TY - JOUR
T1 - Scrambling in Yang-Mills
AU - de Mello Koch, Robert
AU - Gandote, Eunice
AU - Mahu, Augustine Larweh
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/1
Y1 - 2021/1
N2 - 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.
AB - 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.
KW - AdS-CFT Correspondence
KW - Black Holes in String Theory
KW - Gauge-gravity correspondence
UR - http://www.scopus.com/inward/record.url?scp=85168640972&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2021)058
DO - 10.1007/JHEP01(2021)058
M3 - Article
AN - SCOPUS:85168640972
SN - 1029-8479
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 1
M1 - 58
ER -