论文标题

在杨米尔斯理论中的插值仪上重新归一化

Renormalization in an interpolating gauge in Yang-Mills theory

论文作者

Andra\V{s}i, A., Taylor, J. C.

论文摘要

QCD中的库仑量表是唯一明确的单一量规。但它遭受了能量差异,这意味着它的定义不太明确。明确定义它的一种方法是在Feynman仪表和库仑规之间插值的限制。该插值计的特征是参数theta,库仑量表以theta的极限趋向于0。我们研究了该theta-gauge对所有theta值的重新归一化。新颖的特征包括场混合和缩放,Theta参数本身的重新归一化以及以两环阶的新违反期结构的出现。

The Coulomb gauge in QCD is the only explicitly unitary gauge. But it suffers from energy-divergences which means that it is not rigorously well-defined. One way to define it unambiguously is as the limit of a gauge interpolating between the Feynman gauge and the Coulomb gauge. This interpolating gauge is characterized by a parameter theta and the Coulomb gauge is obtained in the limit theta tends to 0. We study the renormalization of this theta-gauge for all values of theta. Novel features include field mixing as well as scaling, the renormalization of the theta parameter itself, and the appearance of new counter-term structures at two-loop order.

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