Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2011, Issue 3, 2011, Pages

  Kozlowski, K K ^a   Maillet, J M ^b   Slavnov, N A ^c  

^a DESY   (Germany)

^b UNIVERSITÉ DE LYON   (France)

^c STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

correlation functions; quantum gases; quantum integrability (Bethe ansatz); thermodynamic Bethe ansatz

Indexed keywords

EID: 79953681372     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2011/03/P03018     Document Type: Article

References (49)

1. Kitanine N, Kozlowski K K, Maillet J M, Slavnov N A and Terras V 2009 J. Stat. Mech. P04003
2. Kitanine N, Maillet J M and Terras V 2000 Nucl. Phys. B 567 554
3. Kitanine N, Maillet J M, Slavnov N and Terras V 2002 Nucl. Phys. B 641 487
4. Kitanine N, Maillet J M, Slavnov N A and Terras V 2005 Nucl. Phys. B 712 600
5. Kitanine N, Maillet J M, Slavnov N A and Terras V 2006 Solvable Lattice Models 2004-Recent Progress on Solvable Lattice Models (Kokyuroku vol 1480) (Kyoto: RIMS)
6. Kitanine N, Kozlowski K K, Maillet J M, Slavnov N A and Terras V 2007 J. Stat. Mech. P01022
7. Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
8. Lieb E and Mattis D (ed) 1966 Mathematical Physics in One Dimension (New York: Academic)
9. Girardeau M 1960 J. Math. Phys. 1 516
10. Sklyanin E K, Takhtajan L A and Faddeev L D 1979 Theor. Math. Phys. 40 688
11. Faddeev L D 1998 Les Houches Lectures (Quantum Symmetries) ed A Connes et al (Amsterdam: North-Holland) p149
12. Korepin V E, Bogoliubov N M and Izergin A G 1993 Quantum Inverse Scattering Method and Correlation Functions (Cambridge: Cambridge University Press)
13. Yang C N and Yang C P 1969 J. Math. Phys. 10 1115
14. Dorlas T C, Lewis J T and Pulé J V 1989 Commun. Math. Phys. 124 365
15. Lenard A 1966 J. Math. Phys. 7 1268
16. Korepin V E 1987 Commun. Math. Phys. 113 177
17. Korepin V E and Slavnov N A 1990 Commun. Math. Phys. 129 103
18. Its A R, Izergin A G and Korepin V E 1990 Commun. Math. Phys. 129 205
19. Its A R, Izergin A G and Korepin V E 1990 Commun. Math. Phys. 130 471
20. Its A R, Izergin A G, Korepin V E and Varguzin G G 1991 Physica D 54 351
21. Bogoliubov N M and Korepin V E 1984 Theor. Math. Phys. 60 808
22. Korepin V E 1989 Funct. Anal. Appl. 23 12
23. Korepin V E and Slavnov N A 1991 Commun. Math. Phys. 136 633
24. Kojima T, Korepin V E and Slavnov N A 1997 Commun. Math. Phys. 188 657
25. Its A R and Slavnov N A 1999 Theor. Math. Phys. 119 541
26. Slavnov N A 1999 Theor. Math. Phys. 121 117
27. Popov V N 1983 Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel: Dordrecht)
28. Haldane F D M 1981 Phys. Rev. Lett. 47 1840
29. Belavin A A, Polyakov A M and Zamolodchikov A B 1984 Nucl. Phys. B 241 333
30. Cardy J L 1984 J. Phys. A: Math. Gen. 17 L385
31. Cardy J L 1986 Nucl. Phys. B 270 186
32. Cardy J L 1996 Scaling and renormalization in statistical physics Cambridge Lecture Notes in Physics 5 (Cambridge: Cambridge University Press)
33. Cazalilla M A 2004 J. Phys. B: At. Mol. Opt. Phys. 37 S1
34. Seel A, Bhattacharyya T, Göhmann F and Klümper A 2007 J. Stat. Mech. P08030
35. Klümper A 2004 Quantum Magnetism (Lecture Notes in Physics vol 645) (Berlin: Springer) p349
36. Takahashi M, Shiroishi M and Klümper A 2001 J. Phys. A: Math. Gen. 34 L187
37. Bogoliubov N M, Izergin A G and Korepin V E 1985 Exactly Solvable Problems in Condensed Matter and Relativistic Field Theory (Lecture Notes in Physics vol 242) (Berlin: Springer) p220
38. Klümper A, Batchelor M and Pearce P 1991 J. Phys. A: Math. Gen. 24 3111
39. Klümper A 1993 Z. Phys. B 91 507
40. Klümper A, Wehner T and Zittartz J 1993 J. Phys. A: Math. Gen. 26 2815
41. Bogoliubov N M and Korepin V E 1985 Theor. Math. Phys. 64 708
42. Bogoliubov N M and Korepin V E 1985 Nucl. Phys. B 257 766
43. Korepin V E and Slavnov N A 1986 Theor. Math. Phys. 68 955
44. Dorey P and Tateo R 1996 Nucl. Phys. B 482 639
45. Kitanine N, Kozlowski K K, Maillet J M, Slavnov N A and Terras V 2009 Commun. Math. Phys. 291 691
46. Slavnov N A 2010 Theor. Math. Phys. 165 1262
47. Whittaker E T and Watson G N 1927 A Course of Modern Analysis (Cambridge: Cambridge University Press)
48. Aizenberg I A and Yuzhakov A P 1978 Integral Representations and Residues in Multidimensional Complex Analysis (AMS Graduate Texts in Mathematics 58) (Providence, RI: American Mathematical Society)
49. Kozlowski K K, Maillet J M and Slavnov N A 2011 Correlation functions for one-dimensional bosons at low temperature J. Stat. Mech. P03019