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arXiv 2103.16754hep-thcond-mat.str-el
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没有平均的虫洞

Wormholes without averaging

Phil Saad, Stephen H. Shenker, Douglas Stanford, Shunyu Yao

摘要:

在对费米子耦合进行平均后,SYK得到了一个集体场描述,有时具有“虫洞”解。我们研究当耦合固定后这些虫洞的命运。主要在一个简单的模型中工作,我们发现虫洞鞍持续存在,但是新的鞍也出现在积分空间的其他地方--“半虫洞”。“虫洞的贡献仅微弱地依赖于耦合的具体选择,而半虫洞的贡献是非常敏感的。半虫孔对于固定耦合的解耦系统的因子分解是至关重要的,但是它们在平均后消失,留下非因子分解虫孔。

英文摘要:

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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