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Article overview
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Yang--Mills Configurations from 3D Riemann--Cartan Geometry | E.W. Mielke
; Y.N. Obukhov
; F.W. Hehl
; | Date: |
21 Jul 1994 | Journal: | Phys.Lett. A192 (1994) 153-162 | Subject: | gr-qc hep-th | Abstract: | Recently, the {it spacelike} part of the $SU(2)$ Yang--Mills equations has been identified with geometrical objects of a three--dimensional space of constant Riemann--Cartan curvature. We give a concise derivation of this Ashtekar type (``inverse Kaluza--Klein") {it mapping} by employing a $(3+1)$--decomposition of {it Clifford algebra}--valued torsion and curvature two--forms. In the subcase of a mapping to purely axial 3D torsion, the corresponding Lagrangian consists of the translational and Lorentz {it Chern--Simons term} plus cosmological term and is therefore of purely topological origin. | Source: | arXiv, gr-qc/9407031 | Services: | Forum | Review | PDF | Favorites |
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