ANALYTICAL STUDY OF COLOR CONFINEMENT MECHANISM

(1)基于tHooft的思想，即阿贝尔投影，构造了夸克约束的Ginzburg-Landau型理论。这个理论给出了静态色源之间的线性势。(2)证明了只有阿贝尔单极凝聚假设才能给出动态夸克和静态夸克的约束。(3)数值求解红外有效理论的经典运动方程，发现SU(3) QCD的真空位于1型和2型对偶超导体边界附近。(4)为了验证阿贝尔分量是否真的在夸克约束中起主导作用，我们在晶格QCD中进行了Monte-Carlo模拟，并对阿贝尔投影后的阿贝尔威尔逊环进行了评估。当做U(1)协变的阿贝尔投影时，在规范固定后，阿贝尔威尔逊环显著增强。阿贝尔弦张力与全弦张力完全一致。另一方面，这种行为在单一的量规固定中是不存在的。

(1)Based on the idea of 'tHooft, i.e., abelian projection, we have constructed Ginzburg-Landau type theory of quark confinement. This theory gives linear potential between static color sources.(2)It is proved that only the assumption of abelian monopole condensation can give confinement of dynamical as well as static quarks.(3)Solving classical equations of motion of the infrared effective theory numerically, we have found that the vacuum of SU(3) QCD is near the boundary between type-1 and type-2 dual superconductor.(4)To check if abelian component really plays the dominant role in quark confinement, we have done Monte-Carlo simulation in lattice QCD and evaluated abelian Wilson loops after abelian projection. When the abelian projection is done U(1) covariantly, the abelian Wilson loops drastically enhance after the gauge fixing. The abelian string tension coincides exactly with the full string tension. On the other hand, such a behavior can not be found in the unitary gauge-fixing.