The spectral function in a strongly coupled, thermalising CFT

Abstract

In relation to the fluctuation-dissipation theorem, we discuss a time-dependent notion of spectral function and effective temperature. Extending recent results from arXiv:1212.6066, we work out these quantities in a two-dimensional thermalising CFT dual to AdS3-Vaidya spacetime which interpolates between a black brane geometry at early times and a higher temperature black brane at late times. The computation is carried out in the gravitational holographic dual in the geodesic approximation and using a non-standard analytic continuation.

14 pages, 4 figures, contribution to the proceedings of the 2012 Corfu Summer Institute and the XVIIIth European Workshop on String Theory

References in corpus (5)

• Thermalization of Strongly Coupled Field Theories
• Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories
• Thermalization of the spectral function in strongly coupled two dimensional conformal field theories
• The holographic spectral function in non-equilibrium states
• Holographic thermalization of mutual and tripartite information in 2d CFTs