Berlin 2015 – scientific programme

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SYGP: Symposium Geometric Paradigms in Modern Physics

SYGP 1: Geometric paradigms in modern physics

SYGP 1.2: Invited Talk

Thursday, March 19, 2015, 15:30–16:00, H 0105

Gravitating Non-Abelian Fields: Solitons and Black Holes — •Jutta Kunz — University of Oldenburg

The Standard Model of Particle Physics involves non-Abelian fields describing the strong and electroweak interactions. The gauge and Higgs fields can form non-perturbative solutions in Minkowski spacetime. In the electroweak sector static finite energy solutions, sphalerons, are present, while no such solutions appear in the color sector. As soon as Einstein gravity is coupled, however, localized globally regular solutions appear. Moreover, hairy black hole solutions arise, i.e., black holes which are no longer uniquely determined by their global charges. Thus the black hole “no-hair” theorem of Einstein-Maxwell theory does not generalize to theories with non-Abelian fields. While all non-Abelian black holes obtained so far are axially symmetric, black holes with only discrete symmetries, e.g. platonic black holes, should exist as well. Moreover, multi-black hole solutions are expected to exist, where gravity and the non-Abelian forces should cancel, leading to balanced configurations.