On the zero modes of the Faddeev-Popov operator in the Landau gauge

被引：3
|
作者：
Landim, R. R. [1 ,2 ]
Vilar, L. C. Q. [1 ]
Ventura, O. S. [3 ]
Lemes, V. E. R. [1 ]
机构：
[1] Univ Estado Rio de Janeiro, Inst Fis, BR-20550013 Rio De Janeiro, Brazil
[2] Univ Fed Ceara, Dept Fis, BR-60455760 Fortaleza, Ceara, Brazil
[3] Ctr Fed Educacao Tecnol Rio de Janeiro, BR-20271110 Rio De Janeiro, Brazil
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2014年 / 55卷 / 02期
关键词：
YANG-MILLS THEORIES; GRIBOV AMBIGUITY; ABELIAN GAUGE; HORIZON; COULOMB; COPIES;
D O I：
10.1063/1.4865424
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Following Henyey procedure [Phys. Rev. D 20, 1460 (1979)], we construct examples of zeromodes of the Faddeev-Popov operator in the Landau gauge in Euclidean space in D dimensions, for both SU(2) and SU(3) groups. We obtain gauge field configurations A(mu)(a) which give rise to a field strength, F-mu nu(a) = partial derivative(mu)A(nu)(a) - partial derivative(nu)A(mu)(a) + f(abc) A(mu)(b) A(nu)(c), whose nonlinear term, f(abc) A(mu)(b) A(nu)(c), turns out to be non-vanishing. To our knowledge, this is the first time where such a non-abelian configuration is explicitly obtained in the case of SU(3) in 4D. (C) 2014 AIP Publishing LLC.
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页数：11
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