Results 1  10
of
1,222
On solutions of Bethe equations for the XXZ model
, 2003
"... Recently certain identities for solutions of the Bethe equations in the sixvertex model were obtained in [FM]. In the note we give an elementary proof of similar identities for the case of the inhomogeneous arbitrary spin XXX or XXZ model. Though the corresponding calculations can be done in the el ..."
Abstract
 Add to MetaCart
Recently certain identities for solutions of the Bethe equations in the sixvertex model were obtained in [FM]. In the note we give an elementary proof of similar identities for the case of the inhomogeneous arbitrary spin XXX or XXZ model. Though the corresponding calculations can be done
On quantum corrections to spinning strings and Bethe equations, Phys
 Lett. B 629
"... Recently, it was demonstrated that oneloop energy shifts of spinning superstrings on AdS5 ×S 5 agree with certain Bethe equations for quantum strings at small effective coupling. However, the string result required artificial regularization by zetafunction. Here we show that this matching is indee ..."
Abstract

Cited by 88 (3 self)
 Add to MetaCart
Recently, it was demonstrated that oneloop energy shifts of spinning superstrings on AdS5 ×S 5 agree with certain Bethe equations for quantum strings at small effective coupling. However, the string result required artificial regularization by zetafunction. Here we show that this matching
Bethe equations for a g2 model
 J. Phys. A: Math. Gen
"... We prove, using the coordinate Bethe ansatz, the exact solvability of a model of three particles whose pointlike interactions are determined by the root system of g2. The statistics of the wavefunction are left unspecified. Using the properties of the Weyl group, we are also able to find Bethe equa ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
We prove, using the coordinate Bethe ansatz, the exact solvability of a model of three particles whose pointlike interactions are determined by the root system of g2. The statistics of the wavefunction are left unspecified. Using the properties of the Weyl group, we are also able to find Bethe
Bethe equations ’on the wrong side of the equator
 J. Phys. A: Math. Gen
, 1999
"... We analyse the famous Baxter’s T −Q equations for XXX (XXZ) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of BetheAnsatz equations, there exists also the second solution which should corresponds to BetheAnsatz beyond N/2. This second ..."
Abstract

Cited by 18 (2 self)
 Add to MetaCart
We analyse the famous Baxter’s T −Q equations for XXX (XXZ) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of BetheAnsatz equations, there exists also the second solution which should corresponds to BetheAnsatz beyond N/2
Virasoro characters from Bethe equations for the critical ferromagnetic threestate Potts
, 1994
"... We obtain new fermionic sum representations for the Virasoro characters of the confromal field theory describing the ferromagnetic threestate Potts spin chain. These arise from the fermionic quasiparticle excitations derived from the Bethe equations for the eigenvalues of the hamiltonian. In the c ..."
Abstract

Cited by 10 (1 self)
 Add to MetaCart
We obtain new fermionic sum representations for the Virasoro characters of the confromal field theory describing the ferromagnetic threestate Potts spin chain. These arise from the fermionic quasiparticle excitations derived from the Bethe equations for the eigenvalues of the hamiltonian
On string solutions of Bethe equations in N =4 supersymmetric Yang–Mills theory
, 712
"... The Bethe equations, arising in description of the spectrum of the dilatation operator for the su(2) sector of the N =4 supersymmetric Yang–Mills theory, are considered in the anti–ferromagnetic regime. These equations are deformation of those for the Heisenberg XXX magnet. It is proven that in the ..."
Abstract
 Add to MetaCart
The Bethe equations, arising in description of the spectrum of the dilatation operator for the su(2) sector of the N =4 supersymmetric Yang–Mills theory, are considered in the anti–ferromagnetic regime. These equations are deformation of those for the Heisenberg XXX magnet. It is proven
BETHE EQUATION AT q = 0, MÖBIUS INVERSION FORMULA, AND WEIGHT MULTIPLICITIES:
, 2001
"... Abstract. We study a family of power series characterized by a system of recursion relations (Qsystem) with a certain convergence property. We show that the coefficients of the series are expressed by the numbers which formally count the offdiagonal solutions of the Uq(X (1) n) Bethe equation at q ..."
Abstract
 Add to MetaCart
Abstract. We study a family of power series characterized by a system of recursion relations (Qsystem) with a certain convergence property. We show that the coefficients of the series are expressed by the numbers which formally count the offdiagonal solutions of the Uq(X (1) n) Bethe equation
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
pop header will be provided by the publisher Quantum Strings and Bethe Equations
, 2004
"... I briefly review the recently proposed construction of the Bethe ansatz which diagonalizes the Hamiltonian for quantum strings on AdS5 × S 5 at large tension and restricted to the large charge states from a closed su(2) subsector. 1 ..."
Abstract
 Add to MetaCart
I briefly review the recently proposed construction of the Bethe ansatz which diagonalizes the Hamiltonian for quantum strings on AdS5 × S 5 at large tension and restricted to the large charge states from a closed su(2) subsector. 1
Results 1  10
of
1,222