Abstract
For self-consistency of the BFKL approach to the description of small-x processes a set of the “bootstrap” conditions must be fulfilled. The conditions appear from the requirement of compatibility of the gluon Reggeization with the s-channel unitarity. The set of these conditions in the next-to-leading approximation (NLA) is presented. It is argued that fulfillment of the whole set gives a possibility to prove the gluon Reggeization in the NLA.
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References
V.S. Fadin, E.A. Kuraev and L.N. Lipatov, Phys. Lett.B 60 (1975) 50; E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Zh. Eksp. Teor. Fiz. 71 (1976) 840 [Sov. Phys. JETP 44 (1976) 443]; 72 (1977) 377 [45 (1977) 199]; Ya.Ya. Balitskii and L.N. Lipatov, Sov. J. Nucl. Phys. 28 (1978) 822.
Ya.Ya. Balitskii, L.N. Lipatov and V.S. Fadin, in Proceedings of Leningrad Winter School on Physics of Elementary Particles, Leningrad1979109 (in Russian).
V.S. Fadin and L.N. Lipatov, Phys. Lett.B429 (1998) 127.
M. Ciafaloni and G. Camici, Phys. Lett.B430 (1998) 349.
V.S. Fadin and R. Fiore, Phys. Lett.B440 (1998) 359.
V.S. Fadin, R. Fiore and A. Papa, Phys. Rev.D60 (1999) 074025.
V.S. Fadin and D. A. Gorbachev, Pis’ma v Zh. Eksp. Teor. Fiz.71 (2000) 322[JETP Letters 71 (2000) 222]; Phys. Atom. Nucl. 63 (2000) 2157 [Yad. Fiz. 63 (2000) 2253].
V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, Phys. Rev.D61 (2000) 094005.
V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, Phys. Rev.D61 (2000) 094006.
V.S. Fadin and A.D. Martin, Phys. Rev.D60 (1999) 114008.
V. Fadin, D. Ivanov and M. Kotsky, In: New Trends in High-Energy PhysicsEd.L.L. JenkovszkyKiev2000, pp. 190–194, hep-ph/0007119.
J. Bartels, S. Gieseke and C.F. Qiao, Phys. Rev.D63 (2001) 056014.
V. Fadin, D. Ivanov, M. Kotsky, hep-ph/0106099.
J. Bartels, S. Gieseke, A. Kyrieleis, Phys. Rev.D65 (2000) 014006, hep-ph/0107152.
V. S. Fadin and L. N. Lipatov, Nucl. Phys. B406 (1993) 259.
V. S. Fadin and R. Fiore, Phys. Lett. B294 (1992) 286.
V. S. Fadin, R. Fiore and A. Quartarolo, Phys. Rev. D50 (1994) 2265.
V. S. Fadin, M. I. Kotsky and R. Fiore, Phys. Lett. B359 (1995) 181.
V.S. Fadin, Zh. Eksp. Teor. Fiz. Pis’ma61 (1995) 342; V.S. Fadin, R. Fiore, A. Quartarolo, Phys. Rev. D53 (1996) 2729; M.I. Kotsky and V.S. Fadin, Yad. Fiz. 59 (6) (1996) 1; V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett. B359 (1995) 181.
V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett.B387 (1996) 593.
J. Blumlein, V. Ravindran and W.L. van Neerven, Phys. Rev.D58 (1998) 091502.
V. Del Duca and E.W.N. Glover, JHEP0110 (2001) 035, hep-ph/0109028.
J. Bartels, Nucl. Phys.B 175 (1980) 365.
V. S. Fadin, R. Fiore and A. Quartarolo, Phys. Rev. D50 (1994) 5893.
V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett.B389 (1996) 737.
V. Del Duca and C. R. Schmidt, Phys. Rev.D 59 (1999) 074004.
V.S. Fadin, R. Fiore and A. Papa, Phys. Rev.D63 (2001) 034001, hep-ph/0008006.
L.N. Lipatov, V.S. Fadin, Zh. Eksp. Teor. Fiz. Pis’ma49 (1989) 311[Sov. Phys. JETP Lett. 49 (1989) 352]; Yad. Fiz. 50, (1989) 1141 [Sov. J. Nucl. Phys. 50 (1989) 712].
V.S. Fadin and L.N. Lipatov, Nucl. Phys.B477 (1996) 767.
V. S. Fadin, R. Fiore, A. Flachi and M. I. Kotsky, Phys. Lett. B422 (1998) 287 [arXiv:hep-ph/9711427]; V. S. Fadin, M. I. Kotsky, R. Fiore and A. Flachi, Phys. Atom. Nucl. 62 (1999) 999 [Yad. Fiz. 62 (1999) 1066].
V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett.B494 (2000) 100.
V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, Phys. Lett.B495 (2000) 329.
M. Braun, hep-ph/9901447.
M. Braun and G.P. Vacca, Phys. Lett.B447 (2000) 156.
M. Braun and G.P. Vacca, Phys. Lett.B454 (1999) 319.
V. S. Fadin and A. Papa, Nucl. Phys. B640 (2002) 309.
V.S Fadin, M.G. Kozlov and A.V. Reznichenko, to be published.
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Fadin, V.S. (2003). Justification of the BFKL Approach in the NLA. In: Fiore, R., Jenkovszky, L.L., Kotsky, M.I., Magas, V.K., Papa, A. (eds) DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory. NATO Science Series, vol 101. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0177-9_22
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DOI: https://doi.org/10.1007/978-94-010-0177-9_22
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