Derivation of the two Schwarzians effective action for the Sachdev–Ye-Kitaev spectral form factor

Derivation of the two Schwarzians effective action for the Sachdev–Ye-Kitaev spectral form factor
复制标题

Sachdev-Ye-Kitaev 光谱形状因子的两个 Schwarzian 有效作用的推导

DOI:
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发表时间:
2019
期刊:
The European Physical Journal C
影响因子:
--
通讯作者:
M. Cardella
M. Cardella
中科院分区:
--
文献类型:
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作者:
M. Cardella

文献摘要

参考文献

被引文献

相似文献

Sachdev-Ye-Kitaev模型的频谱形状因子表现出不存在信息损失,其形式为随机矩阵理论中典型的斜坡和平台。在一个大N集合场的描述中,Saad等人(A semi-classical ramp in SYK and in gravity,arXiv:1806.06840)通过复制对称破缺鞍形重现了这个斜坡。我们推导出一个双方Schwarzians有效行动的斜坡临界鞍附近的波动,通过计算的两个副本动力学内核的涂抹版本的响应。我们的结果证实了文献[1]中的结论,即作用的形式是由数值证据支持的间接论据推测出来的。
The Sachdev–Ye-Kitaev model spectral form factor exhibits absence of information loss, in the form of a ramp and a plateau that are typical in random matrix theory. In a large N collective fields description, the ramp was reproduced by Saad et al. (A semiclassical ramp in SYK and in gravity, arXiv:1806.06840) by replica symmetry breaking saddles. We derive a two sides Schwarzians effective action for fluctuations around the ramp critical saddles, by computing responses to a smeared version of the two replica kinetic kernel. Our result confirms [1], where the form of the action was heuristically guessed by indirect arguments supported by numerical evidences.
DOI: 10.1007/jhep05(2019)198
发表时间: 2019
影响因子: 5.4
作者:
Kitaev, Alexei;Suh, S. Josephine
通讯作者: Suh, S. Josephine
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DOI: 10.1080/15287394.2020.1842826
发表时间: 2021-02-16
期刊: Journal of toxicology and environmental health. Part A
影响因子: --
作者:
Fletcher P;Hamilton RF Jr;Rhoderick JF;Pestka JJ;Holian A
通讯作者: Holian A