Quark confinement in a constituent quark model

Nuclear Physics A

Volumn 596, Issue 3-4, 1996, Pages 451-487

  Langfeld, Kurt ^a,b   Mannque, Rho ^a,b  

^a CEA SACLAY   (France)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584051     PISSN: 03759474     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9474(95)00410-6     Document Type: Article

References (79)

1. [1] R. Wilson, Phys. Rev. 179 (1969) 1499;
2. see, e.g. P. Pascual and R. Tarrach, QCD: Renormalization for the practitioner (Springer, Berlin, 1984).
3. [2] M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B 147 (1979) 385, 448; H.G. Dosch, M. Jamin and S. Narison, Phys. Lett. B 220 (1989) 265.
4. [2] M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B 147 (1979) 385, 448; H.G. Dosch, M. Jamin and S. Narison, Phys. Lett. B 220 (1989) 265.
5. [3] P. Olesen, Phys. Scripta 23 (1981) 1000; N.K. Nielsen and P. Olesen, Nucl. Phys. B 144 (1978) 376; B 160 (1979) 380; H.B. Nielsen and M. Ninomiya, Nucl. Phys. B 156 (1979) 1.
6. [3] P. Olesen, Phys. Scripta 23 (1981) 1000; N.K. Nielsen and P. Olesen, Nucl. Phys. B 144 (1978) 376; B 160 (1979) 380; H.B. Nielsen and M. Ninomiya, Nucl. Phys. B 156 (1979) 1.
7. [3] P. Olesen, Phys. Scripta 23 (1981) 1000; N.K. Nielsen and P. Olesen, Nucl. Phys. B 144 (1978) 376; B 160 (1979) 380; H.B. Nielsen and M. Ninomiya, Nucl. Phys. B 156 (1979) 1.
8. [3] P. Olesen, Phys. Scripta 23 (1981) 1000; N.K. Nielsen and P. Olesen, Nucl. Phys. B 144 (1978) 376; B 160 (1979) 380; H.B. Nielsen and M. Ninomiya, Nucl. Phys. B 156 (1979) 1.
9. [4] CG. Callan, R. Dashen and D.J. Gross, Phys. Rev. D 17 (1978) 2717; D 19 (1978) 1826.
10. [4] CG. Callan, R. Dashen and D.J. Gross, Phys. Rev. D 17 (1978) 2717; D 19 (1978) 1826.
11. [5] E.V. Shuryak, Nucl. Phys. B 203 (1982) 93; B 302 (1988) 259; D.I. Dyakonovand V.Yu. Petrov, Phys. Lett. B 130 (1983) 385; Nucl. Phys. B 245 (1984) 259; E.V. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. B 341 (1990) 1.
12. [5] E.V. Shuryak, Nucl. Phys. B 203 (1982) 93; B 302 (1988) 259; D.I. Dyakonovand V.Yu. Petrov, Phys. Lett. B 130 (1983) 385; Nucl. Phys. B 245 (1984) 259; E.V. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. B 341 (1990) 1.
13. [5] E.V. Shuryak, Nucl. Phys. B 203 (1982) 93; B 302 (1988) 259; D.I. Dyakonovand V.Yu. Petrov, Phys. Lett. B 130 (1983) 385; Nucl. Phys. B 245 (1984) 259; E.V. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. B 341 (1990) 1.
14. [5] E.V. Shuryak, Nucl. Phys. B 203 (1982) 93; B 302 (1988) 259; D.I. Dyakonovand V.Yu. Petrov, Phys. Lett. B 130 (1983) 385; Nucl. Phys. B 245 (1984) 259; E.V. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. B 341 (1990) 1.
15. [5] E.V. Shuryak, Nucl. Phys. B 203 (1982) 93; B 302 (1988) 259; D.I. Dyakonovand V.Yu. Petrov, Phys. Lett. B 130 (1983) 385; Nucl. Phys. B 245 (1984) 259; E.V. Shuryak and J.J.M. Verbaarschot, Nucl. Phys. B 341 (1990) 1.
