Nonperturbative dynamics of noncommutative gauge theory
Nonperturbative dynamics of noncommutative gauge theory
复制标题
非交换规范理论的非微扰动力学
DOI：
10.1016/s0370-2693(00)00391-9
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发表时间：
2000
影响因子：
4.4
通讯作者：
R. Szabo
中科院分区：
文献类型：
--
作者：
J. Ambjorn;Y. Makeenko;Jun Nishimura;R. Szabo
本文给出了任意偶数维非对易Yang-Mills理论的非微扰格点形式。我们表明，晶格正则化的非对易场论需要有限的晶格体积，自动提供紫外和红外截止。本文明确地证明了在扭曲边界条件下，L格点上p种基本物质场的交换U（p）规范理论与在单值场的p·L格点上n种物质场的非交换U（1）规范理论的Morita等价性.讨论了它与扭曲大N约化模型的关系，并构造了非对易物质规范理论中的观测量。
We present a nonperturbative lattice formulation of noncommutative Yang–Mills theories in arbitrary even dimension. We show that lattice regularization of a noncommutative field theory requires finite lattice volume which automatically provides both an ultraviolet and an infrared cutoff. We demonstrate explicitly Morita equivalence of commutative U(p) gauge theory with p·nfflavours of fundamental matter fields on a lattice of size L with twisted boundary conditions and noncommutative U(1) gauge theory with nfspecies of matter on a lattice of size p·L with single-valued fields. We discuss the relation with twisted large N reduced models and construct observables in noncommutative gauge theory with matter.