The Feynman-Schwinger representation in QCD

Annals of Physics

Volumn 300, Issue 1, 2002, Pages 54-87

  Simonov, Yu A ^a,b   Tjon, J A ^c,d,e  

^a INSTITUTE FOR THEORETICAL AND EXPERIMENTAL PHYSICS   (Russian Federation)

^b THOMAS JEFFERSON NATIONAL ACCELERATOR FACILITY   (United States)

^c UTRECHT UNIVERSITY   (Netherlands)

^d UNIVERSITY OF GRONINGEN   (Netherlands)

^e University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037174003     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1006/aphy.2002.6282     Document Type: Article

References (80)

1. R. P. Feynman, Phys. Rev. 80 (1950), 440; 84 (1951), 108.
2. V. A. Fock, Izv. Akad. Nauk USSR, OMEN (1937), 557;
3. J. Schwinger, Phys. Rev. 82 (1951), 664.
4. G. A. Milkhin and E. S. Fradkin, Zh. ETF 45 (1963), 1926;
5. E. S. Fradkin, Trudy FIAN 29 (1965), 7.
6. M. B. Halpern, A. Jevicki, and P. Senjovic, Phys. Rev. D 16 (1977), 2474;
7. R. Brandt et al., Phys. Rev. D 19 (1979), 1153;
8. S. Samuel, Nucl. Phys. B 149 (1979), 517;
9. J. Ishida and A. Hosoya, Prog. Theor. Phys. 62 (1979), 544.
10. Yu. A. Simonov, Nucl. Phys. B 307 (1988), 512.
11. Yu. A. Simonov, Yad. Fiz. 54 (1991), 192.
12. A. I. Karanikas and C. N. Ktorides, Phys. Lett. B 275 (1992), 403; Phys. Rev. D 52 (1995), 58883;
13. A. I. Karanikas, C. N. Ktorides, and N. G. Stefanis, Phys. Rev. D 52 (1995), 5898.
14. Z. Bern and D. A. Kosower, Phys. Rev. Lett. 66 (1991), 1669; Nucl. Phys. B 379 (1992), 451;
15. Z. Bern and D. C. Dunbar, Nucl. Phys. B 379 (1992), 562.
16. M. J. Strassler, Nucl. Phys. B 385 (1992), 145.
17. M. Reuter, M. G. Schmidt, and C. Schubert, Ann. Phys. (N.Y.) 259 (1997), 313;
18. H.-T. Sato and M. G. Schmidt, Nucl. Phys. B560 (1999), 551.
19. Yu. A. Simonov, JETP Lett. 54 (1991), 249; ibid. 55 (1992), 627; Phys. Atom. Nucl. 58 (1995), 309.
20. Yu. A. Simonov, in "Varenna 1995, Selected Topics in Nonperturbative QCD," p. 319, 1995.
21. H. G. Dosch, H.-J. Pirner, and Yu. A. Simonov, Phys. Lett. B 349 (1995), 335;
22. E. L. Gubankova and Yu. A. Simonov, Phys. Lett. B 360 (1995), 93;
23. N. O. Agasyan, D. Ebert, and E. M. Ilgenfritz, Nucl. Phys. A 637 (1998), 135.
24. N. G. van Kampen, Phys. Rep. C 24 (1976), 171.
25. Yu. A. Simonov, Phys. Lett. B 464 (1999), 265.
26. B. S. De Witt, Phys. Rev. 162 (1967), 1195;
27. J. Honerkamp, Nucl. Phys. B 48 (1972), 269;
28. G. 't Hooft, Nucl. Phys. B 62 (1973), 444; in "Lectures at Karpacz," Acta Univ. Wratislaviensis 368 (1976), 345;
29. L. F. Abbot, Nucl. Phys. B 185 (1981), 189.
30. Yu. A. Simonov, Phys. Atom. Nucl. 58 (1995), 107; JETP Lett. 75 (1993), 525;
31. Yu. A. Simonov, in "Lecture Notes in Physics" (H. Latal and W. Schweiger, Eds.), Vol. 479, p. 138, Springer-Verlag, New York/Berlin, 1996.
32. Yu. A. Simonov and J. A. Tjon, Ann. Phys. 228 (1993), 1.
33. J. A. Tjon, "Quark Confinement and Hadron Spectrum, III" (N. Isgur, Ed.), p. 113, World Scientific, Singapore, 2000.
34. T. Nieuwenhuis, J. A. Tjon, and Yu. A. Simonov, Few Body Systems Suppl. 7 (1994), 286.
35. T. Nieuwenhuis, Ph.D. thesis, University of Utrecht, 1995, unpublished.
36. T. Nieuwenhuis and J. A. Tjon, Phys. Lett. B 355 (1995), 283.
37. T. Nieuwenhuis and J. A. Tjon, Phys. Rev. Lett. 77 (1996), 814.
