Holographic thermal propagator for arbitrary scale dimensions

Abstract

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

23 pages, 4 figures, one important reference added, more comparison with known results, few typos corrected

References in corpus (3)

• Irregular Liouville correlators and connection formulae for Heun functions
• Exact thermal correlators of holographic $CFT$s
• An embedding formalism for CFTs in general states on curved backgrounds

Cited by in corpus (2)

• Resummation of Multi-Stress Tensors in Higher Dimensions
• Holographic thermal propagator from modularity