SYK correlators for all energies
SYK correlators for all energies
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适用于所有能量的 SYK 相关器
DOI：
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发表时间：
2019
影响因子：
5.4
通讯作者：
Alexandre Streicher
中科院分区：
文献类型：
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作者：
Alexandre Streicher
Sachdev-Ye-Kitaev(SYK)模型，一个具有Q体相互作用的N Majorana费米子理论(又名。Q-局域)，成为大Q极限下的共形破缺的Liouville场论。接受这一限制保留了模型的许多有趣的性质，但使理论作为一个整体更容易处理。相应地，我们给出了任意温度下两点和四点相关器的新表达式，并发现它们具有普遍的封闭形式，这是令人惊讶的结果。我们注意到，这些表达式正确地匹配到先前获得的低能量结果和简单的高能微扰检查之间，并在它们之间插入。我们发现，时间有序的四点相关器总是由有限的温度来决定恒等式和哈密顿量，而无序的四点相关器仍然是非平凡的，总是扰乱的。这只是在保角极限中建立的，所以发现它在所有温度/耦合下都适用于大Q是一个不平凡的结果。最后，我们确定了系统的热化率和扰动率，并发现无论温度如何，它们总是一致的。这增加了越来越多的证据表明，在Q-局域系统的动力学中存在简单的潜在结构，例如由SYK的流行病算子增长形成的结构。
The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with q-body interactions (a.k.a. q-local), becomes in the large q limit a conformally-broken Liouville field theory. Taking this limit preserves many interesting properties of the model, yet makes the theory as a whole much more tractable. Accordingly, we produce novel expressions for the two and four-point correlators at arbitrary temperature and find the surprising result they take a universal closed form. We note that these expressions correctly match onto and interpolate between previously-obtained low-energy results and simple high-energy perturbative checks. We find that the time-ordered four-point correlators are always determined by finite temperature OPEs into the identity and Hamiltonian, while the out-of-time-order four-point correlators remain nontrivial and always scramble. This has only been established in the conformal limit, so to find that it holds for large q at all temperatures/couplings is a nontrivial result. Finally, we determine the system’s thermalization and scrambling rates and find that they always agree, regardless of temperature. This adds to the increasing body of evidence that there exists simple underlying structures in the dynamics of q-local systems, such as those formed by SYK’s epidemic operator growth.
影响因子：
5.4
作者：
Henry W. Lin;L. Susskind
通讯作者：
Henry W. Lin;L. Susskind
DOI：
10.3389/fphy.2020.00262
发表时间：
2019-04
期刊：
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影响因子：
--
作者：
L. Susskind
通讯作者：
L. Susskind
影响因子：
5
作者：
Brown, Adam R.;Gharibyan, Hrant;Zhao, Ying
通讯作者：
Zhao, Ying