Fetching the paper…
Reading the bibliography…
We describe a method to derive, from first principles, the long-distance asymptotic behavior of correlation functions of integrable models in the framework of the algebraic Bethe ansatz.
A Course of Modern Analysis
E. Whittaker and G. Watson · 1927
Earlier work this paper cites.
Zür Theorie der Ferromagnetismus
W. Heisenberg · 1928
Earlier work this paper cites.
Zür Theorie der Metalle I. Eigenwerte und Eigenfunktionen Atomkete
H. Bethe · 1931
Earlier work this paper cites.
Linear antiferromagnetic chain with anisotropic coupling
R. Orbach · 1958
Earlier work this paper cites.
Antiferromagnetic linear chain
L. R. Walker · 1959
Earlier work this paper cites.
Two soluble models of an antiferromagnetic chain
E. Lieb, T. Schultz, and D. Mattis · 1961
Earlier work this paper cites.
Exact analysis of an interacting Bose gas. ii. The excitation spectrum
E. H. Lieb · 1963
Earlier work this paper cites.
Exact analysis of an interacting Bose gas. I. The general solution and the ground state
E. H. Lieb and W. Liniger · 1963
Earlier work this paper cites.
Mathematical Physics in One Dimension
E. H. Lieb and D. C. Mattis · 1966
Earlier work this paper cites.
One-dimensional chain of anisotropic spin-spin interactions. I. Proof of Bethe’s hypothesis for ground state in finite system
C. Yang and C. Yang · 1966
Earlier work this paper cites.
One-dimensional chain of anisotropic spin-spin interactions. II. Properties of the ground state energy per lattice site for an infinite system
C. N. Yang and C. P. Yang · 1966
Earlier work this paper cites.
Theory of Toeplitz determinants and the spin correlation functions of the two-dimensional Ising model IV
B. M. McCoy and T. T. Wu · 1967
Earlier work this paper cites.
Spin correlation functions of the XY model
B. M. McCoy · 1968
Earlier work this paper cites.
Statistical mechanics of the X Y XY model. II. Spin-correlation functions
E. Barouch and B. M. McCoy · 1971
Earlier work this paper cites.
Statistical mechanics of the XY model. time-dependent spin correlation functions
B. M. McCoy, E. Barouch, and D. B. Abraham · 1971
Earlier work this paper cites.
The Two-Dimensional lsing Model
B. M. McCoy and T. T. Wu · 1973
Earlier work this paper cites.
Calculation of critical exponents in two dimensions from quantum field theory in one dimension
A. Luther and I. Peschel · 1975
Earlier work this paper cites.
Solution of the one-dimensional electron gas on a lattice
V. J. Emery, A. Luther, and I. Peschel · 1976
Earlier work this paper cites.
Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region
T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barouch · 1976
Earlier work this paper cites.
Two-dimensional Ising model as an exactly soluble relativistic quantum field theory: explicit formulas for the n n -point functions
B. M. McCoy, C. A. Tracy, and T. T. Wu · 1977
Earlier work this paper cites.
Quantum inverse problem method I
L. D. Faddeev, E. K. Sklyanin, and L. A. Takhtajan · 1979
Earlier work this paper cites.
Holonomic quantum fields. III,IV
M. Sato, T. Miwa, and M. Jimbo · 1979
Earlier work this paper cites.
The quantum method of the inverse problem and the Heisenberg XYZ model
L. A. Takhtajan and L. D. Faddeev · 1979
Earlier work this paper cites.
General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the anisotropic s=1/2 Heisenberg chain
F. D. M. Haldane · 1980
Earlier work this paper cites.
Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
M. Jimbo, T. Miwa, Y. Mori, and M. Sato · 1980
Earlier work this paper cites.
Holonomic quantum fields. V
M. Sato, T. Miwa, and M. Jimbo · 1980
Earlier work this paper cites.
Normalization sum for the Bethe’s hypothesis wave functions of the Heisenberg-Ising model
M. Gaudin, B. M. Mc Coy, and T. T. Wu · 1981
Earlier work this paper cites.
Demonstration of the “Luttinger liquid“ character of Bethe-ansatz soluble models of 1-d quantum fluids
F. D. M. Haldane · 1981
Earlier work this paper cites.
Luttinger liquid theory of one-dimensional quantum fluids: I. Properties of the Luttinger model and their extension to the general 1d interacting spinless Fermi gas
F. D. M. Haldane · 1981
Earlier work this paper cites.
Ising field theory: quadratic difference equations for the n n -point Green’s functions on the lattice
B. M. McCoy, J. H. H. Perk, and T. T. Wu · 1981
Cited alongside, same era.
Exactly solved models in statistical mechanics
R. J. Baxter · 1982
Cited alongside, same era.
