Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-11-10
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, LaTeX + revtex4
Scientific paper
We use the general boundary formulation (GBF) of quantum field theory to compute the S-matrix for a general interacting scalar field in curved spacetime. This S-matrix is obtained as the asymptotic limit of the GBF-amplitude associated with a finite spacetime region. Two types of regions are of interest here. The first type is bounded by the disjoint union of two (non-compact) hypersurfaces. For the special choice of Cauchy hypersurfaces, the asymptotic GBF-amplitude reduces to the standard S-matrix. The second type of region is enclosed by one connected and timelike boundary, called the hypercylinder region. As a by-product we obtain the general expression of the Feynman propagator for the field defined in both regions. Our work generalizes previous results obtained in Minkowski and de Sitter spacetimes to (a wide class of) curved spacetimes.
Colosi Daniele
Dohse Max
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