费米子Glauber算符与夸克正则化
Fermionic Glauber Operators and Quark Reggeization
摘要：
在软共线有效场论（SCET）框架下，我们导出了一个描述Regge极限下Glauber夸克的$t$ -通道交换的拉格朗日量。格劳伯夸克不是动力学的，而是通过非定域的费米子势算符结合的。相对于描述Glauber胶子交换的算符，这些算符在$|t|/s$中被幂抑制，但在Regge极限中对$q\bar q \to gg$和$q\bar q \to γγ$等过程给出了第一个非零贡献。因此，他们代表了一个有趣的子集功率校正研究。运营商的结构，它描述了某些软和共线排放的所有订单，通过威尔逊线，来自有效理论的对称性结合功率和质量维数计数的约束，以及通过明确的匹配计算。利用快度调节器调节费米子势中的光锥奇异性，其相应的重整化群演化在振幅水平上产生夸克的Regge化，在截面水平上产生BFKL方程.我们验证了这一点，在一个循环，推导Regge轨迹的夸克在$3$颜色通道，以及领先的对数BFKL方程。在$\bar 6$和$15$色通道中的结果是通过同时交换一个Glauber夸克和一个Glauber胶子得到的。因此，SCET与夸克和胶子Glauber算子提供了一个框架，系统地研究的结构QCD振幅在Regge极限，并推导出对高阶振幅的限制。
英文摘要：
We derive, in the framework of soft-collinear effective field theory (SCET), a Lagrangian describing the $t$-channel exchange of Glauber quarks in the Regge limit. The Glauber quarks are not dynamical, but are incorporated through non-local fermionic potential operators. These operators are power suppressed in $|t|/s$ relative to those describing Glauber gluon exchange, but give the first non-vanishing contributions in the Regge limit to processes such as $q\bar q \to gg$ and $q\bar q \to γγ$. They therefore represent an interesting subset of power corrections to study. The structure of the operators, which describe certain soft and collinear emissions to all orders through Wilson lines, is derived from the symmetries of the effective theory combined with constraints from power and mass dimension counting, as well as through explicit matching calculations. Lightcone singularities in the fermionic potentials are regulated using a rapidity regulator, whose corresponding renormalization group evolution gives rise to the Reggeization of the quark at the amplitude level and the BFKL equation at the cross section level. We verify this at one-loop, deriving the Regge trajectory of the quark in the $3$ color channel, as well as the leading logarithmic BFKL equation. Results in the $\bar 6$ and $15$ color channels are obtained by the simultaneous exchange of a Glauber quark and a Glauber gluon. SCET with quark and gluon Glauber operators therefore provides a framework to systematically study the structure of QCD amplitudes in the Regge limit, and derive constraints on higher order amplitudes.
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