Wormholes without averaging
High Energy Physics - Theory
2021-04-01 v1 Strongly Correlated Electrons
Abstract
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.
Keywords
Cite
@article{arxiv.2103.16754,
title = {Wormholes without averaging},
author = {Phil Saad and Stephen H. Shenker and Douglas Stanford and Shunyu Yao},
journal= {arXiv preprint arXiv:2103.16754},
year = {2021}
}
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34 pages