Aspects of confinement in low dimensions

From Fields to Strings: Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection

Volumn 1, Issue , 2005, Pages 661-683

  Bhaseen, M J ^a   Tsvelik, A M ^a  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ISING MODEL; QUANTUM THEORY;

ELEMENTARY EXCITATIONS; FORM FACTORS; HUBBARD; QUASI-ONE-DIMENSIONAL SYSTEMS; WIGNER CRYSTALS;

CONDENSED MATTER PHYSICS;

EID: 85014667983     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812775344_0019     Document Type: Chapter

References (44)

1. B. M. McCoy and T. T. Wu, Phys. Rev. D 18, 1259 (1978).
2. I. Affleck, Soliton Confinement and the Excitation Spectrum of Spin-Peierls Antiferromagnets, in Dynamical Properties of Unconventional Magnetic Systems, NATO ASI Series E, Vol. 349 (Kluwer Academic Publishers, 1998), cond-mat/9705127.
3. F. D. M. Haldane, Phys. Rev. B 25, 4925 (1982).
4. A. M. Tsvelik, Quantum Field Theory in Condensed Matter Physics, 2nd ed. (Cambridge University Press, 2003).
5. I. A. Zaliznyak, H. Woo, T. G. Perring, C. L. Broholm, C. D. Frost and H. Takagi, Spinons in the Strongly Correlated Copper Oxide Chains in SrCu02, cond-mat/0312724.
6. Y.-J. Kim et al., Phys. Rev. Lett. 92, 137402 (2004).
7. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, 1999).
8. B. McCoy and T. T. Wu, The Two-Dimensional Ising Model (Harvard University Press, 1973).
9. G. Delfino, J. Phys. A 37, R45 (2004).
10. B. M. McCoy and M.-L. Yan, Nucl. Phys. B 215, 278 (1983).
11. B. M. McCoy, The Connection Between Statistical Mechanics and Quantum Field Theory, in Statistical Mechanics and Field Theory, edited by V. V. Bazhanov and C. J. Burden, (World Scientific, 1995) pp. 26-128.
12. G. Delfino, G. Mussardo, and P. Simonetti, Nucl. Phys. B 473, 469 (1996).
13. C. Itzykson and J.-M. Drouffe, Statistical Field Theory (Cambridge University Press, 1989).
14. B. Berg, M. Karowski and P. Weisz, Phys. Rev. D 19, 2477 (1979).
15. K. Karowski and P. Weisz, Nucl. Phys. B 139, 455 (1978).
16. M. Karowski, Phys. Rep. 49, 229 (1979).
17. F. A. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, 1990).
18. T. T. Wu, B. M. McCoy, C. A. Tracy and E. Barouch, Phys. Rev. B 13, 316 (1976).
19. E. Barouch, B. M. McCoy and T. T. Wu, Phys. Rev. Lett. 31, 1409 (1973).
20. A. B. Zamolodchikov, Int. J. Mod. Phys. A 4, 4235 (1989).
21. V. A. Fateev, Phys. Lett. B 324, 45 (1994).
22. P. Fonseca and A. Zamolodchikov, J. Stat. Phys. 110, 527 (2003).
23. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1991).
24. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, 1965).
25. G. Gat and B. Rosenstein, Phys. Rev. Lett. 70, 5 (1993).
26. E. Wigner, Phys. Rev. 46, 1002 (1934).
27. F. Mila and X. Zotos, Europhys. Lett. 24, 133 (1993).
28. K. Penc and F. Mila, Phys. Rev. B 49, 9670 (1994).
29. T. Giamarchi, Physica B 975, 230 (1997).
30. M. Nakamura, Phys. Rev. B 61, 16377 (2000).
31. F. H. L. Essler and A. M. Tsvelik, Phys. Rev. Lett. 88, 096403 (2002).
32. F. H. L. Essler and A. M. Tsvelik, Phys. Rev. Lett. 90, 126401 (2003).
33. K. Sano and Y. Ono, Combined Analysis of Numerical Diagonalization and Renormalization Group methods for the One-Dimensional U-V Model at Quarter filling, cond-mat/0401256.
34. A. A. Ovchinikov, Sov. Phys. JETP 37, 176 (1973).
35. N. F. Mott, Metal-Insulator Transitions, 2nd ed. (Taylor and Francis, London, 1990).
36. A. O. Gogolin, A. A. Nersesyan and A. M. Tsvelik, Bosonization in Strongly Correlated Systems (Cambridge University Press, 1999).
37. G. Delfino and G. Mussardo, Nucl. Phys. B 516, 675 (1998).
38. G. Mussardo, V. Riva and G. Sotkov, Nucl. Phys. B 687, 189 (2004).
39. E. Sorensen, I. Affleck, D. Augier and D. Poilblanc, Phys. Rev. B 58, R14701 (1998).
40. D. Augier, E. Sorensen, J. Riera, and D. Poilblanc, Phys. Rev B 60, 1075 (1999).
41. K. P. Schmidt, C. Knetter and G. S. Uhrig, Phys. Rev. B 69, 104417 (2004).
42. Al. B. Zamolodchikov, Int. J. Mod. Phys. A 10, 1125 (1995).
43. S. Lukyanov and A. Zamolodchikov, Nucl. Phys. B 493, 571 (1997), hep-th/9611238.
44. R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 11, 3424 (1975).