Quantization of a Scalar Field in Two Poincaré Patches of Anti-de Sitter Space and AdS/CFT

Ippei Fujisawa, Ryuichi Nakayama

Two sets of modes of a massive free scalar field are quantized in a pair of Poincaré patches of Lorentzian anti-de Sitter (AdS) space, AdS${}_{d+1}$ ($d\ge 2$). It is shown that in…