Path integrals for causal diamonds and the covariant entropy principle

Tom Banks, Patrick Draper, Szilard Farkas

Research output: Contribution to journalArticlepeer-review


We study causal diamonds in Minkowski, Schwarzschild, (anti-)de Sitter, and Schwarzschild-de Sitter spacetimes using Euclidean methods. The null boundaries of causal diamonds are shown to map to isolated punctures in the Euclidean continuation of the parent manifold. Boundary terms around these punctures decrease the Euclidean action by A/4, where A is the area of the holographic screen around the diamond. We identify these boundary contributions with the maximal entropy of gravitational degrees of freedom associated with the diamond.

Original languageEnglish (US)
Article number106022
JournalPhysical Review D
Issue number10
StatePublished - May 21 2021
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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