Exact four point function for large q SYK from Regge theory
Exact four point function for large q SYK from Regge theory
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Regge 理论中大 q SYK 的精确四点函数
DOI：
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发表时间：
2019
影响因子：
5.4
通讯作者：
G'abor S'arosi
中科院分区：
文献类型：
--
作者：
Changha Choi;M. Mezei;G'abor S'arosi
出于理解远离最大混沌的量子系统的目的，本文导出了大q SYK模型的费米子四点函数在任意温度下的一个简单的封闭形式的表达式，该表达式在1/N中为首阶。结果捕获的大温度，弱耦合政权，和低温，近共形，最大混沌政权的模型。推导过程中的索默-沃森remation的无穷级数，重铸的四个点的功能作为一个总和的三个雷奇极点。这些极点的位置决定了当温度降低时在零和最大值之间插值的李雅普诺夫指数。我们的结果与Streicher [1]用另一种方法得到的结果完全一致。
Motivated by the goal of understanding quantum systems away from maximal chaos, in this note we derive a simple closed form expression for the fermion four point function of the large q SYK model valid at arbitrary temperatures and to leading order in 1/N. The result captures both the large temperature, weakly coupled regime, and the low temperature, nearly conformal, maximally chaotic regime of the model. The derivation proceeds by the Sommerfeld-Watson resummation of an infinite series that recasts the four point function as a sum of three Regge poles. The location of these poles determines the Lyapunov exponent that interpolates between zero and the maximal value as the temperature is decreased. Our results are in complete agreement with the ones by Streicher [1] obtained using a different method.
影响因子：
5.4
作者：
Mike Blake;R. Davison;S. Grozdanov;Hong Liu
通讯作者：
Mike Blake;R. Davison;S. Grozdanov;Hong Liu
多体量子、半经典和经典混沌中速度相关的李雅普诺夫指数
影响因子：
3.7
作者：
Khemani V
通讯作者：
Khemani V