超越大$N_c$极限的Reggeon场论
KLWMIJ Reggeon Field Theory beyond the large $N_c$ limit
摘要:
我们在$1/N_c$展开中扩展了对KLWMIJ演化的QCD Reggeon场的分析。我们证明了对\cite{last}中讨论的首阶哈密顿量只有一种修正。这些是在原始Reggeons和共轭Reggeon算子二次线性项。所有这些都被解释为“合并”类型$2\rightarrow 1$的顶点,其中两个Regeons合并为一个。重要的是,三重Pomeron合并顶点不出现从KLWMIJ哈密顿。我们表明,虽然在适用范围内的KLWMIJ哈密顿量这些合并项是subleading在$N_c$,在稠密的制度,他们都成为相同的(领先)的顺序在$N_c$。在这个制度顶点涉及更高Reggeons增强的耦合常数的逆功率。
英文摘要:
We extend the analysis of KLWMIJ evolution in terms of QCD Reggeon fields beyond leading order in the $1/N_c$ expansion. We show that there is only one type of corrections to the leading order Hamiltonian discussed in \cite{last}. These are terms linear in original Reggeons and quadratic in conjugate Reggeon operators. All of these have the interpretation as vertices of the "`merging"' type $2\rightarrow 1$, where two Reggeons merge into one. Importantly, the triple Pomeron merging vertex does not emerge from the KLWMIJ Hamiltonian. We show that, although in the range of applicability of the KLWMIJ Hamiltonian these merging terms are subleading in $N_c$, in the dense-dense regime they all become of the same (leading) order in $N_c$. In this regime vertices involving higher Reggeons are enhanced by inverse powers of the coupling constant.
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