38. Ç. Şavkli, F. Gross, and J. A. Tjon, Phys. Rev. D 62 (2000), 116006.
39. Ç. Şavkli, F. Gross, and J. A. Tjon, Phys. Lett. B 62 (2002), 116.
40. Yu. A. Simonov and J. A. Tjon, hep-ph/0201005.
41. V. S. Dotsenko and S. N. Vergeles, Nucl. Phys. B 169 (1980), 527.
42. Yu. A. Simonov, Phys. Rep. C 320 (1999), 265; JETP Lett. 69 (1999), 505.
43. H. G. Dosch, Phys. Lett. B 190 (1987), 177;
44. H. G. Dosch and Yu. A. Simonov, Phys. Lett. B 205 (1988), 339;
45. Yu. A. Simonov, Nucl. Phys. B 307 (1988), 512.
46. Yu. A. Simonov, S. Titard, and F. J. Yndurain, Phys. Lett. B 359 (1995), 435.
47. Yu. A. Simonov, Nucl. Phys. B 324 (1989), 67;
48. H. G. Dosch and M. Schiestl, Phys. Lett. B 209 (1988), 85.
49. M. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 147 (1979), 385.
50. A. Di Giacomo and H. Panagopoulos, Phys. Lett. B 285 (1992), 133;
51. A. Di Giacomo, E. Meggiolaro, and H. Panagopoulos, Nucl. Phys. B 483 (1997), 371.
52. M. B. Voloshin, Nucl. Phys. B 154 (1979), 365, Sov. J. Nucl. Phys. 36 (1982), 143;
53. H. Leutwyler, Phys. Lett. B 98 (1981), 447.
54. A. M. Badallian and V. P. Yurov, Yad. Fiz. 51 (1990), 1368; Phys. Rev. D 42 (1990), 3138.
55. G. J. Gross, R. D. Pisarski, and L. G. Yaffe, Rev. Mod. Phys. 53 (1981), 43.
56. A. M. Badalian and V. I. Morgunov, Phys. Rev. D 60 (1999), 116008;
57. A. M. Badalian and B. L. G. Bakker, Phys. Rev. D 62 (2000), 94031.
58. A. Yu. Dubin, A. B. Kaidalov, and Yu. A. Simonov, Phys. Lett. B 343 (1995), 310; Phys. Atom. Nucl. 58 (1995), 300.
59. V. L. Morgunov, V. I. Shevchenko, and Yu. A. Simonov, Phys. Atom. Nucl. 61 (1998), 664; Phys. Lett. B 343 (1995), 310.
60. Yu. A. Simonov, Phys. Atom. Nucl. 60 (1997), 2069; hep-ph/9704301;
61. Yu. A. Simonov and J. A. Tjon, Phys. Rev. D 62 (2000), 014501; ibid. 62 (2000), 094511.
62. Yu. A. Simonov, Phys. Atom. Nucl. 62 (1999), 1932; hep-ph/9912383.
63. A. Yu. Dubin, A. B. Kaidalov, and Yu. A. Simonov, Phys. Lett. B 323 (1994), 41.
64. A. I. Akhiezer and V. B. Berestetskii, "Quantum Electrodynamics," Interscience, New York, 1965.
65. F. J. Yndurain, "The Theory of Quark and Gluon Interactions," 3rd ed., Chap. 5, p. 189, Springer-Verlag, New York/Berlin, 1998.
66. T. Kinoshita, J. Math. Phys. 3 (1962), 650;
67. T. D. Lee and M. Nauenberg, Phys. Rev 133 (1964), B1549.
68. Yu. A. Simonov, JETP Lett. 71 (2000), 127;
69. V. I. Shevchenko and Yu. A. Simonov, Phys. Rev. Lett. 85 (2000), 1811.
70. A. M. Badalian and Yu. A. Simonov, Yad. Fiz. 60 (1997), 714.
71. G. Sterman and S. Weinberg, Phys. Rev. Lett. 39 (1977), 1436.
72. A. B. Kaidalov and Yu. A. Simonov, Phys. Lett. B 477 (2000), 163; Phys. Atom. Nucl. 63 (2000), 1428.
73. S. G. Gorishny, A. L. Kataev, and S. A. Larin, Phys. Lett. B 259 (1991), 144;
74. M. A. Samuel and L. P. Surguladze, Phys. Rev. Lett. 66 (1991), 560.
75. G. t' Hooft, Nucl. Phys. B 72 (1974), 461.
76. P. Cea, G. Nardulli, and G. Preparata, Z. Phys. C 16 (1982) 135; Phys. Lett. B 115 (1982), 310.
77. R. K. Ellis, QCD at TASI '94, Fermilab-Conf-94/410-T.
78. S. Bethke et al., Phys. Lett. B 213 (1988), 235.
79. OPAL collaboration, Z. Phys. C 49 (1991), 375.
80. A. Di Giacomo, H. G. Dosch, V. I. Shevchenko, and Yu. A. Simonov, Phys. Rep., in press; hep-ph/0007223.