Non-perturbative equivalences among large Nc gauge theories with adjoint and bifundamental matter fields
Non-perturbative equivalences among large Nc gauge theories with adjoint and bifundamental matter fields
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具有伴随和双基本物质场的大型数控规范理论之间的非微扰等价
DOI：
10.1088/1126-6708/2003/12/034
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发表时间：
2003
影响因子：
5.4
通讯作者：
L. Yaffe
中科院分区：
文献类型：
--
作者：
P. Kovtun;M. Unsal;L. Yaffe
在大N - c极限下，我们证明了含有伴随表示物质场的某些U（Nc）规范理论与其轨道投影之间的等价性。晶格正则化用于提供这些理论的非摄动定义；我们的证明适用于强耦合、大质量相的理论。通过构造和比较母理论及其轨道投影的环方程，证明了等效性。考虑了单迹可观测值期望值的回路方程，以及这类可观测值的连通相关器的回路方程；因此，所证明的非微扰等效性适用于弦张力和粒子谱的大Nc极限。
We prove an equivalence, in the large N c limit, between certain U(Nc) gauge theories containing adjoint representation matter fields and their orbifold projections. Lattice regularization is used to provide a non-perturbative definition of these theories; our proof applies in the strong coupling, large mass phase of the theories. Equivalence is demonstrated by constructing and comparing the loop equations for a parent theory and its orbifold projections. Loop equations for both expectation values of single-trace observables, and for connected correlators of such observables, are considered; hence the demonstrated non-perturbative equivalence applies to the large Nc limits of both string tensions and particle spectra.