Work

Chaos in classical D0-brane mechanics

Year: 2016

Type: article

Abstract: We study chaos in the classical limit of the matrix quantum mechanical system describing D0-brane dynamics. We determine a precise value of the largest Lyapunov exponent, and, with less precision, calculate the entire spectrum of Lyapunov exponents. We verify that these approach a smooth limit asN→ ∞. We show that a classical analog of scrambling occurs with fast scrambling scaling,t∗∼ logS. These results confirm thek-locality property of matrix mechanics discussed by Sekino and Susskind.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2016)091

Authors: Guy Gur-Ari, Masanori Hanada, Stephen H. Shenker

Institutions: Stanford University, Kyoto University, Yukawa Institute for Theoretical Physics, The Hakubi Center for Advanced Research, Kyoto University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, John Templeton Foundation, Ministry of Education, Culture, Sports, Science and Technology

Awards: G3497692280, Research in Theory of Elementary Particles and Cosmology