Strongly coupled 't Hooft model on the lattice

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 62, Issue 5, 2000, Pages 1-17

  Berruto, F ^a   Grignani, G ^a   Sodano, P ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18444371449     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.054510     Document Type: Article

References (69)

1. F. Wilczek, "Keynote talk at Panic '99," Uppsala, Sweden, 1999, hep-ph/9907340.
2. K. G. Wilson, Phys. Rev. D 10, 2445 (1974).
3. T. Banks, S. Rabi, L. Susskind, J. Kogut, D. R. T. Jones, P. N. Scharbach, and D. K. Sinclair, Phys. Rev. D 15, 1111 (1977).
4. J. Shigemitsu, Phys. Rev. D 18, 1709 (1978).
5. T. Banks, L. Susskind, and J. Kogut, Phys. Rev. D 13, 1043 (1976); A. Carroll, J. Kogut, D. K. Sinclair, and L. Susskind, ibid. 13, 2270 (1976).
6. T. Banks, L. Susskind, and J. Kogut, Phys. Rev. D 13, 1043 (1976); A. Carroll, J. Kogut, D. K. Sinclair, and L. Susskind, ibid. 13, 2270 (1976).
7. S. D. Drell, M. Weinstein, and S. Yankielowicz, Phys. Rev. D 14, 1627 (1976).
8. F. Berruto, G. Grignani, G. W. Semenoff, and P. Sodano, Phys. Rev. D 57, 5070 (1998).
9. S. Steinhardt, Phys. Rev. D 16, 1782 (1977).
10. F. Berruto, G. Grignani, G. W. Semenoff, and P. Sodano, Phys. Rev. D 59, 034504 (1999); Ann. Phys. (N.Y.) 275, 254 (1999).
11. F. Berruto, G. Grignani, G. W. Semenoff, and P. Sodano, Phys. Rev. D 59, 034504 (1999); Ann. Phys. (N.Y.) 275, 254 (1999).
12. J. Smit, Nucl. Phys. B175, 307 (1980).
13. A. Krasnitz and E. G. Klepfish, Phys. Rev. D 37, 2300 (1988).
14. G. W. Semenoff, Mod. Phys. Lett. A 7, 2811 (1992); E. Langmann and G. W. Semenoff, Phys. Lett. B 297, 175 (1992); M. C. Diamantini, E. Langman, G. W. Semenoff, and P. Sodano, Nucl. Phys. B406, 595 (1993); for a review see G. Grignani and G. W. Semenoff, in Field Theories for Low Dimensional Condensed Matter Systems, edited by G. Morandi, P. Sodano, A. Tagliacozzo, and V. Tognetti (Springer Verlag, Berlin, in press).
15. G. W. Semenoff, Mod. Phys. Lett. A 7, 2811 (1992); E. Langmann and G. W. Semenoff, Phys. Lett. B 297, 175 (1992); M. C. Diamantini, E. Langman, G. W. Semenoff, and P. Sodano, Nucl. Phys. B406, 595 (1993); for a review see G. Grignani and G. W. Semenoff, in Field Theories for Low Dimensional Condensed Matter Systems, edited by G. Morandi, P. Sodano, A. Tagliacozzo, and V. Tognetti (Springer Verlag, Berlin, in press).
16. G. W. Semenoff, Mod. Phys. Lett. A 7, 2811 (1992); E. Langmann and G. W. Semenoff, Phys. Lett. B 297, 175 (1992); M. C. Diamantini, E. Langman, G. W. Semenoff, and P. Sodano, Nucl. Phys. B406, 595 (1993); for a review see G. Grignani and G. W. Semenoff, in Field Theories for Low Dimensional Condensed Matter Systems, edited by G. Morandi, P. Sodano, A. Tagliacozzo, and V. Tognetti (Springer Verlag, Berlin, in press).
17. G. W. Semenoff, Mod. Phys. Lett. A 7, 2811 (1992); E. Langmann and G. W. Semenoff, Phys. Lett. B 297, 175 (1992); M. C. Diamantini, E. Langman, G. W. Semenoff, and P. Sodano, Nucl. Phys. B406, 595 (1993); for a review see G. Grignani and G. W. Semenoff, in Field Theories for Low Dimensional Condensed Matter Systems, edited by G. Morandi, P. Sodano, A. Tagliacozzo, and V. Tognetti (Springer Verlag, Berlin, in press).
