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We present a new method allowing us to derive the long-time and large-distance asymptotic behavior of the correlations functions of quantum integrable models from their exact representations.
H. Bethe, Zür Theorie der Metalle I. Eigenwerte und Eigenfunktionen Atomkete , Zeitschrift für Physik 71
1931
Earlier work this paper cites.
R. Orbach, Linear antiferromagnetic chain with anisotropic coupling , Phys. Rev. 112
1958
Earlier work this paper cites.
W. E. Thirring, A soluble relativistic field theory , Ann. Phys. 3
1958
Earlier work this paper cites.
E. Lieb, T. Schultz, and D. Mattis, Two soluble models of an antiferromagnetic chain , Ann. Phys. 16
1961
Earlier work this paper cites.
E. H. Lieb, Exact analysis of an interacting Bose gas II. The excitation spectrum , Phys. Rev. 130
1963
Earlier work this paper cites.
E. H. Lieb and W. Liniger, Exact analysis of an interacting Bose gas. I. The general solution and the ground state , Phys. Rev. 130
1963
Earlier work this paper cites.
A. Lenard, Momentum distribution in the ground state of the one-dimensional system of impenetrable bosons , J. Math. Phys. 5
1964
Earlier work this paper cites.
A. Lenard, One-dimensional impenetrable bosons in thermal equilibrium , J. Math. Phys. 7
1966
Earlier work this paper cites.
B. M. McCoy and T. T. Wu, Theory of Toeplitz determinants and the spin correlation functions of the two-dimensional Ising model IV , Phys. Rev. 162
1967
Earlier work this paper cites.
B. M. McCoy, Spin correlation functions of the X-Y model , Phys. Rev. 173
1968
Earlier work this paper cites.
C. N. Yang and C. P. Yang, Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction , J. Math. Phys. 10
1969
Earlier work this paper cites.
A. M. Polyakov, Conformal symmetry of critical fluctuations , JETP Lett. 12
1970
Earlier work this paper cites.
E. Barouch and B. M. McCoy, Statistical mechanics of XY-model .2. Spin-correlation functions , Phys. Rev. A 3
1971
Earlier work this paper cites.
M. Gaudin, Preprints , Centre d’études nucléaires de Saclay, CEA-N-1559, 1971
1971
Earlier work this paper cites.
B. M. McCoy and T. T. Wu, The two-dimensional lsing model , Harvard Univ. Press, Cambridge, Massachusetts, 1973
1973
Earlier work this paper cites.
A. Luther and I. Peschel, Calculation of critical exponents in two dimensions from quantum field theory in one dimension , Phys. Rev. B 12
1975
Earlier work this paper cites.
T. T. Wu, B. M. McCoy, C. A. Tracy, and E. Barouch, The spin-spin correlation function of the two-dimensional Ising model: exact results in the scaling region , Phys. Rev. B 13
1976
Earlier work this paper cites.
B. M. McCoy, C. A. Tracy, and T. T. Wu, Two-dimensional Ising model as an exactly soluble relativistic quantum field theory: explicit formulas for the n n -point functions , Phys. Rev. Lett. 38
1977
Earlier work this paper cites.
L. D. Faddeev, E. K. Sklyanin, and L. A. Takhtajan, Quantum inverse problem method I , Theor. Math. Phys. 40
1979
Earlier work this paper cites.
H. G. Vaidya and C. A. Tracy, One-particle reduced density matrix of impenetrable bosons in one dimension at zero temperature , J. Math. Phys. 20
1979
Earlier work this paper cites.
F. D. M. Haldane, General relation of correlation exponents and spectral properties of one-dimensional Fermi systems: Application to the anisotropic s=1/2 , Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
M. Jimbo, T. Miwa, Y. Mori, and M. Sato, Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent , Physica D 1
1980
Earlier work this paper cites.
M. Gaudin, B. M. Mc Coy, and T. T. Wu, Normalization sum for the Bethe’s hypothesis wave functions of the Heisenberg-Ising model , Phys. Rev. D 23
1981
Earlier work this paper cites.
F. D. M. Haldane, Demonstration of the “Luttinger liquid“ character of Bethe-ansatz soluble models of 1-d quantum fluids , Phys. Lett. A 81
1981
Earlier work this paper cites.
F. D. M. Haldane, 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 , J. Phys. C: Solid State Phys. 14
1981
Earlier work this paper cites.
B. M. McCoy, J. H. H. Perk, and T. T. Wu, Ising field theory: quadratic difference equations for the n n -point Green’s functions on the lattice , Phys. Rev. Lett. 46
1981
Earlier work this paper cites.
A. G. Izergin and V. E. Korepin, Lattice versions of quantum field theory models in two dimensions , Nucl. Phys. B 205
1982
Earlier work this paper cites.
V. E. Korepin, Calculation of norms of Bethe wave functions , Comm. Math. Phys. 86
1982
Earlier work this paper cites.
B. M. McCoy, J. H. H. Perk, and R. E. Schrock, Correlation functions of the transverse Ising chain at the critical field for large temporal and spatial separations , Nucl. Phys. B 220
1983
Cited alongside, same era.
B. M. McCoy, J. H. H. Perk, and R. E. Schrock, Time-dependent correlation functions of the transverse Ising chain at the critical magnetic field , Nucl. Phys. B 220
1983
Cited alongside, same era.
J. L. Cardy, Conformal invariance and universality in finite size scaling , J. Phys. A: Math. Gen. 17
1984
Cited alongside, same era.
I. Affleck, Critical behavior of two-dimensional systems with continuous symmetries , Phys. Rev. Lett. 55
1985
Cited alongside, same era.
