Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 4, 2006, Pages

  Boos, Herman E ^a,b   Göhmann, Frank ^a   Klümper, Andreas ^a   Suzuki, Junji ^a,c  

^a UNIVERSITY OF WUPPERTAL   (Germany)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

^c SHIZUOKA UNIVERSITY   (Japan)

Author keywords

Correlation functions; Integrable spin chains (vertex models); Thermodynamic Bethe ansatz

Indexed keywords

EID: 42749103019     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2006/04/P04001     Document Type: Article

References (25)

1. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y, Density matrix of a finite sub-chain of the Heisenberg anti-ferromagnet, 2005 Lett. Math. Phys. at press [hep-th/0506171]
2. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y, A recursion formula for the correlation functions of an inhomogeneous XXX model, 2005 Algebra Anal. 17 115
3. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y, Reduced qKZ equation and correlation functions of the XXZ model, 2006 Commun. Math. Phys. 261 245
4. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y, Algebraic representation of correlation functions in integrable spin chains, 2006 Ann. Henri Poincare [hep-th/0601132] at press (volume dedicated to ArnaudonD)
5. Boos H E and Korepin V E, Quantum spin chains and Riemann zeta function with odd arguments, 2001 J. Phys. A: Math. Gen. 34 5311
6. Boos H E and Korepin V E, Evaluation of integrals representing correlations in the XXX Heisenberg spin chain, 2002 Math Phys Odyssey 2001 - Integrable Models and Beyond - In Honor of Barry M McCoy (Progress in Mathematical Physics vol 23) ed M Kashiwara and T Miwa (Boston, MA: Birkhäuser) pp 65-108
7. Boos H E, Korepin V E, Nishiyama Y and Shiroishi M, Quantum correlations and number theory, 2002 J. Phys. A: Math. Gen. 35 4443
8. Boos H E, Korepin V E and Smirnov F A, Emptiness formation probability and quantum Knizhnik-Zamolodchikov equation, 2003 Nucl. Phys. B 658 417
9. Boos H E, Korepin V E and Smirnov F A, New formulae for solutions of quantum Knizhnik-Zamolodchikov equation on level -4, 2004 J. Phys. A: Math. Gen. 37 323
10. Boos H E, Shiroishi M and Takahashi M, First principle approach to correlation functions of spin-1/2 Heisenberg chain: fourth-neighbor correlators, 2005 Nucl. Phys. B 712 573
11. Faddeev L D and Takhtajan L A, 1981 Zap. Nauchn. Sem. LOMI 109 134
12. Faddeev L D and Takhtajan L A, Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model, 1984 J. Sov. Math. 24 241 (translation)
13. Göhmann F, Hasenclever N P and Seel A, The finite temperature density matrix and two-point correlations in the antiferromagnetic XXZ chain, 2005 J. Stat. Mech. P10015
14. Göhmann F, Klümper A and Seel A, Emptiness formation probability at finite temperature for the isotropic Heisenberg chain, 2005 Physica B 359-361 807
15. Göhmann F, Klümper A and Seel A, Integral representation of the density matrix of the XXZ chain at finite temperature, 2005 J. Phys. A: Math. Gen. 38 1833
16. Göhmann F and Seel A, XX and Ising limits in integral formulae for finite temperature correlation functions of the XXZ chain, 2006 Theor. Math. Phys. 146 119
17. Jimbo M, Miki K, Miwa T and Nakayashiki A, Correlation functions of the XXZ model for Δ < -1, 1992 Phys. Lett. A 168 256
18. Jimbo M and Miwa T, Quantum KZ equation with |q| = 1 and correlation functions of the XXZ model in the gapless regime, 1996 J. Phys. A: Math. Gen. 29 2923
19. Kitanine N, Maillet J M and Terras V, Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field, 2000 Nucl. Phys. B 567 554
20. Kulish P P and Reshetikhin N Yu, Generalized Heisenberg ferromagnet and the Gross-Neveu model, 1981 Zh. Eksp. Tear. Fiz. 80 214
21. Sakai K, Shiroishi M, Nishiyama Y and Takahashi M, Third-neighbor correlators of a one-dimensional spin-1/2 Heisenberg antiferromagnet, 2003 Phys. Rev. E 67 065101
22. Sato J and Shiroishi M, Fifth-neighbour spin-spin correlator for the anti-ferromagnetic Heisenberg chain, 2005 J. Phys. A: Math. Gen. 38 L405
23. Sato J, Shiroishi M and Takahashi M, Correlation functions of the spin-1/2 anti-ferromagnetic Heisenberg chain: exact calculation via the generating function, 2005 Nucl. Phys. B 729 441
24. Takahashi M, Half-filled Hubbard model at low temperature, 1977 J. Phys. C: Solid State Phys. 10 1289
25. Tsuboi Z and Shiroishi M, High temperature expansion of the emptiness formation probability for the isotropic Heisenberg chain, 2005 J. Phys. A: Math. Gen. 38 L363