论文标题
有效QCD的紧凑空间和红外行为
Compact space and infrared behavior of the effective QCD
论文作者
论文摘要
我们的目的是通过将其定义在4个球体上的物理紧凑型空间中新的二次量规的有效理论中调查红外状态。阿贝尔的主导地位的特征是偏离肌获得动力学质量，并暗示存在监禁。我们确实观察到在4-Sphere的该理论的幽灵真空中，Abelian的主导地位。除了这一观察结果外，我们发现异常结果是，由于弯曲的几何形状，四个球体上的异对决gluon的质量取决于该理论的位置。这表明，4-Sphere的曲率并没有改变本理论对4个理论的红外行为，而在欧几里得时空中具有相同的二次二次计的理论的曲率也不改变欧几里得时空的相同二次计，而在Euclidean SpaceTime中也观察到了Abelian的优势，而在4-SPACETICE中也导致了4-Spheon的质量，以使4-Sphere属于4-Sphere的依赖性。在狭窄的阶段在4赛季的有效作用，并且在4迪姆欧几里得空间中被发现在深刻的结果中是相同的。
We aim to investigate the infrared regime in the effective theory of the new quadratic gauge in the physical compact space by defining it on 4-sphere. Abelian dominance is characterized by off-diagonal gluons acquiring dynamical masses and it hints at existence of confinement. We do observe Abelian dominance in the ghost condensed vacuum of this theory on 4-sphere. Along with this observation, we find an unusual result that mass of an off-diagonal gluon on 4-sphere is position dependent in this theory as a consequence of the curved geometry. This suggests that the curvature of 4-sphere does not change the infrared behaviour of present theory on 4-sphere from that of the theory with the same quadratic gauge in Euclidean spacetime as Abelian dominance is observed in Euclidean spacetime too while it has caused mass of an off-diagonal gluon on 4-sphere to be position dependent. The effective action in the confined phase on 4-sphere and that in the 4-dim Euclidean space are found to be identical in a profound outcome.
