I. Affleck, Critical Behavior of Two-Dimensional Systems with Continuous Symmetries, Physical Review Letters, vol.55, issue.13, pp.1355-1358, 1985.
DOI : 10.1103/PhysRevLett.55.1355

I. Affleck, Exact correlation amplitude for the Heisenberg antiferromagnetic chain, Journal of Physics A: Mathematical and General, vol.31, issue.20
DOI : 10.1088/0305-4470/31/20/002

I. A. Aizenberg and A. P. Yuzhakov, Integral representations and residues in multidimensional complex analysis, volume 58 of Translations of Mathematical Monographs, Translated from the Russian by H. H. Mc- Faden, 1983.

E. Barouch and B. M. Mccoy, Model. II. Spin-Correlation Functions, Physical Review A, vol.3, issue.2, pp.786-804, 1971.
DOI : 10.1103/PhysRevA.3.786

V. Barzykin and I. Affleck, Finite-size scaling for the spin-1

R. J. Baxter, Exactly Solved Models in Statistical Mechanics, 1982.
DOI : 10.1142/9789814415255_0002

H. Bethe, Zur Theorie der Metalle, Zeitschrift f???r Physik, vol.71, issue.3-4, pp.205-226, 1931.
DOI : 10.1007/BF01341708

H. W. Blöte, J. L. Cardy, and M. P. Nightingale, Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, Physical Review Letters, vol.56, issue.7, pp.742-745, 1986.
DOI : 10.1103/PhysRevLett.56.742

N. M. Bogoliubov, A. G. Izergin, and V. Korepin, Critical exponents for integrable models, Nuclear Physics B, vol.275, issue.4, pp.687-705, 1986.
DOI : 10.1016/0550-3213(86)90579-1

N. M. Bogoliubov, A. G. Izergin, and N. Y. Reshetikhin, Finite-size effects and infrared asymptotics of the correlation functions in two dimensions, Journal of Physics A: Mathematical and General, vol.20, issue.15, pp.5361-5369, 1987.
DOI : 10.1088/0305-4470/20/15/047

M. Bóna, Combinatorics of permutations. Discrete Mathematics and its Applications (Boca Raton), 2004.

H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Algebraic Representation of Correlation Functions in Integrable Spin Chains, Annales Henri Poincar??, vol.7, issue.7-8, pp.1395-1428, 2006.
DOI : 10.1007/s00023-006-0285-5
URL : https://hal.archives-ouvertes.fr/hal-00101476

H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Density Matrix of a Finite Sub-chain of the Heisenberg Anti-ferromagnet, Letters in Mathematical Physics, vol.658, issue.3, pp.201-208, 2006.
DOI : 10.1007/s11005-006-0054-x
URL : https://hal.archives-ouvertes.fr/hal-00101477

H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Reduced qKZ Equation and Correlation Functions of the XXZ Model, Communications in Mathematical Physics, vol.261, issue.1, pp.245-276, 2006.
DOI : 10.1007/s00220-005-1430-6
URL : https://hal.archives-ouvertes.fr/hal-00101479

H. Boos, M. Jimbo, T. Miwa, F. Smirnov, and Y. Takeyama, Fermionic basis for space of operators in the XXZ model. hep-th, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00169335

M. Bortz, J. Sato, and M. Shiroishi, chain, Journal of Physics A: Mathematical and Theoretical, vol.40, issue.16, pp.404253-4271, 2007.
DOI : 10.1088/1751-8113/40/16/001

J. L. Cardy, Conformal invariance and universality in finite-size scaling, Journal of Physics A: Mathematical and General, vol.17, issue.7, pp.385-387, 1984.
DOI : 10.1088/0305-4470/17/7/003

J. L. Cardy, Operator content of two-dimensional conformally invariant theories, Nuclear Physics B, vol.270, issue.2, pp.186-204, 1986.
DOI : 10.1016/0550-3213(86)90552-3

