2004/10/31 by Yves Brihaye, D. H. Tchrakian, D H Tchrakian · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Causal sets #Cosmology and Gravitation Theories #Decoupling (probability) #Quantum Chromodynamics and Particle Interactions #Quantum field theory in curved spacetime #Space time #Spacetime #Spacetime topology #Spherically symmetric spacetime #Stationary spacetime #gr-qc #hep-th
paper · pdf · doi:10.1088/0305-4470/38/16/015
published as J.Phys. A38 (2005) 3679-3694 · 16 pages, 3 figures ; comments added, to appear in J. Phys. A
arxiv created 2005/03/24 · openalex publication_date 2005/04/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The classical solutions to higher dimensional Yang--Mills (YM) systems, which are integral parts of higher dimensional Einstein--YM (EYM) systems, are studied. These are the gravity decoupling limits of the fully gravitating EYM solutions. In odd spacetime dimensions, depending on the choice of gauge group, these are either topologically stable or unstable. Both cases are analysed, the latter numerically only. In even spacetime dimensions they are always unstable, describing saddle points of the energy, and can be described as \it sphalerons. This instability is analysed by constructing the noncontractible loops and calculating the Chern--Simons (CS) charges, and also perturbatively by numerically constructing the negative modes. This study is restricted to the simplest YM system in spacetime dimensions d=6,7,8, which is amply illustrative of the generic case.