Solution for the BFKL pomeron calculus in zero transverse dimensions

Nuclear Physics A

Volumn 779, Issue , 2006, Pages 142-176

  Kozlov, M ^a   Levin, E ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

BFKL pomeron; Exact solution; Generating functional; Semi classical solution; Sturm Liouville problem

Indexed keywords

EID: 33750147752     PISSN: 03759474     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysa.2006.08.011     Document Type: Article

References (100)

1. Gribov L.V., Levin E.M., and Ryskin M.G. Phys. Rep. 100 (1983) 1
2. Mueller A.H., and Qiu J. Nucl. Phys. B 268 (1986) 427
3. Kuraev E.A., Lipatov L.N., and Fadin F.S. Sov. Phys. JETP 45 (1977) 199
4. Balitsky Ya.Ya., and Lipatov L.N. Sov. J. Nucl. Phys. 28 (1978) 22
5. Bartels J., Braun M., and Vacca G.P. Eur. Phys. J. C 40 (2005) 419. hep-ph/0412218
6. Bartels J., and Ewerz C. JHEP 9909 (1999) 026. hep-ph/9908454
7. Bartels J., and Wusthoff M. Z. Phys. C 66 (1995) 157
8. Mueller A.H., and Patel B. Nucl. Phys. B 425 (1994) 471. hep-ph/9403256
9. Bartels J. Z. Phys. C 60 (1993) 471
10. Braun M.A. Phys. Lett. B 632 (2006) 297. hep-ph/0512057
11. Braun M.A. hep-ph/0504002
12. Braun M.A. Eur. Phys. J. C 16 (2000) 337. hep-ph/0001268
13. Braun M.A. Eur. Phys. J. C 6 (1999) 321. hep-ph/9706373
14. Braun M.A., and Vacca G.P. Eur. Phys. J. C 6 (1999) 147. hep-ph/9711486
15. Navelet H., and Peschanski R. Nucl. Phys. B 634 (2002) 291. hep-ph/0201285
16. Navelet H., and Peschanski R. Phys. Rev. Lett. 82 (1999) 137. hep-ph/9809474
17. Navelet H., and Peschanski R. Nucl. Phys. B 507 (1997) 353. hep-ph/9703238
18. Bartels J., Lipatov L.N., and Vacca G.P. Nucl. Phys. B 706 (2005) 391. hep-ph/0404110
19. Gribov V.N. Sov. Phys. JETP 26 (1968) 414
20. Gribov V.N. Zh. Eksp. Teor. Fiz. 53 (1967) 654
21. Mueller A.H. Nucl. Phys. B 415 (1994) 373
22. Mueller A.H. Nucl. Phys. B 437 (1995) 107
23. Levin E., and Lublinsky M. Nucl. Phys. A 730 (2004) 191. hep-ph/0308279
24. Levin E., and Lublinsky M. Phys. Lett. B 607 (2005) 131. hep-ph/0411121
25. Levin E., and Lublinsky M. Nucl. Phys. A 763 (2005) 172. hep-ph/0501173
26. Levin E. Nucl. Phys. A 763 (2005) 140. hep-ph/0502243
27. Rembiesa P., and Stasto A.M. Nucl. Phys. B 725 (2005) 251. hep-ph/0503223
28. Shoshi A.I., and Xiao B.W. Pomeron loops in zero transverse dimensions. hep-ph/0512206
29. McLerran L., and Venugopalan R. Phys. Rev. D 49 (1994) 2233
30. McLerran L., and Venugopalan R. Phys. Rev. D 49 (1994) 3352
31. McLerran L., and Venugopalan R. Phys. Rev. D 50 (1994) 2225
32. McLerran L., and Venugopalan R. Phys. Rev. D 53 (1996) 458
33. McLerran L., and Venugopalan R. Phys. Rev. D 59 (1999) 09400
34. Balitsky I. hep-ph/9509348
35. Balitsky I. Phys. Rev. D 60 (1999) 014020. hep-ph/9812311