J. S. Caux, R. Hagemans, and J. M. Maillet, Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime, Journal of Statistical Mechanics: Theory and Experiment, vol.2005, issue.09, p.9003, 2005.
DOI : 10.1088/1742-5468/2005/09/P09003
URL : https://hal.archives-ouvertes.fr/ensl-00266543

J. S. Caux and J. M. Maillet, Computation of Dynamical Correlation Functions of Heisenberg Chains in a Magnetic Field, Physical Review Letters, vol.95, issue.7, p.77201, 2005.
DOI : 10.1103/PhysRevLett.95.077201

F. Colomo, A. Izergin, and V. Tognetti, Correlation functions in the XXO Heisenberg chain and their relations with spectral shapes, Journal of Physics A: Mathematical and General, vol.30, issue.2, pp.361-370, 1997.
DOI : 10.1088/0305-4470/30/2/004

F. Colomo, A. G. Izergin, V. E. Korepin, and V. Tognetti, Correlators in the Heisenberg XX0 chain as Fredholm determinants, Phys. Lett. A, vol.169, pp.237-247, 1992.

F. Colomo, A. G. Izergin, V. E. Korepin, and V. Tognetti, Temperature correlation functions in the XX0 Heisenberg chain. I, Theoretical and Mathematical Physics, vol.31, issue.1, pp.19-38, 1993.
DOI : 10.1007/BF01016992

C. Destri, H. J. De, and . Vega, Integrable quantum field theories and conformal field theories from lattice models in the light-cone approach, Physics Letters B, vol.201, issue.2, pp.261-268, 1988.
DOI : 10.1016/0370-2693(88)90225-0

C. Destri, H. J. De, and . Vega, Unified approach to Thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories, Nuclear Physics B, vol.438, issue.3, pp.413-454, 1995.
DOI : 10.1016/0550-3213(94)00547-R

H. J. De-vega and F. Woynarovich, Method for calculating finite size corrections in Bethe ansatz systems: Heisenberg chain and six-vertex model, Nuclear Physics B, vol.251, issue.3, pp.439-456, 1985.
DOI : 10.1016/0550-3213(85)90271-8

V. J. Emery, A. Luther, and I. Peschel, Solution of the one-dimensional electron gas on a lattice, Physical Review B, vol.13, issue.3, pp.1272-1276, 1976.
DOI : 10.1103/PhysRevB.13.1272

L. D. Faddeev, E. K. Sklyanin, and L. A. Takhtajan, Quantum inverse problem method I, Theor. Math. Phys, vol.40, pp.688-706, 1979.

M. Gaudin, La fonction d'onde de Bethe, 1983.

M. Gaudin, B. M. Mc, T. T. Coy, and . Wu, Normalization sum for the Bethe's hypothesis wave functions of the Heisenberg-Ising chain, Physical Review D, vol.23, issue.2, pp.417-419, 1981.
DOI : 10.1103/PhysRevD.23.417

F. Göhmann, A. Klümper, and A. Seel, chain at finite temperature, Journal of Physics A: Mathematical and General, vol.37, issue.31, pp.7625-7651, 2004.
DOI : 10.1088/0305-4470/37/31/001

F. Göhmann, F. Klümper, and A. Seel, Integral representation of the density matrix of the XXZ chain at finite temperatures, Journal of Physics A: Mathematical and General, vol.38, issue.9, pp.1833-1841, 2005.
DOI : 10.1088/0305-4470/38/9/001

F. D. Haldane, Heisenberg Chain, Physical Review Letters, vol.45, issue.16, pp.1358-1362, 1980.
DOI : 10.1103/PhysRevLett.45.1358

F. D. Haldane, Demonstration of the ???Luttinger liquid??? character of Bethe-ansatz-soluble models of 1-D quantum fluids, Physics Letters A, vol.81, issue.2-3, pp.153-155, 1981.
DOI : 10.1016/0375-9601(81)90049-9

