Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory

被引：344

作者：

Roberts, Daniel A. ^{[1
,2
]}

Stanford, Douglas ^{[3
]}

机构：

[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[2] MIT, Dept Phys, Cambridge, MA 02139 USA

[3] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

来源：

PHYSICAL REVIEW LETTERS | 2015年 / 115卷 / 13期

关键词：

WAVE; SYMMETRY;

D O I：

10.1103/PhysRevLett.115.131603

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study chaotic dynamics in two-dimensional conformal field theory through out-of-time-order thermal correlators of the form < W(t)W(t)V >. We reproduce holographic calculations similar to those of Shenker and Stanford, by studying the large c Virasoro identity conformal block. The contribution of this block to the above correlation function begins to decrease exponentially after a delay of similar to t(*) - (beta/2 pi) log beta(EwEv)-E-2, where t(*) is the fast scrambling time (beta/2 pi) log c and E-w, E-v are the energy scales of the W, V operators.

引用

页数：6

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