Reduced qKZ equation and correlation functions of the XXZ model

Communications in Mathematical Physics

Volumn 261, Issue 1, 2006, Pages 245-276

  Boos, H ^a,f   Jimbo, M ^b   Miwa, T ^c   Smirnov, F ^d,g   Takeyama, Y ^e  

^a UNIVERSITY OF WUPPERTAL   (Germany)

^b UNIVERSITY OF TOKYO   (Japan)

^c KYOTO UNIVERSITY   (Japan)

^d LPTHE   (France)

^e UNIVERSITY OF TSUKUBA   (Japan)

^f INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

^g CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29344438639     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-005-1430-6     Document Type: Article

References (15)

1. Boos, H., Jimbo, M., Miwa, T., Smirnov, F., Takeyama, Y.: A recursion formula for the correlation functions of an inhomogeneous XXX model. Algebra and Analysis 17, 115-159 (2005)
2. Boos, H., Korepin, V.: Quantum spin chains and Riemann zeta functions with odd arguments. J. Phys. A 34, 5311-5316 (2001)
3. Boos, H., Korepin, V., Smirnov, F.: Emptiness formation probability and quantum Knizhnik-Zamlodchikov equation. Nucl. Phys. B 658/3, 417-439 (2003)
4. Boos, H., Korepin, V., Smirnov, F.: New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level -4. J. Phys. A 37, 323-336 (2004)
5. Boos, H., Korepin, V., Smirnov, F.: New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level -4 and correlation functions. Moscow Math. J. 4, 593-617 (2004)
6. Boos, H., Korepin, V., Smirnov, F.: Connecting lattice and relativistic models via conformal field theory. Progress in Mathematics 237, 157-173 (2005)
7. Boos, H., Shiroishi, M., Takahashi, M.: "First principle approach to correlation functions of spin-1/2 Heisenberg chain: fourth-neighbor correlators". Nucl. Phys. B712, 573-599 (2005)
8. Jimbo, M., Miwa, T.: Quantum Knizhnik-Zamolodchikov equation at |q| = 1 and correlation functions of the XXZ model in the gapless regime. J. Phys. A 29, 2923-2958 (1996)
9. Jimbo, M., Miwa, T.: Algebraic analysis of solvable lattice models. CBMS Reg. Conf. Ser. in Math. 85, Providence, RI. Amer. Math. Soc, 1994
10. Idzumi, M., Iohara, K., Jimbo, M., Miwa, T., Nakashima, T., Tokihiro, T.: Quantum affine symmetry in vertex models. Int. J. Mod. Phys. A 8, 1479-1511 (1993)
11. Jimbo, M., Miwa, T., Miki, K., Nakayashiki, A.: Correlation functions of the XXZ model for Δ < -1. Phys. Lett. A 168, 256-263 (1992)
12. Kato, G., Shiroishi, M., Takahashi, M., Sakai, K.: Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain. J. Phys. A: Math. Gen. 36, L337 (2003)
13. Kato, G., Shiroishi, M., Takahashi, M., Sakai, K.: Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Critical Region. J. Phys. A: Math. Gen. 37, 5097 (2004)
14. Kitanine, N., Maillet, J.-M., Terras, V.: Correlation functions of the XXZ Heisenberg spin-1/2-chain in a magnetic field. Nucl. Phys. B 567, 554-582 (2000)
15. Takahashi, M., Kato, G., Shiroishi, M.: Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Massive Region. J. Phys. Soc. Jpn. 73, 245 (2004)