Scrambling in Yang-Mills

Robert de Mello Koch, Eunice Gandote, Augustine Larweh Mahu

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

Acting on operators with a bare dimension ∆ ∼ N2 the dilatation operator of U(N) N = 4 super Yang-Mills theory defines a 2-local Hamiltonian acting on a graph. Degrees of freedom are associated with the vertices of the graph while edges correspond to terms in the Hamiltonian. The graph has p ∼ N vertices. Using this Hamiltonian, we study scrambling and equilibration in the large N Yang-Mills theory. We characterize the typical graph and thus the typical Hamiltonian. For the typical graph, the dynamics leads to scrambling in a time consistent with the fast scrambling conjecture. Further, the system exhibits a notion of equilibration with a relaxation time, at weak coupling, given by t ∼ ρλ with λ the ’t Hooft coupling.

Original languageEnglish
Article number58
JournalJournal of High Energy Physics
Volume2021
Issue number1
DOIs
Publication statusPublished - Jan 2021

Keywords

  • AdS-CFT Correspondence
  • Black Holes in String Theory
  • Gauge-gravity correspondence

Fingerprint

Dive into the research topics of 'Scrambling in Yang-Mills'. Together they form a unique fingerprint.

Cite this