降维与2+1维Yang-Mills真空态
Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
摘要：
我们提出了一个近似的基态的杨-米尔斯理论，量子化的时间规范和2+1维，它满足杨-米尔斯薛定谔方程在自由场极限，并在强场零模极限。我们的建议包含一个单一的参数与尺寸的质量;通过降维禁闭得到，如果这个参数是非零的，和一个非零值似乎是积极的首选。发展了一种数值模拟这种真空状态的方法。它表明，如果质量参数是固定的，从已知的弦张力在2+1维，由此产生的质量间隙推导出的真空状态同意，在百分之几，与已知的结果，通过标准的晶格蒙特卡罗方法获得的质量间隙。
英文摘要：
We propose an approximation to the ground state of Yang-Mills theory, quantized in temporal gauge and 2+1 dimensions, which satisfies the Yang-Mills Schrodinger equation in both the free-field limit, and in a strong-field zero mode limit. Our proposal contains a single parameter with dimensions of mass; confinement via dimensional reduction is obtained if this parameter is non-zero, and a non-zero value appears to be energetically preferred. A method for numerical simulation of this vacuum state is developed. It is shown that if the mass parameter is fixed from the known string tension in 2+1 dimensions, the resulting mass gap deduced from the vacuum state agrees, to within a few percent, with known results for the mass gap obtained by standard lattice Monte Carlo methods.
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