F. D. 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, Journal of Physics C: Solid State Physics, vol.14, issue.19, pp.2585-2609, 1981.
DOI : 10.1088/0022-3719/14/19/010

W. Heisenberg, Zür Theorie der Ferromagnetismus, pp.619-636, 1928.

A. G. Izergin, Partition function of the six-vertex model in a finite volume, Sov. Phys. Dokl, vol.32, pp.878-879, 1987.

A. G. Izergin and V. E. Korepin, The quantum inverse scattering method approach to correlation functions, Communications in Mathematical Physics, vol.34, issue.1, pp.67-92, 1984.
DOI : 10.1007/BF01212350

A. G. Izergin and V. E. Korepin, Correlation functions for the Heisenberg XXZ-antiferromagnet, Communications in Mathematical Physics, vol.60, issue.2, pp.271-302, 1985.
DOI : 10.1007/BF01212283

A. G. Izergin, V. E. Korepin, and N. Y. Reshetikhin, Conformal dimensions in Bethe ansatz solvable models, Journal of Physics A: Mathematical and General, vol.22, issue.13, pp.2615-2620, 1989.
DOI : 10.1088/0305-4470/22/13/052

M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki, Correlation functions of the XXZ model for ?? < ??? 1, Physics Letters A, vol.168, issue.4, pp.256-263, 1992.
DOI : 10.1016/0375-9601(92)91128-E

M. Jimbo and T. Miwa, Algebraic analysis of solvable lattice models, 1995.
DOI : 10.1090/cbms/085

M. Jimbo and T. Miwa, model in the gapless regime, Journal of Physics A: Mathematical and General, vol.29, issue.12, pp.2923-2958, 1996.
DOI : 10.1088/0305-4470/29/12/005

M. Jimbo, T. Miwa, Y. Mori, and M. Sato, Density matrix of an impenetrable Bose gas and the fifth Painlev?? transcendent, Physica D: Nonlinear Phenomena, vol.1, issue.1, pp.80-158, 1980.
DOI : 10.1016/0167-2789(80)90006-8

N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, -matrix, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.01, p.1022, 2007.
DOI : 10.1088/1742-5468/2007/01/P01022
URL : https://hal.archives-ouvertes.fr/ensl-00308844

N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, and V. Terras, Riemann? Hilbert approach to a generalized sine-kernel and applications, 2008.
URL : https://hal.archives-ouvertes.fr/ensl-00283404

N. Kitanine, J. M. Maillet, N. Slavnov, and V. Terras, Spin???spin correlation functions of the XXZ- Heisenberg chain in a magnetic field, Nuclear Physics B, vol.641, issue.3, pp.487-518, 2002.
DOI : 10.1016/S0550-3213(02)00583-7

N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Dynamical correlation functions of the spin- chain, Nuclear Physics B, vol.729, issue.3, pp.558-580, 2005.
DOI : 10.1016/j.nuclphysb.2005.08.046
URL : https://hal.archives-ouvertes.fr/ensl-00266560

N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, Master equation for spin???spin correlation functions of the chain, Nuclear Physics B, vol.712, issue.3, pp.600-622, 2005.
DOI : 10.1016/j.nuclphysb.2005.01.050
URL : https://hal.archives-ouvertes.fr/ensl-00266563

N. Kitanine, J. M. Maillet, N. A. Slavnov, and V. Terras, On the algebraic Bethe ansatz approach to the correlation functions of the XXZ spin-1/2 Heisenberg chain, Solvable Lattice Models 2004?Recent Progress on Solvable Lattice Models, p.505006, 2006.
URL : https://hal.archives-ouvertes.fr/in2p3-00025726

N. Kitanine, J. M. Maillet, and V. Terras, Form factors of the XXZ Heisenberg spin-1/2 finite chain, Nucl. Phys. B, pp.554647-678, 1999.