Calculation of norms of Bethe wave functions
V. E. Korepin · 1982
Cited alongside, same era.
Integral representations and residues in multidimensional complex analysis
I. A. Aizenberg and A. P. Yuzhakov · 1983
Cited alongside, same era.
La fonction d’onde de Bethe
M. Gaudin · 1983
Cited alongside, same era.
Conformal invariance and universality in finite size scaling
J. L. Cardy · 1984
Cited alongside, same era.
Unified approach to Thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories
C. Destri and H. J. de Vega · 1995
Later among the works it cites.
Algebraic analysis of solvable lattice models
M. Jimbo and T. Miwa · 1995
Later among the works it cites.
Quantum KZ equation with | q | = 1 |q|=1 and correlation functions of the XXZ model in the gapless regime
M. Jimbo and T. Miwa · 1996
Later among the works it cites.
Correlation functions in the XX0 Heisenberg chain and their relations with spectral shapes
F. Colomo, A. Izergin, and V. Tognetti · 1997
Later among the works it cites.
Exact correlation amplitude for the S = 1 2 S={\frac{1}{2}} Heisenberg antiferromagnetic chain
I. Affleck · 1998
Later among the works it cites.
Low energy effective Hamiltonian for the XXZ spin chain
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The quantum inverse scattering method approach to correlation functions
A. G. Izergin and V. E. Korepin · 1984
Cited alongside, same era.
Critical behavior of two-dimensional systems with continuous symmetries
I. Affleck · 1985
Cited alongside, same era.
Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and 6-vertex model
H. J. de Vega and F. Woynarovich · 1985
Cited alongside, same era.
Correlation functions for the Heisenberg XXZ antiferromagnet
A. G. Izergin and V. E. Korepin · 1985
Cited alongside, same era.
Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
H. W. J. Blöte, J. L. Cardy, and M. P. Nightingale · 1986
Cited alongside, same era.
Critical exponents for integrable models
N. M. Bogoliubov, A. G. Izergin, and V. Korepin · 1986
Cited alongside, same era.
S. Lukyanov · 1998
Later among the works it cites.
Finite-size scaling for the spin- 1 2 \frac{1}{2} Heisenberg antiferromagnetic chain
V. Barzykin and I. Affleck · 1999
Later among the works it cites.
Form factors of the XXZ Heisenberg spin-1/2 finite chain
N. Kitanine, J. M. Maillet, and V. Terras · 1999
Later among the works it cites.
Correlation amplitude for the XXZ spin chain in the disordered regime
S. Lukyanov · 1999
Later among the works it cites.
Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
N. Kitanine, J. M. Maillet, and V. Terras · 2000
Later among the works it cites.
On the quantum inverse scattering problem
J. M. Maillet and V. Terras · 2000
Later among the works it cites.
Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
N. Kitanine, J. M. Maillet, N. Slavnov, and V. Terras · 2002
Later among the works it cites.
Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
S. Lukyanov and V. Terras · 2003
Later among the works it cites.
Combinatorics of permutations
M. Bóna · 2004
Later among the works it cites.
Integral representations for correlation functions of the XXZ chain at finite temperature
F. Göhmann, A. Klümper, and A. Seel · 2004
Later among the works it cites.
Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
J. S. Caux, R. Hagemans, and J. M. Maillet · 2005
Later among the works it cites.
Computation of dynamical correlation functions of Heisenberg chains in a field
J. S. Caux and J. M. Maillet · 2005
Later among the works it cites.
Integral representation of the density matrix of the XXZ chain at finite temperatures
F. Göhmann, F. Klümper, and A. Seel · 2005
Later among the works it cites.
Dynamical correlation functions of the XXZ spin- 1 / 2 1/2 chain
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras · 2005
Later among the works it cites.
Master equation for spin-spin correlation functions of the XXZ chain
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras · 2005
Later among the works it cites.
Algebraic representation of correlation functions in integrable spin chains
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama · 2006
Later among the works it cites.
Density matrix of a finite sub-chain of the Heisenberg anti-ferromagnet
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama · 2006
Later among the works it cites.
Reduced qKZ equation and correlation functions of the XXZ model
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama · 2006
Later among the works it cites.
On the algebraic Bethe ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras · 2006
Later among the works it cites.
Fermionic basis for space of operators in the XXZ model
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama · 2007
Later among the works it cites.
String correlation functions of the spin-1/2 Heisenberg XXZ chain
M. Bortz, J. Sato, and M. Shiroishi · 2007
Later among the works it cites.
On correlation functions of integrable models associated with the six-vertex R R -matrix
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras · 2007
Later among the works it cites.
Riemann–Hilbert approach to a generalized sine-kernel and applications
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras · 2008
Closest in time.
To appear, 2009
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras · 2009
Closest in time.