16. [6] S.L. Adler, Phys. Rev. 177 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento A 60 (1969) 47; W.A. Bardeen, Nucl. Phys. B 75 (1974) 246; J. Wess and B. Zumino, Phys. Lett. B 37 (1971) 95.
17. [6] S.L. Adler, Phys. Rev. 177 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento A 60 (1969) 47; W.A. Bardeen, Nucl. Phys. B 75 (1974) 246; J. Wess and B. Zumino, Phys. Lett. B 37 (1971) 95.
18. [6] S.L. Adler, Phys. Rev. 177 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento A 60 (1969) 47; W.A. Bardeen, Nucl. Phys. B 75 (1974) 246; J. Wess and B. Zumino, Phys. Lett. B 37 (1971) 95.
19. [6] S.L. Adler, Phys. Rev. 177 (1969) 2426; J.S. Bell and R. Jackiw, Nuovo Cimento A 60 (1969) 47; W.A. Bardeen, Nucl. Phys. B 75 (1974) 246; J. Wess and B. Zumino, Phys. Lett. B 37 (1971) 95.
20. [7] G. 't Hooft, Phys. Reports 142 (1986) 357.
21. [8] M.B. Halpern, Phys. Rev. D 16 (1977) 1798, 3515.
22. [9] M. Schaden, H. Reinhardt, P.A. Amundsen and M.J. Lavelle, Nucl. Phys. B 339 ( 1990) 595; P.A. Amundsen and M. Schaden, Phys. Lett. B 252 (1990) 265.
23. [9] M. Schaden, H. Reinhardt, P.A. Amundsen and M.J. Lavelle, Nucl. Phys. B 339 ( 1990) 595; P.A. Amundsen and M. Schaden, Phys. Lett. B 252 (1990) 265.
24. [10] H. Reinhardt, Phys. Lett. B 257 (1991) 375.
25. [11] K. Langfeld and M. Schaden, Phys. Lett. B 272 ( 1991 ) 100; K. Langfeld, R. Alkofer and H. Reinhardt, Phys. Lett. B 277 (1992) 163.
26. [11] K. Langfeld and M. Schaden, Phys. Lett. B 272 ( 1991 ) 100; K. Langfeld, R. Alkofer and H. Reinhardt, Phys. Lett. B 277 (1992) 163.
27. [12] K.G. Wilson, Phys. Rev. D 10 (1974) 2445; M. Creutz, Phys. Rev. D 21 (1980) 2308; Phys. Rev. Lett. 45 (1980) 313; G. Münster, Phys. Lett. B 95 (1980) 59; C. Rebbi, Lattice gauge theories and Monte Carlo simulations (World Scientific, Singapore, 1983).
28. [12] K.G. Wilson, Phys. Rev. D 10 (1974) 2445; M. Creutz, Phys. Rev. D 21 (1980) 2308; Phys. Rev. Lett. 45 (1980) 313; G. Münster, Phys. Lett. B 95 (1980) 59; C. Rebbi, Lattice gauge theories and Monte Carlo simulations (World Scientific, Singapore, 1983).
29. [12] K.G. Wilson, Phys. Rev. D 10 (1974) 2445; M. Creutz, Phys. Rev. D 21 (1980) 2308; Phys. Rev. Lett. 45 (1980) 313; G. Münster, Phys. Lett. B 95 (1980) 59; C. Rebbi, Lattice gauge theories and Monte Carlo simulations (World Scientific, Singapore, 1983).
30. [12] K.G. Wilson, Phys. Rev. D 10 (1974) 2445; M. Creutz, Phys. Rev. D 21 (1980) 2308; Phys. Rev. Lett. 45 (1980) 313; G. Münster, Phys. Lett. B 95 (1980) 59; C. Rebbi, Lattice gauge theories and Monte Carlo simulations (World Scientific, Singapore, 1983).