N. Kitanine, J. M. Maillet, and V. Terras, Spin???spin correlation functions of the XXZ- Heisenberg chain in a magnetic field, Nuclear Physics B, vol.641, issue.3, pp.567554-582, 2000.
DOI : 10.1016/S0550-3213(02)00583-7

A. Klümper and M. Batchelor, An analytic treatment of finite-size corrections in the spin-1 antiferromagnetic XXZ chain, Journal of Physics A: Mathematical and General, vol.23, issue.5, pp.189-195, 1990.
DOI : 10.1088/0305-4470/23/5/002

A. Klümper, M. Batchelor, and P. Pearce, Central charges of the 6- and 19-vertex models with twisted boundary conditions, Journal of Physics A: Mathematical and General, vol.24, issue.13, pp.3111-3133, 1991.
DOI : 10.1088/0305-4470/24/13/025

A. Klümper, T. Wehner, and J. Zittartz, Conformal spectrum of the six-vertex model, Journal of Physics A: Mathematical and General, vol.26, issue.12, pp.2815-2827, 1993.
DOI : 10.1088/0305-4470/26/12/021

V. E. Korepin, Calculation of norms of Bethe wave functions, Communications in Mathematical Physics, vol.289, issue.1, pp.391-418, 1982.
DOI : 10.1007/BF01212176

V. E. Korepin, Dual field formulation of quantum integrable models, Communications in Mathematical Physics, vol.257, issue.2, pp.177-190, 1987.
DOI : 10.1007/BF01223510

V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum inverse scattering method and correlation functions, 1993.

E. Lieb, T. Schultz, and D. Mattis, Two soluble models of an antiferromagnetic chain, Annals of Physics, vol.16, issue.3, pp.407-466, 1961.
DOI : 10.1016/0003-4916(61)90115-4

E. H. Lieb, Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum, Physical Review, vol.130, issue.4, pp.1616-1624, 1963.
DOI : 10.1103/PhysRev.130.1616

E. H. Lieb and W. Liniger, Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State, Physical Review, vol.130, issue.4, pp.1605-1616, 1963.
DOI : 10.1103/PhysRev.130.1605

E. H. Lieb and D. C. Mattis, Mathematical Physics in One Dimension, 1966.

S. Lukyanov, Low energy effective Hamiltonian for the XXZ spin chain, Nuclear Physics B, vol.522, issue.3, pp.533-549, 1998.
DOI : 10.1016/S0550-3213(98)00249-1

S. Lukyanov, spin chain in the disordered regime, Physical Review B, vol.59, issue.17, pp.11163-11164, 1999.
DOI : 10.1103/PhysRevB.59.11163

S. Lukyanov and V. Terras, Long-distance asymptotics of spin???spin correlation functions for the XXZ spin chain, Nuclear Physics B, vol.654, issue.3, pp.323-356, 2003.
DOI : 10.1016/S0550-3213(02)01141-0
URL : https://hal.archives-ouvertes.fr/hal-00366445

A. Luther and I. Peschel, Calculation of critical exponents in two dimensions from quantum field theory in one dimension, Physical Review B, vol.12, issue.9, pp.3908-3917, 1975.
DOI : 10.1103/PhysRevB.12.3908

J. M. Maillet and V. Terras, On the quantum inverse scattering problem, Nuclear Physics B, vol.575, issue.3, p.627, 2000.
DOI : 10.1016/S0550-3213(00)00097-3

B. M. Mccoy, Model, Physical Review, vol.173, issue.2, p.531, 1968.
DOI : 10.1103/PhysRev.173.531

B. M. Mccoy, E. Barouch, and D. B. Abraham, Model. IV. Time-Dependent Spin-Correlation Functions, Physical Review A, vol.4, issue.6, pp.2331-2341, 1971.
DOI : 10.1103/PhysRevA.4.2331

