AI 中文总结
该研究发展了经典胶子场的程函展开方法，明确弱场极限下的展开方式，指出强场中朴素程函展开的问题并提出修正方案，为高能 QCD 相关研究提供了理论基础。
AI 中文摘要
我们发展了胶子动力学中经典场的程函展开形式化方法。研究表明，在弱场极限下，该展开过程直接可行，可通过经典运动方程，由色流的程函分量确定矢量势的程函分量。我们证明，近期提出的玻恩-奥本海默高能演化可产生可通过经典场解释的基态波函数，相关经典场与程函展开一致，包含领头程函和次程函分量。对于强场，我们发现朴素的程函展开不一致，因为运动方程中的非线性项会导致程函阶数混合，次程函分量对领头程函分量的影响不会被程函性参数抑制。我们表明，通过经典“积分掉”胶子场的高纵向动量分量可修正该问题，这会为低动量分量生成具有弱自相互作用的经典作用量，但流会被强重整化，包含高动量模式的贡献。
英文摘要
We develop a formal procedure of eikonal expansion for classical fields in gluodynamics. We show that in the weak field limit the expansion is straightforward and determines the eikonal components of vector potentials in terms of eikonal components of color currents via classical equations motion. We demonstrate that the recently proposed Born-Oppenheimer high energy evolution yields the ground state wave function interpretable in terms of the classical fields. The relevant classical field is indeed consistent with the eikonal expansion, and contains the leading eikonal and subeikonal components. For strong fields we find that the naive eikonal expansion is inconsistent, as nonlilearities in equations of motion lead to mixing of eikonal orders. Thus the effect of subeikonal components on the leading eikonal component is not suppressed by the eikonality parameter. We show that this problem can be rectified by classically "integrating out" high longitudional momentum components of gluon fields. This leads to a classical action for the low momentum components with small self interaction, but strongly renorlamized currents, which contain contribution due to high momentum modes.
Comments41 pages