31. [12] K.G. Wilson, Phys. Rev. D 10 (1974) 2445; M. Creutz, Phys. Rev. D 21 (1980) 2308; Phys. Rev. Lett. 45 (1980) 313; G. Münster, Phys. Lett. B 95 (1980) 59; C. Rebbi, Lattice gauge theories and Monte Carlo simulations (World Scientific, Singapore, 1983).
32. [13] J. Engels, J. Jersak, K. Kanaya, E. Laermann, C.B. Lang, T. Neuhaus and H. Satz, Nucl. Phys. B 280 (1987) 577; A.D. Giacomo, M. Maggiore, S. Olejnik, Nucl. Phys. B 347 (1990) 441; L.D. Debbio and A.D. Giacomo, Phys. Lett. B 267 (1991) 254; T.L. Ivanenko, A.V. Pochinskii and M.I. Polikarpov, Phys. Lett. B 302 (1993) 458.
33. [13] J. Engels, J. Jersak, K. Kanaya, E. Laermann, C.B. Lang, T. Neuhaus and H. Satz, Nucl. Phys. B 280 (1987) 577; A.D. Giacomo, M. Maggiore, S. Olejnik, Nucl. Phys. B 347 (1990) 441; L.D. Debbio and A.D. Giacomo, Phys. Lett. B 267 (1991) 254; T.L. Ivanenko, A.V. Pochinskii and M.I. Polikarpov, Phys. Lett. B 302 (1993) 458.
34. [13] J. Engels, J. Jersak, K. Kanaya, E. Laermann, C.B. Lang, T. Neuhaus and H. Satz, Nucl. Phys. B 280 (1987) 577; A.D. Giacomo, M. Maggiore, S. Olejnik, Nucl. Phys. B 347 (1990) 441; L.D. Debbio and A.D. Giacomo, Phys. Lett. B 267 (1991) 254; T.L. Ivanenko, A.V. Pochinskii and M.I. Polikarpov, Phys. Lett. B 302 (1993) 458.
35. [13] J. Engels, J. Jersak, K. Kanaya, E. Laermann, C.B. Lang, T. Neuhaus and H. Satz, Nucl. Phys. B 280 (1987) 577; A.D. Giacomo, M. Maggiore, S. Olejnik, Nucl. Phys. B 347 (1990) 441; L.D. Debbio and A.D. Giacomo, Phys. Lett. B 267 (1991) 254; T.L. Ivanenko, A.V. Pochinskii and M.I. Polikarpov, Phys. Lett. B 302 (1993) 458.
36. [14] A.A. Migdal, Phys. Reports 102 (1983) 199.
37. [15| M. Baker, J.S. Ball and F. Zachariasen, Phys. Reports 209 (1991) 73; J. Hosek, Phys. Lett. B 226 (1989) 377; T. Banks and M. Spiegelglas, Nucl. Phys. B 152 (1979) 478; T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 752; M. Maedan and T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 229.
38. [15| M. Baker, J.S. Ball and F. Zachariasen, Phys. Reports 209 (1991) 73; J. Hosek, Phys. Lett. B 226 (1989) 377; T. Banks and M. Spiegelglas, Nucl. Phys. B 152 (1979) 478; T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 752; M. Maedan and T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 229.
39. [15| M. Baker, J.S. Ball and F. Zachariasen, Phys. Reports 209 (1991) 73; J. Hosek, Phys. Lett. B 226 (1989) 377; T. Banks and M. Spiegelglas, Nucl. Phys. B 152 (1979) 478; T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 752; M. Maedan and T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 229.
40. [15| M. Baker, J.S. Ball and F. Zachariasen, Phys. Reports 209 (1991) 73; J. Hosek, Phys. Lett. B 226 (1989) 377; T. Banks and M. Spiegelglas, Nucl. Phys. B 152 (1979) 478; T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 752; M. Maedan and T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 229.
