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arXiv 1609.05093hep-th
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Chern-Simons和Gribov复合体

Complex Chern-Simons and Gribov

M. M. Amaral, V. E. R. Lemes, O. S. Ventura, L. C. Q. Vilar

摘要:

我们探讨了两种不同的方法之间的接触点的禁闭问题。我们表明,BLG-ABJM一样的理论产生规范传播只是复杂的极点结构所规定的Gribov方案的约束。这种结构,在Gribov-Zwanziger理论中被称为i粒子,有效地允许定义复合算子,其两点函数具有正的Källén-Lehmann谱表示。然后,这些算子满足描述胶球凝聚的准则。我们计算(一阶)的贡献,在ABJM环境中的规范不变凝聚的两点函数,显示其作为一个物理粒子沿Källén-Lehmann的解释。与此同时,我们认为有必要吸收威滕的工作全纯复理论,以解决这种非微扰的情况下的物理解释。

英文摘要:

We explore a contact point between two distinct approaches to the confinment problem. We show that BLG-ABJM like theories generate gauge propagators with just the complex pole structure prescribed by the Gribov scenario for confinemnt. This structure, known as i-particles in Gribov-Zwanziger theories, effectively allows the definition of composite operators with a positive Källén-Lehmann spectral representation for their two-point functions . Then, these operators satisfy the criteria to describe glue-ball condensates. We calculate the (first order) contribution to the two-point function of the gauge invariant condensate in an ABJM environment, showing its interpretation as a physical particle along Källén-Lehmann. In the meantime, we argue for the necessity of absorbing Witten's work on holomorphic complex theories in order to settle the physical interpretation of this non-perturbative scenario.

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