Results 1  10
of
259
Bethe Ansatz for Quantum Strings
, 2004
"... We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S 5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed allloop gauge theory asymptotic Bethe ansatz by add ..."
Abstract

Cited by 281 (16 self)
 Add to MetaCart
We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5×S 5 at large string tension and restricted to certain large charge states from a closed su(2) subsector. The ansatz differs from the recently proposed allloop gauge theory asymptotic Bethe ansatz
The factorized Smatrix of CFT/AdS
, 2004
"... We argue that the recently discovered integrability in the largeN CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory’s dilatati ..."
Abstract

Cited by 240 (7 self)
 Add to MetaCart
dilatation operator nor the string sigma model’s quantum Hamiltonian, but instead the respective factorized Smatrix. To illustrate the idea, we focus on the closed fermionic su(11) sector of the N = 4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use
AN ANSATZ FOR THE ASYMPTOTICS OF HYPERGEOMETRIC MULTISUMS
"... Abstract. Sequences that are defined by multisums of hypergeometric terms with compact support occur frequently in enumeration problems of combinatorics, algebraic geometry and perturbative quantum field theory. The standard recipe to study the asymptotic expansion of such sequences is to find a rec ..."
Abstract
 Add to MetaCart
Abstract. Sequences that are defined by multisums of hypergeometric terms with compact support occur frequently in enumeration problems of combinatorics, algebraic geometry and perturbative quantum field theory. The standard recipe to study the asymptotic expansion of such sequences is to find a
From Smatrices to the Thermodynamic Bethe Ansatz
, 2004
"... We derive the TBA system of equations from the Smatrix describing integrable massive perturbation of the coset Gl × Gm/Gl+m by the field (1, 1, adj) for all the infinite series of simple Lie algebras G = An, Bn, Cn, Dn. In the cases An, Cn, where the full Smatrices are known, the derivation is exa ..."
Abstract
 Add to MetaCart
We derive the TBA system of equations from the Smatrix describing integrable massive perturbation of the coset Gl × Gm/Gl+m by the field (1, 1, adj) for all the infinite series of simple Lie algebras G = An, Bn, Cn, Dn. In the cases An, Cn, where the full Smatrices are known, the derivation
Discrete Thermodynamic Bethe Ansatz
, 2001
"... We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the CalogeroMoser model and determine the discrete 2body TBA function which yields the exact Nbody CalogeroMoser thermodynamics. We apply this algorithm to the LiebLiniger model in a harmonic ..."
Abstract
 Add to MetaCart
well, a model which is relevant for the microscopic description of harmonically trapped BoseEinstein condensates in one dimension. We find that the discrete TBA reproduces correctly the Nbody groundstate energy of the LiebLiniger model in a harmonic well at first order in perturbation theory
Reflection Amplitudes of ADE Toda Theories and Thermodynamic Bethe Ansatz
"... We study the ultraviolet asymptotics in affine Toda theories. These models are considered as perturbed nonaffine Toda theories. We calculate the reflection amplitudes, which relate different exponential fields with the same quantum numbers. Using these amplitudes we derive the quantization conditio ..."
Abstract

Cited by 7 (1 self)
 Add to MetaCart
condition for the vacuum wave function, describing zeromode dynamics, and calculate the UV asymptotics of the effective central charge. These asymptotics are in a good agreement with thermodynamic Bethe ansatz results. 1 Introduction There is a large class of 2D quantum field theories (QFTs) which can
Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
, 2009
"... We describe a method to derive, from first principles, the longdistance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spinspin correlation function of the XXZ Heisenberg spin1/2 chain (wi ..."
Abstract

Cited by 49 (16 self)
 Add to MetaCart
We describe a method to derive, from first principles, the longdistance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz. We apply this approach to the longitudinal spinspin correlation function of the XXZ Heisenberg spin1/2 chain
Reflection Amplitudes of Boundary Toda Theories and Thermodynamic Bethe Ansatz
, 2001
"... We study the ultraviolet asymptotics in An affine Toda theories with integrable boundary actions. The reflection amplitudes of nonaffine Toda theories in the presence of conformal boundary actions have been obtained from the quantum mechanical reflections of the wave functional in the Weyl chamber ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
and used for the quantization conditions and groundstate energies. We compare these results with the thermodynamic Bethe ansatz derived from both the bulk and (conjectured) boundary scattering amplitudes. The two independent approaches match very well and provide the nonperturbative checks
Solutions to the quantized KnizhnikZamolodchikov equation and the BetheAnsatz
 PREPRINT HU–TFT–94–21, UTMS 94–46
, 1994
"... We give an integral representation for solutions to the quantized KnizhnikZamolodchikov equation (qKZ) associated with the Lie algebra gl N+1. Asymptotic solutions to qKZ are constructed. The leading term of an asymptotic solution is the Bethe vector – an eigenvector of the transfermatrix of a qua ..."
Abstract

Cited by 23 (5 self)
 Add to MetaCart
We give an integral representation for solutions to the quantized KnizhnikZamolodchikov equation (qKZ) associated with the Lie algebra gl N+1. Asymptotic solutions to qKZ are constructed. The leading term of an asymptotic solution is the Bethe vector – an eigenvector of the transfermatrix of a
Toy models for wrapping effects
, 806
"... The anomalous dimensions of local single trace gauge invariant operators in N = 4 supersymmetric YangMills theory can be computed by diagonalizing a long range integrable Hamiltonian by means of a perturbative asymptotic Bethe ansatz. This formalism breaks down when the number of fields of the comp ..."
Abstract
 Add to MetaCart
The anomalous dimensions of local single trace gauge invariant operators in N = 4 supersymmetric YangMills theory can be computed by diagonalizing a long range integrable Hamiltonian by means of a perturbative asymptotic Bethe ansatz. This formalism breaks down when the number of fields
Results 1  10
of
259