41. [15| M. Baker, J.S. Ball and F. Zachariasen, Phys. Reports 209 (1991) 73; J. Hosek, Phys. Lett. B 226 (1989) 377; T. Banks and M. Spiegelglas, Nucl. Phys. B 152 (1979) 478; T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 752; M. Maedan and T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 229.
42. [15| M. Baker, J.S. Ball and F. Zachariasen, Phys. Reports 209 (1991) 73; J. Hosek, Phys. Lett. B 226 (1989) 377; T. Banks and M. Spiegelglas, Nucl. Phys. B 152 (1979) 478; T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 752; M. Maedan and T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 229.
43. [15| M. Baker, J.S. Ball and F. Zachariasen, Phys. Reports 209 (1991) 73; J. Hosek, Phys. Lett. B 226 (1989) 377; T. Banks and M. Spiegelglas, Nucl. Phys. B 152 (1979) 478; T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 752; M. Maedan and T. Suzuki, Prog. Theo. Phys. 80 (1988) 929; 81 (1989) 229.
44. [16] G. 't Hooft, Nucl. Phys. B 190 (1981) 455.
45. [17] N. Seiberg and E. Wirten, Nucl. Phys. B 426 (1994) 19.
46. [18] N. Seiberg and E. Witten, Nucl. Phys. B 431 (1994) 484.
47. [19] A.S. Cattaneo, P. Cotta-Ramusino, A. Gamba and M. Martellini, The Donaldson-Witten invariants in pure 4d-QCD with order and disorder 't Hooft-like operators, hep-th/9502110.
48. [20] F.T. Hawes, C.D. Roberts and A.G. Williams, Phys. Rev. D 49 (1994) 4683.
49. [21] M. Stingl, Phys. Rev. D 34 (1986) 3863; D 36 (1987) 651; U. Häbel, R. Könning, H.-G. Reusch, M. Stingl and S. Wigard, Z. Phys. A 336 (1990) 435; D. Zwanziger, Nucl. Phys. B 364 (1991) 127.
50. [21] M. Stingl, Phys. Rev. D 34 (1986) 3863; D 36 (1987) 651; U. Häbel, R. Könning, H.-G. Reusch, M. Stingl and S. Wigard, Z. Phys. A 336 (1990) 435; D. Zwanziger, Nucl. Phys. B 364 (1991) 127.
51. [21] M. Stingl, Phys. Rev. D 34 (1986) 3863; D 36 (1987) 651; U. Häbel, R. Könning, H.-G. Reusch, M. Stingl and S. Wigard, Z. Phys. A 336 (1990) 435; D. Zwanziger, Nucl. Phys. B 364 (1991) 127.
52. [21] M. Stingl, Phys. Rev. D 34 (1986) 3863; D 36 (1987) 651; U. Häbel, R. Könning, H.-G. Reusch, M. Stingl and S. Wigard, Z. Phys. A 336 (1990) 435; D. Zwanziger, Nucl. Phys. B 364 (1991) 127.
53. [22] R.D. Bowler and M.C. Birse, Nucl. Phys. A 582 (1995) 655.
54. [23] T.D. Lee and G.C. Wick, Nucl. Phys. B 9 (1969) 209; R.E. Cutkosky, P.V. Landshoff, D.I. Olive and J.C. Polkinghorne, Nucl. Phys. B 12 (1969) 281.
55. [23] T.D. Lee and G.C. Wick, Nucl. Phys. B 9 (1969) 209; R.E. Cutkosky, P.V. Landshoff, D.I. Olive and J.C. Polkinghorne, Nucl. Phys. B 12 (1969) 281.
56. [24] A. Smilga and J.J.M. Verbaarschot, Phys. Rev. D 51 (1995) 829.
57. [25] Y. Nambu and G. Jona-Lasinio, Phys. Rev. 124 (1961) 246, 255.
