论文标题
非扰动的Lee-Wick仪表理论：朝着牢固的耦合和统治
Non-perturbative Lee-Wick gauge theory: Towards Confinement and RGE with strong couplings
论文作者
论文摘要
我们考虑了一个非亚洲李 - 沃克理论，并讨论becchi-rouet-stora-tyutin（BRST）不变性。它包含四阶导数作为动力学项的扩展，导致量化理论中的巨大鬼魂。我们特别提供了使用Kugo-Ojima方法在强耦合方案中限制条件的基本线索，并在非扰动方案中获得$β-$的功能。这是使用雅各比椭圆函数的一组精确解决方案来实现的。我们获得了类似的$β-$功能，就像普通的杨米尔斯理论一样，但主要差异是，现在，截止时间自然来自李踢重的质量量表（M）。我们表明，鬼魂的命运是在这些政权中固定的：它们不再是红外（IR）限制的传播自由度。正如普通案例发生的那样，限制是由于该理论的非亚伯式性质造成的。在限制$ m \ rightarrow \ infty $中，一个人为当地的非亚洲阳米尔斯理论恢复了标准结果。
We consider a non-Abelian Lee--Wick gauge theory and discuss Becchi-Rouet-Stora-Tyutin (BRST) invariance. It contains fourth-order derivative as extensions of the kinetic term, leading to massive ghosts in the theory upon quantization. We particularly provide essential clues towards confinement conditions in strongly-coupled regimes, using the Kugo-Ojima approach, and obtain the $β-$functions in the non-perturbative regimes. This is achieved using a set of exact solutions of the corresponding local theory in terms of Jacobi elliptical functions. We obtain a similar $β-$function just as for the ordinary Yang-Mills theory but the main differences are that now, the cut-off arises naturally from the Lee-Wick heavy mass scales (M). We show that the fate of the ghosts is fixed in these regimes: they are no more the propagating degrees of freedom in the infrared (IR)-limit. As it also happens for the ordinary case, confinement is due to the non-Abelian nature of the theory. In the limit $M\rightarrow\infty $, one recovers the standard results for the local non-Abelian Yang-Mills theory.
