall factor and the poles of the S-matrix in the physical sheet do ...
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Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz
... scattering matrix the different statistics may be implemented more easily than for the asymptotic creation and annihilation ...view S-matrices which possess a non- trivial asymptotic phase should be ...
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Integrability of Bukhvostov-Lipatov model and ODE/IQFT correspondence
... that Bethe ansatz equations can be represented as a finite set of functional relations combined with some assumptions about ana- lytical properties of involved ...with Bethe roots corresponding to ...
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Exceptional Operators in N=4 super Yang Mills
... The proposed TBA equations are based on the assumption that the rapidities of exceptional states are given exactly by (4.1). These rapidities are obviously very different from the rapidities of the states in the twisted ...
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Form factors of integrable Heisenberg (higher) spin chains
... the Bethe ansatz approach and the solution of the quantum inverse scattering problem for higher spins to obtain determinant formulae for the form factors of spin operators of general integrable Heisenberg ...
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Quantum description of dark solitions in one dimensional quantum gases : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Physics at Massey University, Albany, New Zealand
... finite Bethe ansatz equations for the Lieb-Liniger and Yang- Gaudin models ...limit Bethe ansatz equations for all states of interest in both models are derived, and the missing particle number ...
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Uniform light cone gauge for strings in AdS(5) x s**5: Solving SU(1|1) sector
... On the other hand, it is known that string theory admits consistent truncations to smaller sectors which contain in particular string states dual to operators from the corresponding closed sectors of gauge theory. In ...
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Exploring the mirror TBA
... We provided an evidence that for any excited string state and, therefore, for any N = 4 SYM operator there could be infinitely many critical values of ’t Hooft’s coupling constant at which the TBA equations have to be ...
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Two dimensional gauge theories and quantum integrable systems
... The appearance of a particular form of Bethe Ansatz equations (3.26) strongly sug- gests the relevance of quantum integrable theories in the description of wave-functions in topological Yang-Mills-Higgs ...
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On the spectra of reduced distance matrix of the generalized Bethe trees
... Recall that a tree is a connected acyclic graph. In a tree, any vertex can be chosen as the root vertex. The level of a vertex on a tree is one more than its distance from the root vertex. Suppose T is an unweighted ...
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Temperature quantization from the TBA equations
... Thermodynamic Bethe Ansatz (TBA) approach origi- nally developed for relativistic models ...× S 5 superstring sigma model, for a review see [2], requires ...
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