Topological excitations in U(1) -invariant theories
Topological excitations in U(1) -invariant theories
复制标题
U(1) 不变理论中的拓扑激励
DOI：
10.1103/physrevlett.39.55
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发表时间：
1977
影响因子：
8.6
通讯作者：
R. Savit
中科院分区：
文献类型：
--
作者：
R. Savit
在格上引入一类 d 维 U(1) 不变理论。这些理论用单纯形数 s 标记，其中 1 < 或 = s < d。 s=1的情况为X-Y模型； s = 2 给出紧凑的光动力学。应用精确的对偶变换来表明，具有单纯形数 s 的 d 维中的 U(1) 不变理论与 d 维中的类似理论相同，但它是 Z /sub 无穷大/-不变的，并且具有单纯形数 s = d-s。这种对偶理论描述了原始理论的拓扑激发。这些激励的维度为 s - 1。
A class of U(1) -invariant theories in d dimensions is introduced on a lattice. These theories are labeled by a simplex number s, with 1 < or = s < d. The case with s = 1 is the X-Y model; and s = 2 gives compact photodynamics. An exact duality transformation is applied to show that the U(1) -invariant theory in d dimensions with simplex number s is the same as a similar theory in d dimensions but which is Z /sub infinity/-invariant and has simplex number s = d-s. This dual theory describes the topological excitations of the original theory. These excitations are of dimension s - 1.