标题： 吴-曼德尔施塔姆-莱布兰特 prescription 下的二维量子色动力学 显示英文标题

标题： Two-Dimensional QCD in the Wu-Mandelstam-Leibbrandt Prescription

摘要： 我们找到了对于任意形状的简单Wilson环的精确非微扰表达式，适用于由Wu-Mandelstam-Leibbrandt规范处理正则化的U(N)和SU(N)欧几里得或闵可夫斯基二维杨-米尔斯理论。结果不同于标准的纯指数面积律的YM_2，但仍然表现出禁闭性以及面积保持微分同胚不变性和广义轴向规范变换不变性。我们证明了大N极限并不是有限N时模型的一个良好近似，并得出结论，Wu关于QCD_2的N=∞ Bethe-Salpeter方程不应该有束缚态解。我们的结果的主要意义源于Wu-Mandelstam-Leibbrandt规范处理在更高维微扰规范场论中的重要性。 显示英文摘要

摘要： We find the exact non-perturbative expression for a simple Wilson loop of arbitrary shape for U(N) and SU(N) Euclidean or Minkowskian two-dimensional Yang-Mills theory regulated by the Wu-Mandelstam-Leibbrandt gauge prescription. The result differs from the standard pure exponential area-law of YM_2, but still exhibits confinement as well as invariance under area-preserving diffeomorphisms and generalized axial gauge transformations. We show that the large N limit is NOT a good approximation to the model at finite N and conclude that Wu's N=infinity Bethe-Salpeter equation for QCD_2 should have no bound state solutions. The main significance of our results derives from the importance of the Wu-Mandelstam-Leibbrandt prescription in higher-dimensional perturbative gauge theory.