Dynamics of Wilson observables in non-commutative gauge theory

被引：14

作者：

Abou-Zeid, M ^{[1
]}

Dorn, H ^{[1
]}

机构：

[1] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany

来源：

PHYSICS LETTERS B | 2001年 / 504卷 / 1-2期

关键词：

D O I：

10.1016/S0370-2693(01)00270-2

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

An equation for the quantum average of the gauge invariant Wilson loop in non-commutative Yang-Mills theory with gauge group U(N) is obtained. In the 't Hooft limit, the equation reduces to the loop equation of ordinary Yang-Mills theory. At finite N, the equation involves the quantum averages of the additional gauge invariant observables of the non-commutative theory associated with open contours in space-time. We also derive equations for correlators of several gauge invariant (open or closed) Wilson lines. Finally, we discuss a perturbative check of our results. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：165 / 173

页数：9

共 23 条

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