General boundary quantum field theory in de Sitter spacetime

Abstract

We quantize a massive scalar field in de Sitter spacetime and derive the S-matrix for the general interacting theory. Using the general boundary formulation of quantum field theory, we also propose a new type of S-matrix derived from the asymptotic limit of the amplitude associated with a spacetime region bounded by one connected and timelike hypersurface. Based on previous works in Minkowski spacetime, we call this region the hypercylinder region. We show how the new S- matrix coincides with the usual one by constructing an isomorphism between the space of temporal asymptotic states of the traditional setting and the space of spatial asymptotic states defined on the asymptotic hypercylinder.

28 pages, LaTeX + revtex4

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• The vacuum as a Lagrangian subspace
• Classical Klein-Gordon solutions, symplectic structures and isometry actions on AdS spacetimes
• Complex structures for an S-matrix of Klein-Gordon theory on AdS spacetimes
• The S-matrix in Schrödinger Representation for Curved Spacetimes in General Boundary Quantum Field Theory
• The Unruh-deWitt Detector and the Vacuum in the General Boundary formalism