Monte-Carlo Study of Quark Confinement in QCD

（Monte-Carlo simulation）1992: 1)在晶格SU(2) QCD中进行Abelian投影。利用真空构型和晶格Schwinger-Dyson方程，我们得到了关于U(1)连杆场的固定有效U(1)作用。但是我们发现，当增大时，我们需要越来越多的项。2)类时和类空单极电流的差值是有限温度全SU的一个很好的序参数(2)QCD.1993: 1)用Swendsen的方法用单极电流紧凑地确定了有效U(1)作用。我们发现单极子凝聚也发生在SU(2) qcd的约束相中。2)弦张力仅由单极子贡献再现，而库仑项仅来自最大阿贝尔规范中阿贝尔投影后的光子。3)研究了约束真空，评估了威尔逊环与单极电流和另一个威尔逊环之间的相关性。真空在1型和2型超（磁）导体之间的边界周围可见。红外有效QCD的解析研究1992：将分析推广到静态重子的情况。我们得到了三个夸克的一般构型的势。它近似地由信号源之间的弦的线性长度决定。1993：我们在最简单的组态情况下计算了自旋和速度相关的重子势。

(Monte-Carlo simulations)1992 : 1 ) Abelian projection was performed in the lattice SU(2) QCD.Using vacuum configurations and lattice Schwinger-Dyson equations, we have fixed effective U(1) action in terms of U(1) link fields. But we found we need more and more terms when we go to larger beta.2)The difference of timelike and spacelike monopole currents is shown to be a good order parameter of finite-temperature full SU(2) QCD.1993 : 1) Efective U(1) action is determined compactly in terms of monopole currents using Swendsen's method. We found monopole condensation is shwon to happen also in the confinement phase of SU(2) QCD.2)The string tension is reproduced by monopole contribution alone and the Coulomb term is from photons alone after the abelian projection in the maximally abelian gauge.3)The confinement vacuum is studied evaluating correlations between a Wilson loop and monopole currents and another Wilson loop. The vacuum is seen to be around the border between type-1 and type-2 super (magnetic) conductor.(Analytic study of infrared effective QCD)1992 : The analysis is extended to the static baryon case. We got the potential for the general configuration of the three quarks. It is approximately determined by the linear length of the strings between the sources.1993 : We evaluated spin and velocity dependent baryon potential in the simplest configuration case.