English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The partition function of 3-dimensional quantum gravity has been argued to be1-loop exact. Here, we verify the vanishing of higher-orders in perturbationtheory by explicit computation in the second-order, metric formulation at3-loops. The number of 1-particle irreducible Feynman diagrams involving bothgravitons and ghosts turns out to be 17. Using dimensional regularization, wesolve all the diagrams. At 2-loops, we find that all such diagrams vanishseparately after regularization. At 3-loops, in contrast, a series ofremarkable cancellations between different diagrams takes place, with 9diagrams beautifully conspiring to yield a vanishing result. Our techniques aresuitable to be applied to higher loops as well as to similar computations inhigher dimensions.

3d Quantum Gravity Partition Function at 3 Loops: a brute force computation