Analytic structure of QCD propagators in Minkowski space
Analytic structure of QCD propagators in Minkowski space
复制标题
Minkowski 空间中 QCD 传播子的解析结构
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
F. Siringo
中科院分区：
文献类型：
--
作者：
F. Siringo
通过在红外线深处的朗道规范中进行单圈质量展开，导出了包括一组手征夸克在内的QCD传播子的解析函数。通过解析延拓，在Minkowski空间中研究了谱函数，从第一性原理出发直接证明了正性破坏和禁闭，并将手征对称性的动力学破缺与胶子质量产生联系起来，给出了统一的描述.在处理精确的拉格朗日量时，该展开是基于大质量自由粒子传播子的，在红外是安全的，在紫外是等效的标准微扰理论。通过量纲正则化，所有发散的质量项都精确地抵消了，而不包括会破坏拉格朗日量的规范对称性和手征对称性的质量反项。普遍的标度特性预测的逆敷料功能，并显示满足的晶格数据。复共轭极被发现的胶子传播子，与i粒子的情况。
Analytical functions for the propagators of QCD, including a set of chiral quarks, are derived by a one-loop massive expansion in the Landau gauge, deep in the infrared. By analytic continuation, the spectral functions are studied in Minkowski space, yielding a direct proof of positivity violation and confinement from first principles.The dynamical breaking of chiral symmetry is described on the same footing of gluon mass generation, providing a unified picture. While dealing with the exact Lagrangian, the expansion is based on massive free-particle propagators, is safe in the infrared and is equivalent to the standard perturbation theory in the UV. By dimensional regularization, all diverging mass terms cancel exactly without including mass counterterms that would spoil the gauge and chiral symmetry of the Lagrangian. Universal scaling properties are predicted for the inverse dressing functions and shown to be satisfied by the lattice data. Complex conjugated poles are found for the gluon propagator, in agreement with the i-particle scenario.