Effective action for Regge processes in QCD and in gravity. (English. Russian original) Zbl 1274.81230
Theor. Math. Phys. 169, No. 1, 1370-1379 (2011); translation from Teor. Mat. Fiz. 169, No. 1, 9-19 (2011).
Summary: We consider the Gribov approach to hadron-hadron high-energy scattering, which is based on an effective field theory for the Pomeron interactions. Because the gluons and gravitons in QCD and in gravity are Reggeized, it seems natural to reformulate these theories at high energies in terms of Reggeons. We review the basic ideas of the BFKL approach in QCD and in supersymmetric models and present it in the form of a gauge-invariant effective theory for the Reggeized gluon interactions. We formulate the analogous generally covariant action for the Reggeized gravitons in terms of effective currents satisfying the Hamilton-Jacobi equation.
MSC:
81V05 | Strong interaction, including quantum chromodynamics |
81U05 | \(2\)-body potential quantum scattering theory |
83C45 | Quantization of the gravitational field |
Keywords:
scattering amplitude; Regge asymptotic behavior; BFKL equation; effective field theory; quantum gravityReferences:
[1] | B. I. Ioffe, V. S. Fadin, and L. N. Lipatov, Quantum Chromodynamics: Perturbative and Nonperturbative Aspects (Cambridge Monogr. Part. Phys. Nucl. Phys. Cosmol., Vol. 30), Cambridge Univ. Press, Cambridge (2010). · Zbl 1192.81006 |
[2] | V. N. Gribov, Sov. Phys. JETP, 14, 478 (1962). |
[3] | S. Mandelstam, Nuovo Cimento, 30, 1148–1162 (1963). · doi:10.1007/BF02828822 |
[4] | V. N. Gribov, I. Ya. Pomeranchuk, and K. A. Ter-Martirosyan, Phys. Rev. B, 139, 184–202 (1965). · doi:10.1103/PhysRev.139.B184 |
[5] | V. N. Gribov, Sov. Phys. JETP, 26, 414–422 (1968). |
[6] | L. N. Lipatov, Sov. J. Nucl. Phys., 23, 338 (1976); V. S. Fadin, E. A. Kuraev, and L. N. Lipatov, Phys. Lett. B, 60, 50–52 (1975); E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Sov. Phys. JETP, 44, 443 (1976). |
[7] | L. N. Lipatov, Phys. Lett. B, 309, 394–396 (1993). · doi:10.1016/0370-2693(93)90951-D |
[8] | L. N. Lipatov, Sov. Phys. JETP, 63, 904–912 (1986). |
[9] | L. N. Lipatov, JETP Lett., 59, 596–599 (1994); arXiv:hep-th/9311037v1 (1993). |
[10] | L. N. Lipatov, Nucl. Phys. B, 548, 328–362 (1999); arXiv:hep-ph/9812336v3 (1998). · doi:10.1016/S0550-3213(99)00133-9 |
[11] | V. S. Fadin and L. N. Lipatov, Phys. Lett. B, 429, 127–134 (1998); M. Ciafaloni and G. Camici, Phys. Lett. B, 430, 349–354 (1998); arXiv:hep-ph/9803389v1 (1998). · doi:10.1016/S0370-2693(98)00473-0 |
[12] | A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B, 582, 19–43 (2000); arXiv:hep-ph/0004008v2 (2000). · doi:10.1016/S0550-3213(00)00329-1 |
[13] | A. V. Kotikov and L. N. Lipatov, Nucl. Phys. B, 661, 19–61 (2003); Erratum, 685, 405–407 (2004); arXiv:hepph/0208220v3 (2002). · Zbl 1040.81062 · doi:10.1016/S0550-3213(03)00264-5 |
[14] | A. V. Kotikov, L. N. Lipatov, A. I. Onishchenko, and V. N. Velizhanin, Phys. Lett. B, 595, 521–529 (2004); Erratum, 632, 754–756 (2006); arXiv:hep-th/0404092v5 (2004). · Zbl 1247.81486 · doi:10.1016/j.physletb.2004.05.078 |
[15] | J. M. Maldacena, Adv. Theor. Math. Phys., 2, 231–252 (1998). |
[16] | S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B, 428, 105–114 (1998); arXiv:hep-th/9802109v2 (1998). · Zbl 1355.81126 · doi:10.1016/S0370-2693(98)00377-3 |
[17] | E. Witten, Adv. Theor. Math. Phys., 2, 253–291 (1998). |
[18] | L. N. Lipatov, Nucl. Phys. B, 452, 369–397 (1995); arXiv:hep-ph/9502308v2 (1995); Phys. Rep., 286, 131–198 (1997); arXiv:hep-ph/9610276v1 (1996). · doi:10.1016/0550-3213(95)00390-E |
[19] | E. N. Antonov, I. O. Cherednikov, E. A. Kuraev, and L. N. Lipatov, Nucl. Phys. B, 721, 111–135 (2005); arXiv:hep-ph/0411185v3 (2004). · Zbl 1128.81314 · doi:10.1016/j.nuclphysb.2005.05.013 |
[20] | Z. Bern, L. J. Dixon, and V. A. Smirnov, Phys. Rev. D, 72, 085001 (2005); arXiv:hep-th/0505205v3 (2005). · doi:10.1103/PhysRevD.72.085001 |
[21] | J. Bartels, L. N. Lipatov, and A. Sabio Vera, Phys. Rev. D, 80, 045002 (2009); arXiv:0802.2065v5 [hep-th] (2008). · doi:10.1103/PhysRevD.80.045002 |
[22] | J. Bartels, L. N. Lipatov, and A. Sabio Vera, Eur. Phys. J. C, 65, 587–605 (2010); arXiv:0807.0894v2 [hep-th] (2008). · doi:10.1140/epjc/s10052-009-1218-5 |
[23] | L. N. Lipatov, ”Analytic properties of high energy production amplitudes in N = 4 SUSY,” arXiv:1008.1015v3 [hep-th] (2010). |
[24] | L. N. Lipatov and A. Prygarin, Phys. Rev. D, 83, 125001 (2011); arXiv:1011.2673v1 [hep-th] (2010). · doi:10.1103/PhysRevD.83.125001 |
[25] | L. N. Lipatov, J. Phys. A, 42, 304020 (2009). · Zbl 1176.81062 · doi:10.1088/1751-8113/42/30/304020 |
[26] | L. N. Lipatov, JETP, 55, 582–590 (1982). |
[27] | L. N. Lipatov, Phys. Lett. B, 116, 411–413 (1982). · doi:10.1016/0370-2693(82)90156-3 |
[28] | L. N. Lipatov, Nucl. Phys. B, 365, 614–632 (1991). · doi:10.1016/0550-3213(91)90512-V |
[29] | V. A. Fock, The Theory of Space, Time, and Gravitation, Pergamon, London (1969). · Zbl 0085.42301 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.