论文标题
在最大Abelian仪表中的Yang-Mills-Chern-Chern-Simons理论中的（de）限制的提示
Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
论文作者
论文摘要
在三个维度上对杨利尔理论的研究是一个有见识的操场，可以掌握四维情况的重要特征。此外，在三个维度中，可以以拓扑性质的质量参数引入Chern-Simons项。在连续体中量化这种理论需要固定量规，通常，该理论被Gribov Copies困扰。在这项工作中，在最大的Abelian仪表中量化了Yang-Mills-Chern-Chern-Simons理论，并考虑了无穷小的Gribov副本的存在。消除副本会修饰（Abelian）Gluon传播器，导致两个不同的阶段：其中所有极点都是复杂的，因此被解释为一个狭窄相，而另一个杆子则被解释为可以是物理光谱的一部分的激发。
The study of Yang-Mills theories in three dimensions is an insightful playground to grasp important features for the four-dimensional case. Additionally, in three dimensions, the Chern-Simons term can be introduced with a mass parameter of topological nature. Quantizing such a theory in the continuum demands a gauge fixing which, in general, is plagued by Gribov copies. In this work, Yang-Mills-Chern-Simons theories are quantized in the maximal Abelian gauge and the existence of infinitesimal Gribov copies is taken into account. The elimination of copies modifies the (Abelian) gluon propagator leading to two different phases: one in which all poles are complex and thus interpreted as a confining phase and another where an excitation which can be part of the physical spectrum is present.
