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Wormholes without averaging

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arxiv 2103.16754 v1 pith:34FA4DKQ submitted 2021-03-31 hep-th cond-mat.str-el

Phil Saad , Stephen H. Shenker , Douglas Stanford , Shunyu Yao This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords couplingswormholeaveragingcontributionsfixedhalf-wormholessaddleswormholes
verification ladder T0 review T1 audit T2 compute T3 formal

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After averaging over fermion couplings, SYK has a collective field description that sometimes has "wormhole" solutions. We study the fate of these wormholes when the couplings are fixed. Working mainly in a simple model, we find that the wormhole saddles persist, but that new saddles also appear elsewhere in the integration space -- "half-wormholes." The wormhole contributions depend only weakly on the specific choice of couplings, while the half-wormhole contributions are strongly sensitive. The half-wormholes are crucial for factorization of decoupled systems with fixed couplings, but they vanish after averaging, leaving the non-factorizing wormhole behind.

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Cited by 12 Pith papers

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