论文标题
Jimwlk Evolution和S通道单位性
The JIMWLK evolution and the s-channel unitarity
论文作者
论文摘要
在\ cite {kll}中提出的进一步发展的思想，我们讨论了QCD reggeon田地理论（RFT），并通过基础QCD的单位性提出对其哈密顿式施加的限制。我们明确确定QCD RFT Hilbert空间，提供基本自由度（Wilson Lines及其双重）的代数和用于计算散射幅度的算法。我们通过QCD的单一性质制定了对RFT的“ Fock状态”的条件，并解释了这些约束如何作为对可能产生散射幅度能量演化的可能的RFT汉密尔顿人的单位性约束。我们研究了这些约束在RFT的密集稀释限制中实现的，其中适当的汉密尔顿人是Jimwlk Hamiltonian $ H_ {Jimwlk} $。我们发现，在稀弹性状态下的$ h_ {jimwlk} $是统一的，但是以密集的“目标”状态作用，它违反了单位性，并通过能量进化产生了具有负概率的状态。
Further developing ideas set forth in \cite{KLL}, 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.