18. L. Susskind, Phys. Rev. D 16, 3031 (1977); J. B. Kogut, Rev. Mod. Phys. 55, 775 (1983).
19. L. Susskind, Phys. Rev. D 16, 3031 (1977); J. B. Kogut, Rev. Mod. Phys. 55, 775 (1983).
20. G. Baskaran and P. W. Anderson, Phys. Rev. B 37, 580 (1988); I. Affleck and J. B. Marston, ibid. 37, 3774 (1988); J. B. Marston, Phys. Rev. Lett. 61, 1914 (1988); I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Phys. Rev. B 38, 745 (1988).
21. G. Baskaran and P. W. Anderson, Phys. Rev. B 37, 580 (1988); I. Affleck and J. B. Marston, ibid. 37, 3774 (1988); J. B. Marston, Phys. Rev. Lett. 61, 1914 (1988); I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Phys. Rev. B 38, 745 (1988).
22. G. Baskaran and P. W. Anderson, Phys. Rev. B 37, 580 (1988); I. Affleck and J. B. Marston, ibid. 37, 3774 (1988); J. B. Marston, Phys. Rev. Lett. 61, 1914 (1988); I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Phys. Rev. B 38, 745 (1988).
23. G. Baskaran and P. W. Anderson, Phys. Rev. B 37, 580 (1988); I. Affleck and J. B. Marston, ibid. 37, 3774 (1988); J. B. Marston, Phys. Rev. Lett. 61, 1914 (1988); I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Phys. Rev. B 38, 745 (1988).
24. R. B. Laughlin, cond-mat/9802180; P. Beran, D. Poiblanc, and R. B. Laughlin, Nucl. Phys. B73, 707 (1996).
25. F. Berruto, E. Coletti, G. Grignani, and P. Sodano, proceedings of "Lattice 99," Pisa, Italy, hep-lat/9910043.
26. H. Bethe, Z. Phys. 71, 205 (1931); L. Hulthén, Ark. Mat., Astron. Fys. 26A, 11 (1938); L. D. Faddeev and L. A. Takhtadzhyan, Phys. Lett. 85A, 375 (1981); L. D. Faddeev and L. A. Takhtadzhyan, J. Sov. Math. 24A, 241 (1984).
27. H. Bethe, Z. Phys. 71, 205 (1931); L. Hulthén, Ark. Mat., Astron. Fys. 26A, 11 (1938); L. D. Faddeev and L. A. Takhtadzhyan, Phys. Lett. 85A, 375 (1981); L. D. Faddeev and L. A. Takhtadzhyan, J. Sov. Math. 24A, 241 (1984).
28. H. Bethe, Z. Phys. 71, 205 (1931); L. Hulthén, Ark. Mat., Astron. Fys. 26A, 11 (1938); L. D. Faddeev and L. A. Takhtadzhyan, Phys. Lett. 85A, 375 (1981); L. D. Faddeev and L. A. Takhtadzhyan, J. Sov. Math. 24A, 241 (1984).
29. H. Bethe, Z. Phys. 71, 205 (1931); L. Hulthén, Ark. Mat., Astron. Fys. 26A, 11 (1938); L. D. Faddeev and L. A. Takhtadzhyan, Phys. Lett. 85A, 375 (1981); L. D. Faddeev and L. A. Takhtadzhyan, J. Sov. Math. 24A, 241 (1984).
30. M. Weinstein, Phys. Rev. D 61, 034505 (2000); C. J. Morningstar and M. Weinstein, ibid. 54, 4131 (1996); Phys. Rev. Lett. 73, 1873 (1994).
31. M. Weinstein, Phys. Rev. D 61, 034505 (2000); C. J. Morningstar and M. Weinstein, ibid. 54, 4131 (1996); Phys. Rev. Lett. 73, 1873 (1994).
32. M. Weinstein, Phys. Rev. D 61, 034505 (2000); C. J. Morningstar and M. Weinstein, ibid. 54, 4131 (1996); Phys. Rev. Lett. 73, 1873 (1994).
