Six-vertex model on a finite lattice: Integral representations for nonlocal correlation functions
暂无分享,去创建一个
G. Di Giulio | F. Colomo | A.G. Pronko | G. Di Giulio | G. Giulio | F. Colomo | A. Pronko
[1] O. Foda. $ \mathcal{N} = 4 $ SYM structure constants as determinants , 2011, 1111.4663.
[2] T. Miwa,et al. New exact results on density matrix for XXX spin chain , 2018, Letters in Mathematical Physics.
[3] N. Kitanine,et al. Form factors of the XXZ Heisenberg spin-1/2 finite chain , 1998, math-ph/9807020.
[4] Philippe Di Francesco,et al. Asymptotic Shapes with Free Boundaries , 2009, 0908.1630.
[5] I. Kostov,et al. The hexagon in the mirror: the three-point function in the SoV representation , 2015, 1506.09088.
[6] R. Baxter. Exactly solved models in statistical mechanics , 1982 .
[7] L. A. Takhtadzhan,et al. THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL , 1979 .
[8] A. Borodin. On a family of symmetric rational functions , 2014, 1410.0976.
[9] K. Kozlowski. Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain , 2019, Journal of Mathematical Physics.
[10] A. Borodin,et al. Higher spin six vertex model and symmetric rational functions , 2016, 1601.05770.
[11] On the correlation functions of the domain wall six-vertex model , 2004, math-ph/0409067.
[12] F. Colomo,et al. The Arctic Circle Revisited , 2007, 0704.0362.
[13] Thermodynamic limit of the six-vertex model with domain wall boundary conditions , 2000, cond-mat/0004250.
[14] $q$-Difference raising operators for Macdonald polynomials and the integrality of transition coefficients , 1996, q-alg/9605005.
[15] F. Colomo,et al. An approach for calculating correlation functions in the six-vertex model with domain wall boundary conditions , 2011, 1111.4353.
[16] C. Tracy,et al. Integral Formulas for the Asymmetric Simple Exclusion Process , 2007, 0704.2633.
[17] I. Kostov. Three-point function of semiclassical states at weak coupling , 2012, 1205.4412.
[18] H. E. Boos,et al. Quantum Correlations and Number Theory , 2002 .
[19] A. Sportiello,et al. Arctic Curves of the Six-Vertex Model on Generic Domains: The Tangent Method , 2016, Journal of Statistical Physics.
[20] F. Colomo,et al. On two-point boundary correlations in the six-vertex model with domain wall boundary conditions , 2005, math-ph/0503049.
[21] P. Zinn-Justin,et al. Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures , 2014, 1405.7035.
[22] Ilse Fischer,et al. More refined enumerations of alternating sign matrices , 2009, 0903.5073.
[23] N. Reshetikhin,et al. Correlation functions in a one-dimensional Bose gas , 1987 .
[24] N. Slavnov,et al. Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions , 2008, 0808.0227.
[25] F. Colomo,et al. Emptiness formation probability in the domain-wall six-vertex model , 2007, 0712.1524.
[26] N. Reshetikhin,et al. Integrability of Limit Shapes of the Inhomogeneous Six Vertex Model , 2020, Communications in Mathematical Physics.
[27] P. Zinn-Justin,et al. The arctic curve of the domain wall six-vertex model in its antiferroelectric regime , 2009, 0907.1264.
[28] Six-vertex model with domain wall boundary conditions and one-matrix model , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[29] V. Korepin,et al. The quantum inverse scattering method approach to correlation functions , 1984 .
[30] Algebraic Representation of Correlation Functions in Integrable Spin Chains , 2006, hep-th/0601132.
[31] Leonid Petrov,et al. Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions , 2020, J. Comb. Theory A.
[32] R. Keesman,et al. Numerical study of the F model with domain-wall boundaries. , 2017, Physical review. E.
[33] Boundary polarization in the six-vertex model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[34] F. Colomo,et al. The role of orthogonal polynomials in the six-vertex model and its combinatorial applications ∗ , 2006, math-ph/0602033.
[35] Jacopo Viti,et al. Analytic solution of the domain-wall nonequilibrium stationary state , 2017, 1707.06218.
[36] R. Baxter. Generalized Ferroelectric Model on a Square Lattice , 1971 .
[37] Michael Wheeler,et al. Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices , 2016, J. Comb. Theory, Ser. A.
[38] L. Cantini,et al. Integral Formulas and Antisymmetrization Relations for the Six-Vertex Model , 2019, Annales Henri Poincaré.
[39] Spin spin correlation functions of the XXZ - 1/2 Heisenberg chain in a magnetic field , 2002, hep-th/0201045.
[40] Filippo Colomo,et al. The Limit Shape of Large Alternating Sign Matrices , 2008, SIAM J. Discret. Math..
[41] S. Warnaar. Bisymmetric functions, Macdonald polynomials and $\mathfrak {sl}_3$ basic hypergeometric series , 2005, Compositio Mathematica.
[42] D. A. Coker,et al. Determinant formula for the six-vertex model , 1992 .
[43] Ilse Fischer. The number of monotone triangles with prescribed bottom row , 2006, Adv. Appl. Math..
[44] K. Motegi. Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice , 2016, 1608.02269.
[45] A. G. Izergin,et al. Partition function of the six-vertex model in a finite volume , 1987 .
[46] N. Reshetikhin,et al. Integrability of Limit Shapes of the Six Vertex Model , 2015, 1510.01053.
[47] Vladimir E. Korepin,et al. Calculation of norms of Bethe wave functions , 1982 .
[48] N. Reshetikhin,et al. The 6-vertex model with fixed boundary conditions , 2007, 1010.5011.
[49] N. Reshetikhin,et al. The two-point correlation function in the six-vertex model , 2020, Journal of Physics A: Mathematical and Theoretical.
[50] R. Baxter. Perimeter Bethe ansatz , 1987 .
[51] A. Sportiello,et al. Generalized emptiness formation probability in the six-vertex model , 2016, 1605.01700.
[52] R. Baxter. Spontaneous staggered polarization of the F model , 1973 .
[53] Rene F. Swarttouw,et al. Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.
[54] K. Motegi. Boundary correlation functions of the six and nineteen vertex models with domain wall boundary conditions , 2010, 1101.0187.
[55] Jean-Marie St'ephan. Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain , 2017, 1707.06625.
[56] N. Allegra,et al. Inhomogeneous field theory inside the arctic circle , 2015, 1512.02872.
[57] Boundary correlation functions of the six-vertex model , 2002, math-ph/0203025.
[58] Jacopo Viti,et al. Phase separation in the six-vertex model with a variety of boundary conditions , 2017, 1711.07905.