Finite action Yang-Mills solutions on the group manifold

Dereli, T; Schray, J; Tucker, RW

doi:10.1088/0305-4470/29/16/021

Finite action Yang-Mills solutions on the group manifold

Dereli T., Schray J., Tucker R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.29, sa.16, ss.5001-5005, 1996 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 29 Sayı: 16
Basım Tarihi: 1996
Doi Numarası: 10.1088/0305-4470/29/16/021
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.5001-5005
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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).