Correspondence between Minkowski and de Sitter quantum field theory

摘要: In this letter we show that the “preferred” Klein–Gordon Quantum Field Theories (QFT’s) on a d-dimensional de Sitter spacetime can be obtained from Klein– Gordon QFT (d + 1)-dimensional “ambient” Minkowski satisfying spectral condition and, conversely, 1)dimensional as superposition of fields in preferred vacuum. These results establish correspondence between QFT’s living manifolds having different dimensions. The method exposed here applied to study other situations and notably Anti spacetime. relations dimensions has come recently general attention. Some most interesting intriguing developments string theory, like Maldacena’s ADS/CFT conjecture [1, 2] t’Hooft’s [3] Susskind’s [4] holographic principle, seem indicate kind are going play fundamental role understanding theory. point out relation exists one dimension less. We [5, 6] field squared mass λ arises by averaging well-defined sense an ordinary M ambient vice versa, superposing lower dimensional manifold.