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arXiv 1208.6239hep-ph
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朗道规范胶子传播子的解析结构

Analytic structure of the Landau gauge gluon propagator

Stefan Strauss, Christian S. Fischer, Christian Kellermann

摘要:

非微扰胶子传播子的解析结构包含了理论物理谱中胶子不存在的信息。我们从朗道规范杨-米尔斯理论中胶子和鬼Dyson-Schwinger方程的复动量平面的数值解研究了这种结构。由此产生的鬼和胶子传播是解析的,除了一个独特的切割结构的真实,类时动量轴。传播子违反了Osterwalder-Schrader正性条件,证实了理论的渐近谱中不存在胶子。

英文摘要:

The analytic structure of the non-perturbative 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.

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