Finite action Yang-Mills solutions on the group manifold

Dereli, Tekin and Schray, Jörg and Tucker, Robin (1996) Finite action Yang-Mills solutions on the group manifold. Journal of Physics A: Mathematical and General, 29 (16). pp. 5001-5005. ISSN 0305-4470

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Abstract

We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable solutions of the Yang-Mills equations to be constructed on the group manifold equipped with the natural Cartan - Killing metric. For the unitary unimodular groups the Yang-Mills action integral is finite for such solutions. This is explicitly exhibited for the case of SU(3).

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics A: Mathematical and General
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3109
Subjects:
?? PHYSICS AND ASTRONOMY(ALL)MATHEMATICAL PHYSICSSTATISTICAL AND NONLINEAR PHYSICS ??
ID Code:
75167
Deposited By:
Deposited On:
11 Aug 2015 11:07
Refereed?:
Yes
Published?:
Published
Last Modified:
21 Sep 2023 01:53