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arXiv 1702.04437hep-phhep-thnucl-th
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夸克-胶子顶点：微扰论入门及以后

Quark-gluon Vertex: A Perturbation Theory Primer and Beyond

R. Bermudez, L. Albino, L. X. Gutiérrez-Guerrero, M. E. Tejeda-Yeomans, A. Bashir

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14 pages, 11 figures
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摘要：

越来越多的证据表明，夸克胶子顶点形状因子的红外增强在实现量子色动力学中手征对称性的动力学破缺中起着重要作用，从而导致了强子的光谱和性质的观测。晶格和Schwinger-Dyson团体都已经开始计算这些形状因子在各种运动学制度的动量参与。对这些研究的一个自然的一致性检查是，它们应该与紫外线中的微扰预测相匹配，在紫外线中，非微扰效应变得柔和。本文对夸克胶子顶点的所有形状因子的单圈结果进行了数值分析。有趣的是，即使是一个循环的结果定性编码的红外增强功能，预计其非微扰的对手。我们分析各种运动学配置的动量：对称，壳和渐近。壳层上极限使我们能够计算夸克的反常色磁矩。渐近结果对夸克传播子的乘性重整化及其与Landau-Khalatnikov-Fradkin变换的联系有意义，使我们能够分析和比较迄今提出的各种Ans $\ddot{a}$ tze.

英文摘要：

There has been growing evidence that the infrared enhancement of the form factors defining the full quark-gluon vertex plays an important role in realizing a dynamical breakdown of chiral symmetry in quantum chromodynamics, leading to the observed spectrum and properties of hadrons. Both the lattice and the Schwinger-Dyson communities have begun to calculate these form factors in various kinematical regimes of momenta involved. A natural consistency check for these studies is that they should match onto the perturbative predictions in the ultraviolet, where non-perturbative effects mellow down. In this article, we carry out a numerical analysis of the one-loop result for all the form factors of the quark-gluon vertex. Interestingly, even the one-loop results qualitatively encode most of the infrared enhancement features expected of their non-perturbative counter parts. We analyze various kinematical configurations of momenta: symmetric, on-shell and asymptotic. The on-shell limit enables us to compute anomalous chromomagnetic moment of quarks. The asymptotic results have implications for the multiplicative renormalizability of the quark propagator and its connection with the Landau-Khalatnikov-Fradkin transformations, allowing us to analyze and compare various Ans$\ddot{a}$tze proposed so far.

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