Quark and gluon propagators in quantum chromodynamics
Quark and gluon propagators in quantum chromodynamics
复制标题
量子色动力学中的夸克和胶子传播子
DOI：
10.1103/physrevd.21.471
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发表时间：
1980
影响因子：
5
通讯作者：
W. Zimmermann
中科院分区：
文献类型：
--
作者：
R. Oehme;W. Zimmermann
使用重正化群技术并结合洛伦兹不变性和谱条件得出的解析性质，在朗道规范中研究了无质量量子色动力学的夸克和胶子传播子。这些研究包括夸克和胶子的质量产生导致全局颜色对称性自发破坏的可能性。大动量传播器的显式渐近行为是沿着复切平面中的所有方向确定的。我们发现传播器不可能具有完整的功能，除非可能在红外稳定极限内。验证了无穷大分支切割的存在性。引入了投影传播器，其中省略了负范数状态的贡献。原始的以及投影的传播器满足未减的频谱表示。横向投影权重函数的正性条件导致对胶子场的异常尺寸的限制，这意味着味道数量的下限。
The quark and gluon propagators of massless quantum chromodynamics are studied in the Landau gauge using renormalization-group techniques in combination with the analytic properties which follow from Lorentz invariance and spectrum conditions. The investigations include the possibility of a spontaneous breakdown of global color symmetry with mass generation for quarks and gluons. The explicit asymptotic behavior of the propagators for large momenta is determined along all directions in the cut complex plane. It is found that the propagators cannot be entire functions except possibly in the infrared-stable limit. The existence of branch cuts drawn to infinity is verified. Projected propagators are introduced where contributions from negative-norm states are omitted. The original as well as the projected propagators satisfy unsubtracted spectral representations. The positivity condition of the transverse projected weight function leads to a restriction for the anomalous dimension of the gluon field, which implies a lower bound for the number of flavors.