Holographic thermal propagator for arbitrary scale dimensions

Abstract

Abstract Using the AdS/CFT correspondence we model the behaviour of the two-point correlator of an operator with arbitrary scale dimension ∆ in arbitrary spacetime dimension d for small but non-zero temperature. The obtained propagator coincides in the low temperature regime with the known result for d = 4 for large ∆ at the order T d as well as with the T d and T 2d terms of the exact all order result for d = 2. Furthermore, for arbitrary d we explicitly write down the expression for the order T d of the propagator for arbitrary ∆, and present a conjecture for the order T 2d in the large ∆ limit.

Keywords

• AdS-CFT Correspondence
• Thermal Field Theory