publication . Article . Preprint . 2005

Remarks on high energy evolution

Michael Lublinsky; Alex Kovner;
Open Access
  • Published: 02 Mar 2005 Journal: Journal of High Energy Physics, volume 2,005, pages 1-1 (eissn: 1029-8479, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
Abstract
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.
Subjects
free text keywords: Nuclear and High Energy Physics, High Energy Physics - Phenomenology, Valence (chemistry), Quantum chromodynamics, Wave function, Hierarchy, Discrete dipole approximation, Projectile, Gluon, Deep inelastic scattering, Physics, Classical mechanics
Related Organizations
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.

[11] A. Mueller, Nucl. Phys. B335 115 (1990); ibid B 415 373 (1994); ibid B437 107 (1995).

[12] A.Kovner and U.A. Wiedemann, Phys. Rev. D64:114002,2001;

[13] A. Kovner, M. Lublinsky and U. Wiedemann, in preparation.

[14] E. Levin and M. Lublinsky, Phys. Lett. B 607 (2005) 131.

[15] A. Mueller, Phys. Lett. B523 (2001) 243.

20 references, page 1 of 2
Any information missing or wrong?Report an Issue