Topological effects in continuum two-dimensional U(N) gauge theories
Topological effects in continuum two-dimensional
U(N)
gauge theories
复制标题
连续二维 U(N) 规范理论中的拓扑效应
DOI：
10.1103/physrevd.100.054502
复制
发表时间：
2019
影响因子：
5
通讯作者：
P. Rossi
中科院分区：
文献类型：
--
作者：
C. Bonati;P. Rossi
研究了紧流形上定义的二维U(N)规范理论的连续统极限的$\ θ $依赖性，重点研究了球面（$g=0$）和环面（$g=1$）拓扑。我们发现$U(1)$和$SU(N)$之间的耦合存在连续体极限，导致连续体拓扑磁化率与$U(1)$行为的可观察偏差，特别是对于$g=0$，在这种情况下，即使在较大的$N$极限下偏差仍然存在。
We study the $\theta$ dependence of the continuum limit of 2d $U(N)$ gauge theories defined on compact manifolds, with special emphasis on spherical ($g=0$) and toroidal ($g=1$) topologies. We find that the coupling between $U(1)$ and $SU(N)$ degrees of freedom survives the continuum limit, leading to observable deviations of the continuum topological susceptibility from the $U(1)$ behavior, especially for $g=0$, in which case deviations remain even in the large $N$ limit.