Vortices in De Sitter Spacetimes

Details Vortices in De Sitter Spacetimes Vortices in De Sitter Spacetimes

2002-02-28

arxiv.org/abs/hep-th/0203003v3

Phys.Lett. B537 (2002) 329-339

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 8 figures, two figures changed, typos corrected, conclusions and two new figures added, version to appear in PLB

Scientific paper

10.1016/S0370-2693(02)01875-0

We investigate vortex solutions to the Abelian Higgs field equations in a four dimensional de Sitter spacetime background. We obtain both static and dynamic solutions with axial symmetry that are generalizations of the Nielsen-Olesen gauge vortices in flat spacetime. The static solution is located in the static patch of de Sitter space. We numerically solve the field equations in an inflationary (big bang) patch and find a time dependent vortex soution, whose effect to create a deficit angle in the spacetime. We show that this solution can be interpreted in terms of a renormalization group flow in accord with a generalized {$c$}-theorem, providing evidence in favour of a dS/CFT correspondence.

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