Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons

Annals of Physics

Volumn 322, Issue 9, 2007, Pages 2021-2054

  Osipov, A A ^a   Hiller, B ^a   Blin, A H ^a   da Providencia J ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547108091     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2006.08.004     Document Type: Article

References (108)

1. Weinberg S. Phys. A 96 (1979) 327
2. Gasser J., and Leutwyler H. Ann. Phys. (NY) 158 (1984) 142
3. Gasser J., and Leutwyler H. Nucl. Phys. B 250 (1985) 465
4. Nambu Y., and Jona-Lasinio G. Phys. Rev. 122 (1961) 345 124 (1961) 246
5. Vaks V.G., and Larkin A.I. Zh. Éksp. Teor. Fiz. 40 (1961) 282 [Sov. Phys. JETP 13 (1961) 192]
6. Arbuzov B.A., Tavkhelidze A.N., and Faustov R.N. Dokl. Akad. Nauk SSSR 139 (1961) 345 [Sov. Phys. Dokl. 6 (1962) 598]
7. Shuryak E.V. Phys. Rep. 391 (2004) 381
8. Simonov Yu.A. Phys. Lett. B412 (1977) 371
9. Simonov Yu.A. Phys. Rev. D 65 (2002) 094018
10. 't Hooft G. Phys. Rev. D 14 (1976) 3432
11. 't Hooft G. Phys. Rev. D 18 (1978) 2199
12. Witten E. Nucl. Phys. B 156 (1979) 269
13. Veneziano G. Nucl. Phys. B 159 (1979) 213
14. Di Vecchia P. Phys. Lett. B 85 (1979) 357
15. Di Vecchia P., and Veneziano G. Nucl. Phys. B 171 (1980) 253
16. Kawarabayashi K., and Ohta N. Nucl. Phys. B 175 (1980) 477
17. Rosenzweig C., Schechter J., and Trahern C.G. Phys. Rev. D 21 (1980) 3388
18. Alkofer R., and Zahed I. Mod. Phys. Lett. A 4 (1989) 1737
19. Alkofer R., and Zahed I. Phys. Lett. B 238 (1990) 149
20. Bernard V., Jaffe R.L., and Meissner U.-G. Phys. Lett. B 198 (1987) 92
21. Bernard V., Jaffe R.L., and Meissner U.-G. Nucl. Phys. B 308 (1988) 753
22. Reinhardt H., and Alkofer R. Phys. Lett. B 207 (1988) 482
23. Klimt S., Lutz M., Vogl U., and Weise W. Nucl. Phys. A 516 (1990) 429
24. Vogl U., Lutz M., Klimt S., and Weise W. Nucl. Phys. A 516 (1990) 469
25. Vogl U., and Weise W. Progr. Part. Nucl. Phys. 27 (1991) 195
26. Takizawa M., Tsushima K., Kohyama Y., and Kubodera K. Nucl. Phys. A 507 (1990) 611
27. Klevansky S.P. Rev. Mod. Phys. 64 (1992) 649
28. Hatsuda T., and Kunihiro T. Phys. Rep. 247 (1994) 221. Available from:
29. Bernard V., Blin A.H., Hiller B., Meißner U.-G., and Ruivo M.C. Phys. Lett. B 305 (1993) 163. Available from:
30. Dmitrašinović V. Nucl. Phys. A 686 (2001) 379. Available from:
31. Naito K., Oka M., Takizawa M., and Umekawa T. Progr. Theor. Phys. 109 (2003) 969. Available from:
32. A.A. Osipov, B. Hiller, V. Bernard, A.H. Blin, Ann. Phys. (NY) (in press), Available on line 18 April 2006. Available also from:
33. Hiller B., Osipov A.A., Bernard V., and Blin A.H. SIGMA 2 (2006) 026. Available from:
34. Osipov A.A., Hiller B., and da Providência J. Phys. Lett. B 634 (2006) 48. Available from:
35. Eguchi T. Phys. Rev. D 14 (1976) 2755
36. Kikkawa K. Prog. Theor. Phys. 56 (1976) 947
37. D. Diakonov, Chiral symmetry breaking by instantons, Lectures at the Enrico Fermi school in Physics, Varenna, June 27-July 7, 1995. Available from:
38. D. Diakonov, Chiral quark-soliton model, Lectures at the Advanced Summer School on Non-Perturbative Field Theory, Peniscola, Spain, June 2-6, 1997. Available from: .
39. Schwinger J. Phys. Rev. 82 (1951) 664
40. DeWitt B.S. Dynamical Theory of Groups and Fields (1965), Gordon and Breach, New York
41. DeWitt B.S. Phys. Rep. 19 (1975) 295
42. Ball R.D. Phys. Rep. 182 (1989) 1
43. Vassilevich D.V. Phys. Rep. 388 (2003) 270. Available from:
44. Osipov A.A., and Hiller B. Phys. Lett. B 515 (2001) 458. Available from:
45. Osipov A.A., and Hiller B. Phys. Rev. D 63 (2001) 094009. Available from:
46. Osipov A.A., and Hiller B. Phys. Rev. D 64 (2001) 087701. Available from:
47. Witten E. Nucl. Phys. B 160 (1979) 57
48. Coleman S., and Witten E. Phys. Rev. Lett. 45 (1980) 100
49. Vafa C., and Witten E. Nucl. Phys. B 234 (1984) 173
50. Volkov M.K. Ann. Phys. (NY) 157 (1984) 282
51. Volkov M.K. Sov. J. Part. Nuclei 17 (1986) 186
52. Ebert D., and Reinhardt H. Nucl. Phys. B 271 (1986) 188
53. Bijnens J., Bruno C., and de Rafael E. Nucl. Phys. B 390 (1993) 501. Available from:
