Analytic Coleman-De Luccia Geometries
Xi Dong, Daniel Harlow
TL;DR
This paper establishes the precise conditions under which Euclidean scale factors solve Coleman-De Luccia equations for analytic potentials, providing explicit examples of such geometries with potential applications in vacuum decay scenarios.
Contribution
It derives necessary and sufficient conditions for Euclidean scale factors to solve Coleman-De Luccia equations with analytic potentials and presents explicit closed-form solutions.
Findings
Derived explicit conditions for Euclidean scale factors
Provided concrete analytic examples of Coleman-De Luccia geometries
Enhanced understanding of vacuum decay geometries
Abstract
We present the necessary and sufficient conditions for a Euclidean scale factor to be a solution of the Coleman-De Luccia equations for some analytic potential , with a Lorentzian continuation describing the growth of a bubble of lower-energy vacuum surrounded by higher-energy vacuum. We then give a set of explicit examples that satisfy the conditions and thus are closed-form analytic examples of Coleman-De Luccia geometries.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematics and Applications