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三圈水平下热QCD中的德拜屏蔽质量:被积函数的典范形式

Debye screening mass in hot QCD at three loops: Canonical form of the integrand

York Schröder, Miguel Váez

arXiv 2608.29844首次发表:更新:

AI 中文总结

本研究针对热QCD三圈水平下的德拜屏蔽质量,利用热被积函数典范形式的新进展,重新整理相关计算项,强调积分变量平移的作用,以简化未来高阶计算。

AI 中文摘要

德拜屏蔽质量是表征热夸克胶子等离子体中色电场屏蔽特性的基本参数,在热场理论中具有重要作用,其相关描述涉及屏蔽长度、输运现象、早期宇宙中的重粒子相互作用,以及将热QCD与有效三维理论关联的维数约化方案。在本研究中,我们重新审视了用于整理三圈水平下对屏蔽质量有贡献的大量项的约化策略,应用了基于热(求和)被积函数典范形式的最新进展;我们强调了积分变量平移的作用,并探讨了热被积函数的典范表示如何简化未来热QCD中的高阶计算。

英文摘要

The Debye screening mass is a fundamental parameter characterizing the screening of chromo-electric fields in a hot quark-gluon plasma. It plays an important role in thermal field theory, entering the description of screening lengths, transport phenomena, heavy-particle interactions in the early Universe, and the dimensional reduction program that connects thermal QCD to effective three-dimensional theories. In this contribution, we revisit the reduction strategy that serves to organize the large number of terms that contribute to the screening mass at the three-loop level, applying recent advances based on canonical forms of thermal (sum-) integrands. We emphasize the role of integration variable shifts, and discuss how canonical representations of thermal integrands may simplify future high-order calculations in hot QCD.

Comments10 pages, 2 figures, contribution to the conference proceedings of Loops and Legs 2026

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