夸克在次eikonal高能QCD中的Regge化

中文摘要 AI 辅助

我们发展了QCD中夸克Regge化的一个全面的Wilson线表述。从一个由半无限Wilson线和背景夸克插入构成的次eikonal算子出发，我们识别了一个用于Regge化夸克的插值算子，并利用背景场方法推导了其非线性快度演化。在稀薄区域，其正符号分量表现出由夸克Regge轨迹控制的Regge极点演化，而负符号扇区则显示夸克与胶子自由度之间的混合，这与其已知的Regge割结构一致。在平面极限下，这种混合被抑制，Regge化在没有显式符号投影的情况下出现，恢复了符号简并性。我们通过从一个描述胶子到夸克跃迁的更一般的Wilson线算子中提取相同的Regge化夸克算子，说明了该构造的普适性。此外，我们将该形式推广到有质量夸克，推导了一个坐标空间演化核，其傅里叶变换再现了有质量夸克的Regge轨迹。最后，从演化方程的前导算子混合结构和符号论证出发，我们表明Regge化夸克插值算子预期在直到次领头对数精度下仍是快度演化的本征态。

英文摘要

We develop a comprehensive Wilson-line formulation of quark Reggeization in QCD. Starting from a next-to-eikonal operator built from a semi-infinite Wilson line and a background-quark insertion, we identify an interpolating operator for the Reggeized quark and derive its nonlinear rapidity evolution using the background-field method. In the dilute regime, its positive-signature component exhibits Regge-pole evolution governed by the quark Regge trajectory, whereas the negative-signature sector displays mixing between quark and gluon degrees of freedom, in accordance with its known Regge-cut structure. In the planar limit, this mixing is suppressed, and Reggeization emerges without an explicit signature projection, recovering signature degeneracy. We illustrate the universality of the construction by extracting the same Reggeized-quark operator from a more general Wilson-line operator describing a gluon-to-quark transition. Furthermore, we extend the formalism to massive quarks, deriving a coordinate-space evolution kernel whose Fourier transform reproduces the massive-quark Regge trajectory. Finally, from the leading operator-mixing structure of the evolution equation and signature arguments, we show that the Reggeized-quark interpolating operator is expected to remain an eigenstate of the rapidity evolution up to next-to-leading logarithmic accuracy.

发表机构

• National Centre for Nuclear Research（国家核研究中心）

机构由 AI 辅助整理，请以论文原文为准。

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33 pages, 6 figures