H. J. de Vega and F. Woynarovich, Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and 6-vertex model , Nucl. Phys. B (1985), 439–456
1985
V. E. Korepin and N. A. Slavnov, Form factors in the finite volume , Int. J. Mod. Phys. B 13
1999
Later among the works it cites.
N. Kitanine, J. M. Maillet, and V. Terras, Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field , Nucl. Phys. B 567
2000
Later among the works it cites.
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Emptiness formation probability of the XXZ spin-1/2 Heisenberg chain at Delta=1/2 , J. Phys. A: Math. Gen. 35
2002
Later among the works it cites.
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain , J. Phys. A : Math. Gen. 35
2002
Later among the works it cites.
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field , Nucl. Phys. B 641
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Cited alongside, same era.
H. W. J. Blöte, J. L. Cardy, and M. P. Nightingale, Conformal invariance, the central charge, and universal finite-size amplitudes at criticality , Phys. Rev. Lett. 56
1986
Cited alongside, same era.
J. L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories , Nucl. Phys. B270
1986
Cited alongside, same era.
F. Woynarovich, Excitation spectrum of the spin-1/2 Heisenberg chain and conformal invariance , Phys. Rev. Lett. 59
1987
Cited alongside, same era.
C. Destri and H. J. de Vega, Integrable quantum field theories and conformal field theories from lattice models in the light-cone approach , Phys. Lett. B 201
1988
Cited alongside, same era.
N. A. Slavnov, Calculation of scalar products of wave functions and form factors in the framework of the algebraic Bethe Ansatz , Theor. Math. Phys. 79
1989
Cited alongside, same era.
F. Woynarovich, H. P. Eckle, and T. T. Truong, Non-analytic finite-size corrections in the one-dimensional Bose gas and Heisenberg chain , J. Phys. A: Math. Gen. 22
1989
Cited alongside, same era.
A. R. Its, A. G. Izergin, and V. E. Korepin, Long-distance asymptotics of temperature correlators of the impenetrable bose gas , Comm. Math. Phys. 130
1990
Cited alongside, same era.
2002
Later among the works it cites.
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, A recursion formula for the correlation functions of an inhomogeneous XXX model , hep-th/0405044, 2004
2004
Later among the works it cites.
F. Göhmann, A. Klümper, and A. Seel, Integral representations for correlation functions of the XXZ chain at finite temperature , J. Phys. A 37
2004
Later among the works it cites.
T. Oota, Quantum projectors and local operators in lattice integrable models , J. Phys. A: Math. Gen. 37
2004
Later among the works it cites.
F. Göhmann, A. Klümper, and A. Seel, Integral representation of the density matrix of the XXZ chain at finite temperatures , J. Phys. A : Math. Gen. 38
2005
Later among the works it cites.
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Dynamical correlation functions of the XXZ spin-1/2 chain , Nucl. Phys. B 729
2005
Later among the works it cites.
N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Master equation for spin-spin correlation functions of the XXZ chain , Nucl. Phys. B 712
2005
Later among the works it cites.
M. Arikawa, M. Karbach, G. Muller, and K. Wiele, Spinon excitations in the XX chain: spectra, transition rates, observability , J. Phys. A: Math. Gen. 39
2006
Later among the works it cites.
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Algebraic representation of correlation functions in integrable spin chains , Annales Henri Poincaré 7
2006
Later among the works it cites.
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Density matrix of a finite sub-chain of the Heisenberg anti-ferromagnet , Lett. Math. Phys. 75
2006
Later among the works it cites.
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Hidden Grassmann structure in the XXZ model , Comm. Math. Phys. 272
2007
Later among the works it cites.
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, On correlation functions of integrable models associated with the six-vertex R-matrix , J. Stat. Mech. Theory Exp. (2007), P01022
2007
Later among the works it cites.
K. Sakai, Dynamical correlation functions of the XXZ model at finite temperature , J. Phys. A: Math. Theor. 40
2007
Later among the works it cites.
K. K. Kozlowski, On the emptiness formation probability of the open XXZ spin 1/2 chain , J. Stat. Mech.: Theory Exp. (2008), P02006
2008
Later among the works it cites.
H. Boos, M. Jimbo, T. Miwa, and F. Smirnov, Completeness of a fermionic basis in the homogeneous XXZ model , J. Math. Phys. 50
2009
Later among the works it cites.
H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Hidden Grassmann Structure in the XXZ Model II: Creation Operators , Comm. Math. Phys. 286
2009
Later among the works it cites.
V. V. Cheianov, T. Giamarchi, and M. R. Zvonarev, Time-dependent correlation functions of the Jordan-Wigner operator as a Fredholm determinant , J. Stat. Mech. (2009), P07035
2009
Later among the works it cites.
M. Jimbo, T. Miwa, and F. Smirnov, Hidden Grassmann structure in the XXZ model III: introducing the Matsubara direction , J. Phys. A : Math. Gen. 42
2009
Later among the works it cites.
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions , J. Stat. Mech. Theory Exp. (2009), P04003
2009
Later among the works it cites.
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain , J. Math. Phys. 50
2009
Later among the works it cites.
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, Riemann-Hilbert approach to a generalized sine kernel and applications , Comm. Math. Phys. 291
2009
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K. K. Kozlowski, Fine structure of the asymptotic expansion of cyclic integrals , J. Math. Phys. 50
2009
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H. Boos, M. Jimbo, T. Miwa, and F. Smirnov, Hidden Grassmann Structure in the XXZ Model IV: CFT Limit , Comm. Math. Phys. 299
2010
Later among the works it cites.