Remarks on High Energy Evolution

Preprint English OPEN
Kovner, Alex ; Lublinsky, Michael (2005)

We make several remarks on the B-JIMWLK hierarchy. First, we present a simple and instructive derivation of this equation by considering an arbitrary projectile wave function with small number of valence gluons. We also generalize the equation by including corrections which incorporate effects of high density in the projectile wave function. Second, we systematically derive the dipole model approximation to the hierarchy. We show that in the dipole approximation the hierarchy has a simplifying property that allows its solution by solving the classical equation followed by averaging over the ensemble of initial conditions.
  • References (20)
    20 references, page 1 of 2

    [1] I. Balitsky, Nucl. Phys. B463 99 (1996); Phys. Rev. Lett. 81 2024 (1998); Phys. Rev.D60 014020 (1999).

    [2] J. Jalilian Marian, A. Kovner, A.Leonidov and H. Weigert, Nucl. Phys.B504 415 (1997); Phys. Rev. D59 014014 (1999); Phys. Rev. D59 034007 (1999), Erratum-ibid.D59:099903,1999 ; J. Jalilian Marian, A. Kovner and H. Weigert, Phys. Rev.D59 014015 (1999); A. Kovner and J.G. Milhano, Phys. Rev. D61 014012 (2000) . A. Kovner, J.G. Milhano and H. Weigert, Phys.Rev. D62 114005 (2000); H. Weigert, Nucl.Phys. A 703 (2002) 823.

    [3] E.Iancu, A. Leonidov and L. McLerran, Nucl. Phys. A 692 (2001) 583; Phys. Lett. B 510 (2001) 133; E. Ferreiro, E. Iancu, A. Leonidov, L. McLerran; Nucl. Phys.A703 (2002) 489.

    [4] Y. Kovchegov, Phys. Rev.D60 034008 (1999).

    [5] Yu. Kovchegov, Phys. Rev. D 61 (2000) 074018; E. Levin and K. Tuchin, Nucl. Phys. B 573 (2000) 833; Nucl. Phys. A 691 (2001) 779; E. Iancu, K. Itakura and L. McLerran, Nucl. Phys. A 708 (2002) 327; A. Kovner and U.A. Wiedemann, Phys. Rev. D 66 (2002) 051502; S. Munier and R. Peschanski, Phys. Rev. D 69 (2004) 034008; Phys. Rev. Lett. 91 (2003) 232001; hep-ph/0401215.

    [6] M. Braun, Eur. Phys. J. C 16 (2000) 337; N. Armesto and M. Braun, Eur. Phys. J. C 20 (2001) 517; M. Lublinsky, E. Gotsman, E. Levin and U. Maor, Nucl. Phys. A 696 (2001) 851; M. Lublinsky,Eur. Phys. J. C 21 (2001) 513; E. Levin and M. Lublinsky, Nucl. Phys. A 712 (2002) 95; K. Golec-Biernat, L. Motyka, A. Stasto, Phys. Rev. D 65 (2002) 074037; E. Gotsman, E. Levin, M. Lublinsky and U. Maor, Eur. Phys. J C 27 (2003) 411; G. Chachamis, M. Lublinsky and A. Sabio-Vera, hep-ph/0408333; K. Golec-Biernat and A.M. Stasto, Nucl. Phys. B 668 (2003) 345; E. Gotsman, M. Kozlov, E. Levin, U. Maor, and E. Naftali, hep-ph/0401021; K. Kutak and A.M. Stasto, hep-ph/0408117; J. L. Albacete, N. Armesto, J. G. Milhano, C. A. Salgado and U. A. Wiedemann, hep-ph/0408216; J. Albacete et.al., Phys. Rev. Lett.92 (2004) 082001.

    [7] L. V. Gribov, E.M. Levin, M.G. Ryskin, Phys. Rep. 100 (1983) 1. M. Braun, Phys. Lett. B 483 (2000) 115; E. Iancu and D. N. Triantafyllopoulos,e-print arxive hep-ph/0411405; hep-ph/0501193; A. Mueller, A. Shoshi and S. Wong; e-print arxive hep-ph/0501088; E. Levin and M. Lublinsky; e-print arxive hep-ph/0501173.

    [8] A. Kovner and M. Lublinsky, e-print arxive hep-ph/0501198.

    [9] E. Iancu, A.H. Mueller, Nucl. Phys. A730 (2004) 460.

    [10] R. Janik, hep-ph/0409256.

  • Metrics
    No metrics available
Share - Bookmark