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The JIMWLK evolution and the s-channel unitarity

机译:Jimwlk演变和S渠道统一性

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A bstract Further developing ideas set forth in [ 1 ], we discuss QCD Reggeon Field Theory (RFT) and formulate restrictions imposed on its Hamiltonian by the unitarity of underlying QCD. We identify explicitly the QCD RFT Hilbert space, provide algebra of the basic degrees of freedom (Wilson lines and their duals) and the algorithm for calculating the scattering amplitudes. We formulate conditions imposed on the “Fock states” of RFT by unitary nature of QCD, and explain how these constraints appear as unitarity constraints on possible RFT hamiltonians that generate energy evolution of scattering amplitudes. We study the realization of these constraints in the dense-dilute limit of RFT where the appropriate Hamiltonian is the JIMWLK Hamiltonian H _(JIMWLK). We find that the action H _(JIMWLK)on the dilute projectile states is unitary, but acting on dense “target” states it violates unitarity and generates states with negative probabilities through energy evolution.
机译:一种在[1]中提出的Bstract进一步发展的想法,我们讨论了QCD Reggeon Field理论(RFT),并通过潜在QCD的统一性制定对其Hamiltonian施加的限制。 我们明确地确定了QCD RFT希尔伯特空间,提供了基本自由度(Wilson线条及其双重)的代数以及用于计算散射幅度的算法。 我们通过QCD的单一性质制定对RFT的“北斗状态”的条件,并解释这些约束如何在可能的RFT Hamiltonians上作为统一限制,从而产生散射幅度的能量演变。 我们研究了在RFT的密集稀释极限中实现了这些限制,其中适当的Hamiltonian是Jimwlk Hamiltonian H _(Jimwlk)。 我们发现稀释射弹态的动作H _(Jimwlk)是统一的,但在密集的“目标”上表现出来,它违反了统一性,并通过能量演变来产生具有负概率的国家。

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