B. M. Mccoy, J. H. Perk, and T. T. Wu, -Point Green's Functions on the Lattice, Physical Review Letters, vol.46, issue.12, p.757, 1981.
DOI : 10.1103/PhysRevLett.46.757
URL : https://hal.archives-ouvertes.fr/hal-00965558

B. M. Mccoy, C. A. Tracy, and T. T. Wu, -Point Functions, Physical Review Letters, vol.38, issue.15, pp.793-796, 1977.
DOI : 10.1103/PhysRevLett.38.793
URL : https://hal.archives-ouvertes.fr/hal-00965558

B. M. Mccoy and T. T. Wu, Theory of Toeplitz Determinants and the Spin Correlations of the Two-Dimensional Ising Model. IV, Physical Review, vol.162, issue.2, p.436, 1967.
DOI : 10.1103/PhysRev.162.436

B. M. Mccoy and T. T. Wu, The Two-Dimensional lsing Model, 1973.

R. Orbach, Linear Antiferromagnetic Chain with Anisotropic Coupling, Physical Review, vol.112, issue.2, pp.309-316, 1958.
DOI : 10.1103/PhysRev.112.309

M. Sato, T. Miwa, and M. Jimbo, Holonomic quantum fields. III, Publications of the Research Institute for Mathematical Sciences, vol.15, issue.2, pp.577-629, 1979.
DOI : 10.2977/prims/1195188185

M. Sato, T. Miwa, and M. Jimbo, Holonomic quantum fields. V, Publications of the Research Institute for Mathematical Sciences, vol.16, issue.2, pp.531-584, 1980.
DOI : 10.2977/prims/1195187216

N. A. Slavnov, Calculation of scalar products of wave functions and form factors in the framework of the alcebraic Bethe ansatz, Theoretical and Mathematical Physics, vol.164, issue.2, pp.502-508, 1989.
DOI : 10.1007/BF01016531

L. A. Takhtajan and L. D. Faddeev, The quantum inverse problem method and the XYZ Heisenberg model, Physica D: Nonlinear Phenomena, vol.3, issue.1-2, pp.11-68, 1979.
DOI : 10.1016/0167-2789(81)90129-9

L. R. Walker, Antiferromagnetic Linear Chain, Physical Review, vol.116, issue.5, pp.1089-1090, 1959.
DOI : 10.1103/PhysRev.116.1089

E. Whittaker and G. Watson, A Course of Modern Analysis, 1927.

F. Woynarovich, Excitation spectrum of the spin-(1/2 Heisenberg chain and conformal invariance, Physical Review Letters, vol.59, issue.3, pp.259-261, 1987.
DOI : 10.1103/PhysRevLett.59.259

F. Woynarovich and H. P. Eckle, Finite-size corrections and numerical calculations for long spin 1/2 Heisenberg chains in the critical region, Journal of Physics A: Mathematical and General, vol.20, issue.2, pp.97-104, 1987.
DOI : 10.1088/0305-4470/20/2/010

F. Woynarovich, H. P. Eckle, and T. T. Truong, Non-analytic finite-size corrections in the one-dimensional Bose gas and Heisenberg chain, Journal of Physics A: Mathematical and General, vol.22, issue.18, pp.4027-4043, 1989.
DOI : 10.1088/0305-4470/22/18/035

T. T. Wu, B. M. Mccoy, C. A. Tracy, and E. Barouch, Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region, Physical Review B, vol.13, issue.1, pp.316-374, 1976.
DOI : 10.1103/PhysRevB.13.316

C. Yang and C. Yang, One-Dimensional Chain of Anisotropic Spin-Spin Interactions. I. Proof of Bethe's Hypothesis for Ground State in a Finite System, Physical Review, vol.150, issue.1, pp.321-327, 1966.
DOI : 10.1103/PhysRev.150.321

C. N. Yang and C. P. Yang, One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System, Physical Review, vol.150, issue.1, pp.327-339, 1966.
DOI : 10.1103/PhysRev.150.327