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

被引：343

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

共 13 条

[1] Geometrical four-point functions in the two-dimensional critical Q-state Potts model: the interchiral conformal bootstrap
He, Yifei
Jacobsen, Jesper Lykke
Saleur, Hubert
JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (12)
[2] Exact Logarithmic Four-Point Functions in the Critical Two-Dimensional Ising Model
Gori, Giacomo
Viti, Jacopo
PHYSICAL REVIEW LETTERS, 2017, 119 (19)
[3] A differential equation for a four-point correlation function in Liouville field theory and elliptic four-point conformal blocks
Fateev, Vladimir A.
Litvinov, Alexey V.
Neveu, Andre
Onofri, Enrico
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (30)
[4] The four-point correlation function of the energy-momentum tensor in the free conformal field theory of a scalar field
Serino, Mirko
EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (07):
[5] Bootstrap approach to geometrical four-point functions in the two-dimensional critical Q-state Potts model: a study of the s-channel spectra
Jacobsen, Jesper Lykke
Saleur, Hubert
JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (01)
[6] The linear property of genus-g, n-point, b-boundary, c-crosscap correlation functions in two-dimensional conformal field theory
Liu, Xun
JOURNAL OF HIGH ENERGY PHYSICS, 2024, (09):
[7] Conformal four-point correlators of the three-dimensional Ising transition via the quantum fuzzy sphere
Han, Chao
Hu, Liangdong
Zhu, W.
He, Yin -Chen
PHYSICAL REVIEW B, 2023, 108 (23)
[8] Unified (p, q; α, γ, l)-deformation of oscillator algebra and two-dimensional conformal field theory
Burban, I. M.
PHYSICS LETTERS A, 2013, 377 (40) : 2863 - 2869
[9] Two-dimensional conformal field theories with matrix-valued level
Nassar, Ali
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (12)
[10] Effective field theory and integrability in two-dimensional Mott transition
Bottesi, Federico L.
Zemba, Guillermo R.
ANNALS OF PHYSICS, 2011, 326 (08) : 1916 - 1940

← 1 2 →