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On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges

机译:关于Ghost-antighost中Gluons和Ghosts的红外行为   对称仪表

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摘要

To investigate the possibility of a ghost-antighost condensate the coupledDyson--Schwinger equations for the gluon and ghost propagators in Yang--Millstheories are derived in general covariant gauges, including ghost-antighostsymmetric gauges. The infrared behaviour of these two-point functions isstudied in a bare-vertex truncation scheme which has proven to be successful inLandau gauge. In all linear covariant gauges the same infrared behaviour as inLandau gauge is found: The gluon propagator is infrared suppressed whereas theghost propagator is infrared enhanced. This infrared singular behaviourprovides indication against a ghost-antighost condensate. In theghost-antighost symmetric gauges we find that the infrared behaviour of thegluon and ghost propagators cannot be determined when replacing all dressedvertices by bare ones. The question of a BRST invariant dimension twocondensate remains to be further studied.
机译:为了研究重影-鬼怪凝聚的可能性,杨-密思理论中胶子和重影传播子的Dyson-Schwinger耦合方程是在一般的协变量规中得出的,包括重影-鬼怪对称规矩。在裸顶截断方案中研究了这两点函数的红外行为,该方案在兰道规中被证明是成功的。在所有线性协变量测量仪中,都发现了与兰道测量仪相同的红外行为:胶子传播子受到红外抑制,而重影传播子受到红外增强。这种红外奇异的行为提供了针对鬼影-鬼怪冷凝物的指示。在幽灵-反幽灵对称测量仪中,我们发现当用裸毛替换所有梳理的顶点时,胶子和幻影传播者的红外行为无法确定。 BRST不变维数的两个凝结水的问题有待进一步研究。

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