Sensitivity of holographic ${\cal N}=4$ SYM plasma hydrodynamics to finite coupling corrections

Autor: Buchel, Alex
Rok vydání: 2018
Předmět:
Zdroj: Phys. Rev. D 98, 061901 (2018)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevD.98.061901
Popis: Gauge theory/string theory holographic correspondence for ${\cal N}=4$ supersymmetric Yang-Mills theory is well under control in the planar limit, and for large (infinitely large) 't Hooft coupling, $\lambda\to \infty$. Certain aspects of the correspondence can be extended including ${\cal O}(\lambda^{-3/2})$ corrections. There are no reliable first principle computations of the ${\cal N}=4$ plasma non-equilibrium properties beyond the stated order. We show extreme sensitivity of the non-hydrodynamic spectra of holographic ${\cal N}=4$ SYM plasma to ${\cal O}(\lambda^{-3})$ corrections, challenging any conclusions reached from 'resummation' of ${\cal O}(\lambda^{-3/2})$ corrections.
Comment: 10 pages, 2 figures; v2: PRD version (rapid communications)
Databáze: arXiv