Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model

Understand

The Einstein-Proca action is known to have asymptotically locally Lifshitz spacetimes as classical solutions.

• For dynamical exponent z=2, two-point correlation functions for fluctuations around such a geometry are derived analytically.
• It is found that the retarded correlators are stable in the sense that all quasinormal modes are situated in the lower half-plane of complex frequencies.
• Correlators in the longitudinal channel exhibit features that are reminiscent of a structure usually obtained in field theories that are logarithmic, i.e.