Scrambling in Yang-Mills
| Autor: | Robert de Mello Koch, Augustine Larweh Mahu, Eunice Gandote |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics 010308 nuclear & particles physics Dimension (graph theory) Degrees of freedom (physics and chemistry) FOS: Physical sciences AdS-CFT Correspondence Coupling (probability) 01 natural sciences Gauge-gravity correspondence Scrambling Combinatorics AdS/CFT correspondence symbols.namesake Operator (computer programming) High Energy Physics - Theory (hep-th) 0103 physical sciences Black Holes in String Theory symbols Graph (abstract data type) lcsh:QC770-798 lcsh:Nuclear and particle physics. Atomic energy. Radioactivity 010306 general physics Hamiltonian (quantum mechanics) |
| Zdroj: | Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-34 (2021) Journal of High Energy Physics |
| Popis: | Acting on operators with a bare dimension $\Delta\sim N^2$ the dilatation operator of $U(N)$ ${\cal N}=4$ 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 $p\sim N$ 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 $t\sim{p\over\lambda}$ with $\lambda$ the 't Hooft coupling. Comment: v2: Reference added |
| Databáze: | OpenAIRE |
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