58. [26] U. Vogel and W. Weise, Prog. Part. Nucl. Phys. 27 (1991) 195; D. Ebert, H. Reinhardt and M.K. Volkov, Prog. Part. Nucl. Phys. 33 (1994) 1.
59. [26] U. Vogel and W. Weise, Prog. Part. Nucl. Phys. 27 (1991) 195; D. Ebert, H. Reinhardt and M.K. Volkov, Prog. Part. Nucl. Phys. 33 (1994) 1.
60. [27] S.P. Klevansky, Rev. Mod. Phys. 64 (1992) 649.
61. [28] M. Jaminon, R.M. Galain, G. Ripka and P. Stassart, Nucl. Phys. A 537 (1992) 418; R.M. Galain, G. Ripka, M. Jaminon and P. Stassart, Europhys. Lett. 14 (1991) 7; H. Weigel, R. Alkofer and H. Reinhardt, Phys. Rev. D 49 (1994) 5958.
62. [28] M. Jaminon, R.M. Galain, G. Ripka and P. Stassart, Nucl. Phys. A 537 (1992) 418; R.M. Galain, G. Ripka, M. Jaminon and P. Stassart, Europhys. Lett. 14 (1991) 7; H. Weigel, R. Alkofer and H. Reinhardt, Phys. Rev. D 49 (1994) 5958.
63. [28] M. Jaminon, R.M. Galain, G. Ripka and P. Stassart, Nucl. Phys. A 537 (1992) 418; R.M. Galain, G. Ripka, M. Jaminon and P. Stassart, Europhys. Lett. 14 (1991) 7; H. Weigel, R. Alkofer and H. Reinhardt, Phys. Rev. D 49 (1994) 5958.
64. [29] P.W. Anderson, Phys. Rev. 109 (1958) 1492; D.J. Thouless, Phys. Reports 67 (1980) 5; E. Abrahams, Phys. Reports 67 (1980) 9.
65. [29] P.W. Anderson, Phys. Rev. 109 (1958) 1492; D.J. Thouless, Phys. Reports 67 (1980) 5; E. Abrahams, Phys. Reports 67 (1980) 9.
66. [29] P.W. Anderson, Phys. Rev. 109 (1958) 1492; D.J. Thouless, Phys. Reports 67 (1980) 5; E. Abrahams, Phys. Reports 67 (1980) 9.
67. [30] R. Oehme, Analytic structure of amplitudes in gauge theories with confinement, EFI 94-39, MPI-Ph/94-52.
68. [31] J.I. Kapusta, Finite-temperature field theory (Cambridge Univ. Press, Cambridge, 1989).
69. [32] See for a recent discussion, G.E. Brown and M. Rho, Chiral restoration in hot and/or dense matter, Phys. Reports, to appear.
70. [33] L. McLerran, Rev. Mod. Phys. 58 (1986) 1021.
71. [34] J.B. Kogut, D.K. Sinclair and K.C. Wang, Phys. Lett. B 263 (1991) 101.
72. [35] V. Koch and G.E. Brown, Nucl. Phys. A 560 (1993) 345.
73. [36] J. Govaerts, J.E. Mandula and J. Weyers, Phys. Lett. B 130 (1983) 427; Nucl. Phys. B 237 (1984) 59.
74. [36] J. Govaerts, J.E. Mandula and J. Weyers, Phys. Lett. B 130 (1983) 427; Nucl. Phys. B 237 (1984) 59.
75. [37] T. Ghergetta, Phys. Rev. D 50 (1994) 5985.
76. [38] J.J. Sakurai, Currents and mesons (Univ. of Chicago Press, Chicago, 1969), and references therein.
77. [39] D. Ebert, T. Feldmann, R. Friedrich and H. Reinhardt, Nucl. Phys. B 434 (1995) 619.
78. [40] T.-P. Cheng and L.-F. Li, Gauge theory of elementary particle physics (Oxford Univ. Press, New York, 1984).
79. [41] G.E. Brown and M. Rho, Phys. Rev. Lett. 66 (1991) 2720.