Monte-Carlo Study of Quark Confinement in QCD

（蒙特-卡罗模拟）1992：1）在格点SU（2）QCD中进行阿贝尔投影，利用真空组态和格点Schwinger-Dyson方程，确定了U（1）的有效作用量。2）类时和类空量子流之差是有限温度全SU（2）QCD的一个很好的序参量。1993：1）利用Swendsen方法，用量子流来确定有效U（1）作用量。我们发现在SU（2）QCD的禁闭阶段也可能发生量子凝聚。2）弦张力仅由量子贡献再现，库仑项仅由最大阿贝尔规范中阿贝尔投影后的光子产生。3）研究了禁闭真空，评估了Wilson环与量子流和另一Wilson环之间的关联。真空被认为是围绕1型和2型超（磁）导体之间的边界。（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组态的势。它是近似确定的源之间的弦的线性长度。1993年：我们评估了自旋和速度相关的重子势在最简单的配置的情况下。

(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.