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Fuzzy Euclidean wormholes in anti-de Sitter space

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Title
Fuzzy Euclidean wormholes in anti-de Sitter space
Author(s)
Subeom Kang; Dong-Han Yeom
Publication Date
2018-06
Journal
PHYSICAL REVIEW D, v.97, no.12, pp.124031 - 12
Publisher
AMER PHYSICAL SOC
Abstract
This paper is devoted to an investigation of Euclidean wormholes made by fuzzy instantons. We investigate the Euclidean path integral in anti-de Sitter space. In Einstein gravity, we introduce a scalar field with a potential. Because of the analyticity, there is a contribution of complex-valued instantons, so-called fuzzy instantons. If we have a massless scalar field, then we obtain Euclidean wormholes, where the probabilities become smaller and smaller as the size of the throat becomes larger and larger. If we introduce a nontrivial potential, then, in order to obtain a nonzero tunneling rate, we need to tune the shape of the potential. With the O(4) symmetry, after the analytic continuation to the Lorentzian time, the wormhole throat should expand to infinity. However, by adding mass, one may obtain an instant wormhole that should eventually collapse to the event horizon. The existence of Euclidean wormholes is related to the stability or unitarity issues of anti-de Sitter space. We are not conclusive yet, but we carefully comment on these physical problems. © 2018 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/6190
ISSN
2470-0010
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
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