Thermalization with chemical potentials, and higher spin black holes
Abstract
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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2015
 DOI:
 10.1007/JHEP08(2015)013
 arXiv:
 arXiv:1501.04580
 Bibcode:
 2015JHEP...08..013M
 Keywords:

 Field Theories in Lower Dimensions;
 AdSCFT Correspondence;
 Boundary Quantum Field Theory;
 Conformal Field Models in String Theory;
 High Energy Physics  Theory;
 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Lattice
 EPrint:
 22 pages (+ 8 pages of appendix &