36. Kovchegov Y.V. Phys. Rev. D 60 (1999) 034008. hep-ph/9901281
37. Levin E., and Tuchin K. Nucl. Phys. A 693 (2001) 787. hep-ph/0101275
38. Levin E., and Tuchin K. Nucl. Phys. A 691 (2001) 779. hep-ph/0012167
39. Levin E., and Tuchin K. Nucl. Phys. B 573 (2000) 833. hep-ph/9908317
40. Kozlov M., and Levin E. Nucl. Phys. A 764 (2001) 498. hep-ph/0504146
41. Iancu E., Itakura K., and McLerran L. Nucl. Phys. A 708 (2002) 327. hep-ph/0203137
42. Armesto N., and Braun M.A. Eur. Phys. J. C 20 (2001) 517. hep-ph/0104038
43. Lublinsky M. Eur. Phys. J. C 21 (2001) 513. hep-ph/0106112
44. Levin E., and Lublinsky M. Nucl. Phys. A 712 (2002) 95. hep-ph/0207374
45. Levin E., and Lublinsky M. Eur. Phys. J. C 22 (2002) 647. hep-ph/0108239
46. Lublinsky M., Gotsman E., Levin E., and Maor U. Nucl. Phys. A 696 (2001) 851. hep-ph/0102321
47. Lublinsky M., Gotsman E., Levin E., and Maor U. Eur. Phys. J. C 27 (2003) 411. hep-ph/0209074
48. Golec-Biernat K., Motyka L., and Stasto A.M. Phys. Rev. D 65 (2002) 074037. hep-ph/0110325
49. Iancu E., Itakura K., and Munier S. Phys. Lett. B 590 (2004) 199. hep-ph/0310338
50. Rummukainen K., and Weigert H. Nucl. Phys. A 739 (2004) 183. hep-ph/0309306
51. Golec-Biernat K., and Stasto A.M. Nucl. Phys. B 668 (2003) 345. hep-ph/0306279
52. Gotsman E., Kozlov M., Levin E., Maor U., and Naftali E. Nucl. Phys. A 742 (2004) 55. hep-ph/0401021
53. Kutak K., and Stasto A.M. Eur. Phys. J. C 41 (2005) 343. hep-ph/0408117
54. Chachamis G., Lublinsky M., and Sabio Vera A. Nucl. Phys. A 748 (2005) 649. hep-ph/0408333
55. Albacete J.L., Armesto N., Milhano J.G., Salgado C.A., and Wiedemann U.A. Phys. Rev. D 71 (2005) 014003. hep-ph/0408216
56. Gotsman E., Levin E., Maor U., and Naftali E. Nucl. Phys. A 750 (2005) 391. hep-ph/0411242
57. Mueller A.H., and Patel B. Nucl. Phys. B 425 (1974) 471
58. Iancu E., and Mueller A.H. Nucl. Phys. A 730 (2004) 460. hep-ph/0308315
59. Iancu E., and Mueller A.H. Nucl. Phys. A 730 (2004) 494. hep-ph/0309276
60. Kozlov M., and Levin E. Nucl. Phys. A 739 (2004) 291. hep-ph/0401118
61. Jalilian-Marian J., Kovner A., Leonidov A., and Weigert H. Phys. Rev. D 59 (1999) 014014. hep-ph/9706377
62. Jalilian-Marian J., Kovner A., Leonidov A., and Weigert H. Nucl. Phys. B 504 (1997) 415. hep-ph/9701284
63. Jalilian-Marian J., Kovner A., and Weigert H. Phys. Rev. D 59 (1999) 014015. hep-ph/9709432
64. Kovner A., Milhano J.G., and Weigert H. Phys. Rev. D 62 (2000) 114005. hep-ph/0004014
65. Iancu E., Leonidov A., and McLerran L.D. Phys. Lett. B 510 (2001) 133. hep-ph/0102009
66. Iancu E., Leonidov A., and McLerran L.D. Nucl. Phys. A 692 (2001) 583. hep-ph/0011241
67. Ferreiro E., Iancu E., Leonidov A., and McLerran L. Nucl. Phys. A 703 (2002) 489. hep-ph/0109115
