### Abstract

We construct the effective Hamiltonian which governs the renormalization group flow of the gluon distribution with increasing energy and in the leading logarithmic approximation. This Hamiltonian defines a two-dimensional field theory which involves two types of Wilson lines: longitudinal Wilson lines which describe gluon recombination (or merging) and temporal Wilson lines which account for gluon bremsstrahlung (or splitting). The Hamiltonian is self-dual, i.e., it is invariant under the exchange of the two types of Wilson lines. In the high density regime where one can neglect gluon number fluctuations, the general Hamiltonian reduces to that for the JIMWLK evolution. In the dilute regime where gluon recombination becomes unimportant, it reduces to the dual partner of the JIMWLK Hamiltonian, which describes bremsstrahlung.

Original language | English (US) |
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Pages (from-to) | 423-459 |

Number of pages | 37 |

Journal | Nuclear Physics A |

Volume | 764 |

Issue number | 1-4 |

DOIs | |

State | Published - Jan 9 2006 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics A*,

*764*(1-4), 423-459. https://doi.org/10.1016/j.nuclphysa.2005.09.006

}

*Nuclear Physics A*, vol. 764, no. 1-4, pp. 423-459. https://doi.org/10.1016/j.nuclphysa.2005.09.006

**Effective Hamiltonian for QCD evolution at high energy.** / Hatta, Y.; Iancu, E.; McLerran, L.; Staśto, A.; Triantafyllopoulos, D. N.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Effective Hamiltonian for QCD evolution at high energy

AU - Hatta, Y.

AU - Iancu, E.

AU - McLerran, L.

AU - Staśto, A.

AU - Triantafyllopoulos, D. N.

PY - 2006/1/9

Y1 - 2006/1/9

N2 - We construct the effective Hamiltonian which governs the renormalization group flow of the gluon distribution with increasing energy and in the leading logarithmic approximation. This Hamiltonian defines a two-dimensional field theory which involves two types of Wilson lines: longitudinal Wilson lines which describe gluon recombination (or merging) and temporal Wilson lines which account for gluon bremsstrahlung (or splitting). The Hamiltonian is self-dual, i.e., it is invariant under the exchange of the two types of Wilson lines. In the high density regime where one can neglect gluon number fluctuations, the general Hamiltonian reduces to that for the JIMWLK evolution. In the dilute regime where gluon recombination becomes unimportant, it reduces to the dual partner of the JIMWLK Hamiltonian, which describes bremsstrahlung.

AB - We construct the effective Hamiltonian which governs the renormalization group flow of the gluon distribution with increasing energy and in the leading logarithmic approximation. This Hamiltonian defines a two-dimensional field theory which involves two types of Wilson lines: longitudinal Wilson lines which describe gluon recombination (or merging) and temporal Wilson lines which account for gluon bremsstrahlung (or splitting). The Hamiltonian is self-dual, i.e., it is invariant under the exchange of the two types of Wilson lines. In the high density regime where one can neglect gluon number fluctuations, the general Hamiltonian reduces to that for the JIMWLK evolution. In the dilute regime where gluon recombination becomes unimportant, it reduces to the dual partner of the JIMWLK Hamiltonian, which describes bremsstrahlung.

UR - http://www.scopus.com/inward/record.url?scp=29744466256&partnerID=8YFLogxK

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U2 - 10.1016/j.nuclphysa.2005.09.006

DO - 10.1016/j.nuclphysa.2005.09.006

M3 - Article

AN - SCOPUS:29744466256

VL - 764

SP - 423

EP - 459

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1-4

ER -