Finite action Yang-Mills solutions on the group manifold


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Dereli T., Schray J., Tucker R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.29, sa.16, ss.5001-5005, 1996 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Konu: 16
  • Basım Tarihi: 1996
  • Doi Numarası: 10.1088/0305-4470/29/16/021
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.5001-5005

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).