54. Okubo S. Phys. Lett. B 5 (1963) 165
55. G. Zweig, CERN Report No. 8419/TH412 (1964).
56. Iizuka I. Progr. Theor. Phys. Suppl. 37-38 (1966) 21
57. Osipov A.A., Hansen H., and Hiller B. Nucl. Phys. A 745 (2004) 81. Available from:
58. Osipov A.A., and Hiller B. Phys. Lett. B 539 (2002) 76
59. Osipov A.A., and Hiller B. Eur. Phys. J.C 35 (2004) 223. Available from:
60. Witten E. Ann. Phys. (NY) 128 (1980) 363
61. Arnowitt R., and Nath P. Phys. Rev. D 23 (1981) 473
62. Nucl. Phys. B 209 (1982) 234 251
63. Creutz M. Phys. Rev. D 52 (1995) 2951. Available from:
64. Halperin I., and Zhitnitsky A. Phys. Rev. Lett. 81 (1998) 4071. Available from:
65. Smilga A.V. Phys. Rev. D 59 (1999) 114021. Available from:
66. Shifman M. Phys. Rev. D 59 (1999) 021501. Available from:
67. Tytgat M.H. Phys. Rev. D 61 (2000) 114009. Available from:
68. Gabadadze G., and Shifman M. Int. J. Mod. Phys. A 17 (2002) 3689. Available from:
69. Bicudo P.J.A., Ribeiro J.E.F.T., and Nefediev A.V. Phys. Rev. D 65 (2002) 085026. Available from:
70. Nefediev A.V., and Ribeiro J.E.F.T. Phys. Rev. D 70 (2004) 094020. Available from:
71. P. Bicudo, Available from: .
72. Pais A. Phys. Rev. 173 (1968) 1587
73. Gell-Mann M., and Lévy M. Nuovo Cimento 16 (1960) 705
74. Particle Data Group, Review of Particle Properties, Phys. Lett. B 592 (2004) 1.
75. Keiser R. Diploma Work (1997), University of Bern
76. H. Leutwyler, Proc. QCD 97, Montpellier, France, July 1997, in: S. Narison (Ed.), Nucl. Phys. B (Proc. Suppl.) 64 (1998) 223. Available from:
77. R. Keiser, H. Leutwyler, Available from: .
78. Feldmann T., Kroll P., and Stech B. Phys. Rev. D58 (1998) 114006
79. Feldmann T. Int. J. Mod. Phys. A15 (2000) 159. Available from:
80. Feldmann T., Kroll P., and Stech B. Phys. Lett. B 449 (1999) 339
81. Del Debbio L., Giusti L., and Pica C. Phys. Rev. Lett. 94 (2005) 032003. Available from:
82. Dmitrašinović V. Phys. Rev. C 53 (1996) 1383
83. Weinstein J.D., and Isgur N. Phys. Rev. D 41 (1990) 2236
84. Janssen J., Pearce B.C., Holinde K., and Speth J. Phys. Rev. D 52 (1995) 2690
85. Locher M.P., Markushin V.E., and Zheng H.Q. Eur. Phys. J.C 4 (1998) 317
86. Achasov N.N. Nucl. Phys. A 728 (2003) 425
87. E. Klempt, Available from: .
88. Aitala E.M., et al. Phys. Rev. Lett. 89 (2002) 121801. Available from:
89. C. Goebel, on behalf of the E791 Collaboration, Proceedings of Heavy Quarks at Fixed Target, Rio de Janeiro, October 2000, 373. Available from: .
90. van Beveren E., Rjken T.A., Metzger K., Dullemond C., Rupp G., and Ribeiro J.E. Z. Phys. C30 (1986) 615
91. E. van Beveren, G. Rupp, N. Petropoulos, F. Kleefeld, Effective Theories of Low Energy QCD, 2nd Int. Workshop on Hadron Physics, Coimbra, Portugal, AIP Conference Proceedings 660 (2003) 353.
92. Napsuciale M., and Rodriguez S. Int. J. Mod. Phys. A16 (2001) 3011. Available from:
93. M. Napsuciale, A. Wirzba, M. Kirchbach, Available from:
94. M. Napsuciale, Available from: .
95. Volkov M.K., Nagy M., and Yudichev V.L. Nuovo Chim. A 112 (1999) 225
96. Volkov M.K., and Yudichev V.L. Phys. Atom. Nucl. 62 (1999) 1567 [Yad. Fiz. 62 (1999) 1674]
97. Volkov M.K., and Yudichev V.L. Eur. Phys. J.A 10 (2001) 109
98. Dai Y.-B., and Wu Y.-L. Eur. Phys. J.C 39 (2005) S1-S8. Available from:
99. J.A. Oller, E. Oset, J.R. Peláez, Phys. ReV. D59 (1999) 074001 (J.A. Oller, E. Oset, J.R. Peláez, Phys. ReV. D60 (1999) 099906). Available from: .
100. Jaffe R.L. Phys. Rev. D 15 (1977) 267
101. Yu. Kalashnikova, A. Kudryavtsev, A.V. Nefedief, J. Haidenbauer, C. Hanhart, Available from:
102. M. Uehara, Available from: .
103. Klempt E., Metsch B.C., Münz C.R., and Petry H.R. Phys. Lett. B 361 (1995) 160
104. Ritter C., Metsch B.C., Münz C.R., and Petry H.R. Phys. Lett. B 380 (1996) 431
105. Bramon A., and Scadron M.D. Phys. Lett. B 234 (1990) 346
106. Bramon A., Escribano R., and Scadron M.D. Eur. Phys. J.C 7 (1999) 271. Available from:
107. Jamin M. Phys. Lett. B 538 (2002) 71
108. Bali G.S. Phys. Rept. 343 (2001) 1. Available from: