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arXiv 1306.2794hep-phhep-thnucl-th
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从KLWMIJ/JIMWLK演化的QCD Reggeon演算:顶点、Reggeization和All

QCD Reggeon Calculus From KLWMIJ/JIMWLK Evolution: Vertices, Reggeization and All

T. Altinoluk, C. Contreras, A. Kovner, E. Levin, M. Lublinsky, A. Shulkin

摘要:

我们明确地表明,如何产生的高能QCD演化的KLWMIJ哈密顿量可以铸造的形式QCD Reggeon场论。我们展示了如何减少KLWMIJ哈密顿物理颜色单自由度。我们在KLWMIJ演化的框架下提出了一种自然的方式来定义Pomeron和其他Reggeon,并导出了QCD Reggeon场论哈密顿量,它包含了几个最低的Reggeon算符。这个哈密顿量生成的稀密散射的情况下,所有Reggeons的演化方程,包括非线性Balitsky-Kovchegov方程的坡密子。我们还找到了Reggeon共轭算符的QCD算符的显式表达式,并导出了它们的演化方程。这为\cite{BW, BE}中引入的正则化过程提供了一个自然而明确的框架。Bartels三重Pomeron顶点直接继承自RFT Hamilton。为了简单起见,在大部分的文件,我们在大$N_c$限制。

英文摘要:

We show explicitly how the high energy QCD evolution generated by the KLWMIJ Hamiltonian can be cast in the form of the QCD Reggeon Field Theory. We show how to reduce the KLWMIJ Hamitonian to physical color singlet degrees of freedom. We suggest a natural way of defining the Pomeron and other Reggeons in the framework of the KLWMIJ evolution and derive the QCD Reggeon Field Theory Hamiltonian which includes several lowest Reggeon operators. This Hamiltonian generates evolution equations for all Reggeons in the case of dilute-dense scattering, including the nonlinear Balitsky-Kovchegov equation for the Pomeron. We also find explicit expressions for the Reggeon conjugate operators in terms of QCD operators, and derive their evolution equations. This provides a natural and unambiguous framework for reggeization procedure introduced in \cite{BW, BE}. The Bartels triple Pomeron vertex is inherited directly from the RFT Hamiltonian. For simplicity in the bulk of the paper we work in the large $N_c$ limit.

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