标题： Lattice U(1)规范理论的拉格朗日环表示 显示英文标题

标题： The Lagrangian Loop Representation of Lattice U(1) Gauge Theory

摘要： 它展示了如何将哈密顿量格点$loop$ $representation$ 直接转化为拉格朗日形式。 该过程是通用的，这里我们给出最简单的情况：纯紧致QED。 这种联系被基本环算符代数的非规范性质所掩盖。 这些环代表电通量管，可以视为在希格斯破缺相中支持的尼尔森-奥利森弦的对偶对象。 对应于维兰形式的格点环经典作用量与环世界片的二次面积成比例，因此类似于纳姆布弦作用量。 该环作用量用于蒙特卡罗模拟，并讨论了其吸引人的特性。 显示英文摘要

摘要： It is showed how the Hamiltonian lattice $loop$ $representation$ can be cast straightforwardly in the Lagrangian formalism. The procedure is general and here we present the simplest case: pure compact QED. This connection has been shaded by the non canonical character of the algebra of the fundamental loop operators. The loops represent tubes of electric flux and can be considered the dual objects to the Nielsen-Olesen strings supported by the Higgs broken phase. The lattice loop classical action corresponding to the Villain form is proportional to the quadratic area of the loop world sheets and thus it is similar to the Nambu string action. This loop action is used in a Monte Carlo simulation and its appealing features are discussed.