Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, Heinrich-Buff-Ring 16, D-35392 Gießen, Germany.
Phys Rev Lett. 2012 Dec 21;109(25):252001. doi: 10.1103/PhysRevLett.109.252001. Epub 2012 Dec 19.
The analytic structure of the nonperturbative gluon propagator contains information on the absence of gluons from the physical spectrum of the theory. We study this structure from numerical solutions in the complex momentum plane of the gluon and ghost Dyson-Schwinger equations in Landau gauge Yang-Mills theory. The resulting ghost and gluon propagators are analytic apart from a distinct cut structure on the real, timelike momentum axis. The propagator violates the Osterwalder-Schrader positivity condition, confirming the absence of gluons from the asymptotic spectrum of the theory.
非微扰胶子传播子的解析结构包含了理论物理谱中胶子缺失的信息。我们从朗道规范杨-米尔斯理论中胶子和鬼狄拉克-施温格方程的复动量平面数值解研究这个结构。得到的鬼和胶子传播子除了在实的、类时动量轴上有明显的切割结构外，都是解析的。传播子违反了奥斯特瓦尔德-施莱德正定性条件，证实了理论的渐近谱中没有胶子。
