Merged talks  An effective field theory for nonmaximal quantum chaos; 66 Effective description of submaximal chaos: stringy effects for SYK scrambling
APA
Gao, P. & Haehl, F. (2023). Merged talks  An effective field theory for nonmaximal quantum chaos; 66 Effective description of submaximal chaos: stringy effects for SYK scrambling. Perimeter Institute. https://pirsa.org/23080025
MLA
Gao, Ping, and Felix Haehl. Merged talks  An effective field theory for nonmaximal quantum chaos; 66 Effective description of submaximal chaos: stringy effects for SYK scrambling. Perimeter Institute, Aug. 03, 2023, https://pirsa.org/23080025
BibTex
@misc{ pirsa_PIRSA:23080025, doi = {10.48660/23080025}, url = {https://pirsa.org/23080025}, author = {Gao, Ping and Haehl, Felix}, keywords = {Quantum Fields and Strings, Quantum Information, Quantum Gravity}, language = {en}, title = {Merged talks  An effective field theory for nonmaximal quantum chaos; 66 Effective description of submaximal chaos: stringy effects for SYK scrambling}, publisher = {Perimeter Institute}, year = {2023}, month = {aug}, note = {PIRSA:23080025 see, \url{https://pirsa.org}} }

Massachusetts Institute of Technology

University of Southampton
Collection
Talk Type
Abstract
66  It has been proposed that the exponential decay and subsequent power law saturation of outoftimeorder correlation functions can be universally described by collective 'scramblon' modes. We develop this idea from a path integral perspective in several examples, thereby establishing a general formalism. After reformulating previous work on the Schwarzian theory and identity conformal blocks in twodimensional CFTs relevant for systems in the infinite coupling limit with maximal quantum Lyapunov exponent, we focus on theories with submaximal chaos: we study the largeq limit of the SYK quantum dot and chain, both of which are amenable to analytical treatment at finite coupling. In both cases we identify the relevant scramblon modes, derive their effective action, and find bilocal vertex functions, thus constructing an effective description of chaos. The final results can be matched in detail to stringy corrections to the gravitational eikonal Smatrix in holographic CFTs, including a stringy Regge trajectory, bulk to boundary propagators, and multistring effects that are unexplored holographically.