33. G. 't Hooft, Nucl. Phys. B75, 461 (1974); see also lectures given at the Erice Summer School, 1975.
34. G. 't Hooft, Nucl. Phys. B72, 461 (1974).
35. V. Baluni, Phys. Lett. 90B, 407 (1980).
36. G. Bhattacharya, Nucl. Phys. B205, 461 (1982).
37. P. J. Steinhardt, Nucl. Phys. B176, 100 (1980).
38. D. Amati and E. Rabinovici, Phys. Lett. 101B, 407 (1981).
39. C. J. Hamer, Nucl. Phys. B195, 503 (1982).
40. L. L. Salcedo, S. Levit, and J. W. Negele, Nucl. Phys. B361, 585 (1991).
41. K. Barad, M. Ogilvie, and C. Rebbi, Phys. Lett. 143B, 222 (1984).
42. J. B. Kogut and L. Susskind, Phys. Rev. D 11, 395 (1975).
43. S. L. Adler and W. A. Bardeen, Phys. Rev. 182, 1517 (1969); J. S. Bell and R. Jackiw, Nuovo Cimento A 60, 47 (1969).
44. S. L. Adler and W. A. Bardeen, Phys. Rev. 182, 1517 (1969); J. S. Bell and R. Jackiw, Nuovo Cimento A 60, 47 (1969).
45. G. A. Baker, Jr., Essential of Padé Approximants (Academic Press, New York, 1975).
46. A. R. Zhitnitsky, Phys. Lett. 165B, 405 (1985).
47. S. Coleman, Commun. Math. Phys. 31, 259 (1973); N. D. Mermin and H. Wagner, Phys. Rev. Lett. 22, 1133 (1966).
48. S. Coleman, Commun. Math. Phys. 31, 259 (1973); N. D. Mermin and H. Wagner, Phys. Rev. Lett. 22, 1133 (1966).
49. C. Gattringer and E. Seiler, Ann. Phys. (N.Y.) 233, 97 (1994).
50. E. Abdalla, M. C. B. Abdalla, and K. D. Rothe, Non-perturbative Methods in 2 Dimensional Quantum Field Theory (World Scientific, Singapore, 1991).
51. S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, 1985).
52. E. Witten, Nucl. Phys. B160, 57 (1979).
53. G. Ferretti, S. G. Rajeev, and Z. Yang, Int. J. Mod. Phys. A 7, 8001 (1992); P. F. Bedaque, I. Horvath, and S. G. Rajeev, Mod. Phys. Lett. A 7, 3347 (1992).
54. G. Ferretti, S. G. Rajeev, and Z. Yang, Int. J. Mod. Phys. A 7, 8001 (1992); P. F. Bedaque, I. Horvath, and S. G. Rajeev, Mod. Phys. Lett. A 7, 3347 (1992).
55. P. W. Anderson, Phys. Rev. 86, 694 (1952).
56. F. Berruto, G. Grignani, G. W. Semenoff, and P. Sodano, Proceedings of International Meeting on Mathematical Methods in Modern Theoretical Physics (ISPM 98), Tbilisi, Georgia, 1998.
57. F. Berruto, Doctoral thesis, University of Perugia, 1998, hep-th/9902036.
58. F. D. M. Haldane, Phys. Rev. Lett. 50, 1153 (1983).
59. S. Coleman, Phys. Rev. D 11, 2088 (1975).
60. E. Witten, Commun. Math. Phys. 92, 455 (1984); D. Gepner, Nucl. Phys. B252, 481 (1985); I. Affleck, ibid. B265, 448 (1986).
61. E. Witten, Commun. Math. Phys. 92, 455 (1984); D. Gepner, Nucl. Phys. B252, 481 (1985); I. Affleck, ibid. B265, 448 (1986).
62. E. Witten, Commun. Math. Phys. 92, 455 (1984); D. Gepner, Nucl. Phys. B252, 481 (1985); I. Affleck, ibid. B265, 448 (1986).
63. T. Grandou, H.-T. Cho, and H. M. Fried, Phys. Rev. D 37, 946 (1988).
64. J. H. Lowenstein and J. A. Swieca, Ann. Phys. (N.Y.) 68, 172 (1971); N. K. Nielsen and B. Schroer, Nucl. Phys. B120, 62 (1977).
65. J. H. Lowenstein and J. A. Swieca, Ann. Phys. (N.Y.) 68, 172 (1971); N. K. Nielsen and B. Schroer, Nucl. Phys. B120, 62 (1977).
66. J-Q. Jiang, X-Q. Luo, Z-H. Mei, H. Jirari, H. Kröger, and C-M. Wu, Phys. Rev. D 60, 014501 (1999).
67. M. Creutz, J. Math. Phys. 19, 2043 (1978); Rev. Mod. Phys. 50, 561 (1978); see also M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, England, 1983).
68. M. Creutz, J. Math. Phys. 19, 2043 (1978); Rev. Mod. Phys. 50, 561 (1978); see also M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, England, 1983).
69. M. Creutz, J. Math. Phys. 19, 2043 (1978); Rev. Mod. Phys. 50, 561 (1978); see also M. Creutz, Quarks, Gluons and Lattices (Cambridge University Press, Cambridge, England, 1983).