Holographic thermal propagator for arbitrary scale dimensions

Using the AdS/CFT correspondence we model the behaviour of the two-point correlator of an operator with arbitrary scale dimension increment 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 increment 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 increment , and present a conjecture for the order T-2d in the large increment limit.

Automated summary

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