Vacuum States and the S-Matrix in dS/CFT

Details Vacuum States and the S-Matrix in dS/CFT Vacuum States and the S-Matrix in dS/CFT

2001-12-22

arxiv.org/abs/hep-th/0112223v2

Phys.Rev. D65 (2002) 104037

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 figure (references and some clarifying footnotes added)

Scientific paper

10.1103/PhysRevD.65.104037

We propose a definition of dS/CFT correlation functions by equating them to S-matrix elements for scattering particles from I^- to I^+. In planar coordinates, which cover half of de Sitter space, we consider instead the S-vector obtained by specifying a fixed state on the horizon. We construct the one-parameter family of de Sitter invariant vacuum states for a massive scalar field in these coordinates, and show that the vacuum obtained by analytic continuation from the sphere has no particles on the past horizon. We use this formalism to provide evidence that the one-parameter family of vacua corresponds to marginal deformations of the CFT by computing a three-point function.

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