Thermalization with chemical potentials, and higher spin black holes

Mandal, Gautam ; Sinha, Ritam ; Sorokhaibam, Nilakash (2015) Thermalization with chemical potentials, and higher spin black holes Journal of High Energy Physics, 2015 . Article ID 13. ISSN 1029-8479


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We study the long time behaviour of local observables following a quantum quench in 1+1 dimensional conformal field theories possessing additional conserved charges besides the energy. We show that the expectation value of an arbitrary string of local observables supported on a finite interval exponentially approaches an equilibrium value. The equilibrium is characterized by a temperature and chemical potentials defined in terms of the quenched state. For an infinite number of commuting conserved charges, the equilibrium ensemble is a generalized Gibbs ensemble (GGE). We compute the thermalization rate in a systematic perturbation in the chemical potentials, using a new technique to sum over an infinite number of Feynman diagrams. The above technique also allows us to compute relaxation times for thermal Green's functions in the presence of an arbitrary number of chemical potentials. In the context of a higher spin (hs[λ]) holography, the partition function of the final equilibrium GGE is known to agree with that of a higher spin black hole. The thermalization rate from the CFT computed in our paper agrees with the quasinormal frequency of a scalar field in this black hole.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
Keywords:Field Theories in Lower Dimensions; AdS-CFT Correspondence; Boundary Quantum Field Theory; Conformal Field Models in String Theory
ID Code:103512
Deposited On:26 Dec 2017 11:16
Last Modified:26 Dec 2017 11:16

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