68. Weigert H. Nucl. Phys. A 703 (2002) 823. hep-ph/0004044
69. Iancu E., and Triantafyllopoulos D.N. Nucl. Phys. A 756 (2005) 419. hep-ph/0411405
70. Iancu E., and Triantafyllopoulos D.N. Phys. Lett. B 610 (2005) 253. hep-ph/0501193
71. Mueller A.H., Shoshi A.I., and Wong S.M.H. Nucl. Phys. B 715 (2005) 440. hep-ph/0501088
72. Iancu E., Soyez G., and Triantafyllopoulos D.N. hep-ph/0510094
73. Kovner A., and Lublinsky M. hep-ph/0510047
74. Kovner A., and Lublinsky M. hep-ph/0503155
75. Kovner A., and Lublinsky M. Phys. Rev. Lett. 94 (2005) 181603. hep-ph/0502119
76. Kovner A., and Lublinsky M. JHEP 0503 (2005) 001. hep-ph/0502071
77. Kovner A., and Lublinsky M. Phys. Rev. D 71 (2005) 085004. hep-ph/0501198
78. Kovner A., and Lublinsky M. Odderon and seven pomerons: QCD reggeon field theory from JIMWLK evolution. hep-ph/0512316
79. Hatta Y., Iancu E., McLerran L., and Stasto A. Nucl. Phys. A 762 (2005) 272. hep-ph/0505235
80. Hatta Y., Iancu E., McLerran L., and Stasto A. hep-ph/0504182
81. Kamke E. Differentialgleichungen: Lsungsmethoden und Lsunge. Gewhänliche Differentialgleichungen vol. 1 (1983), Teubner Verlag, Stuttgart, Germany
82. Polyanin A.D. Handbook of Linear Differential Equations for Engineers and Scientists (2002), Chapman & Hall/CRC
83. Risken H. The Fokker-Planck Equation (1989), Springer-Verlag
84. Braun M.A. On the initial condition for evolution of the perturbative QCD pomeron in the nucleus. hep-ph/0503041
85. Gradstein I., and Ryzhik I. Tables of Series, Products, and Tables (1981), MIR, Moscow
86. Abramowitz M., and Stegun I. Handbook of Mathematical Function (1972), Dover, New York
87. Mueller A.H., and Salam G.P. Nucl. Phys. B 475 (1996) 293. hep-ph/9605302
88. Salam G.P. Nucl. Phys. B 461 (1996) 512
89. Boreskov K.G. Probabilistic model of reggeon field theory. hep-ph/0112325 and reference therein
90. Amati D., Le Bellac M., Marchesini G., and Ciafaloni M. Nucl. Phys. B 112 (1976) 107
91. Amati D., Marchesini G., Ciafaloni M., and Parisi G. Nucl. Phys. B 114 (1976) 483
92. Li L.-W., Kang X.-K., and Leong M.-S. Spheroidal Wave Functions in Electromagnetic Theory (2002), Jon Wiley & Son
93. Falloon P. Homepage of the spheroidal wave functions. http://www.physics.uwa.edu.au/falloon/spheroidal/spheroidal.html
94. M. Kozlov, E. Levin, A. Prygarin, in preparation
95. V. Khachatryan, E. Levin, in preparation
96. Kovchegov Y.V. Phys. Rev. D 72 (2005) 094009. hep-ph/0508276
97. Mueller A.H., and Shoshi A.I. Nucl. Phys. B 692 (2004) 175. hep-ph/0402193
98. Ferreiro E., Iancu E., Itakura K., and McLerran L. Nucl. Phys. A 710 (2002) 373. hep-ph/0206241
99. Levin E.M., and Ryskin M.G. Phys. Rep. 189 (1990) 267
100. Kancheli O.V. About the structure of the Froissart limit in QCD. hep-ph/0008299