A note on alpha-vacua and interacting field theory in de Sitter space

Details A note on alpha-vacua and interacting field theory in de Sitter space A note on alpha-vacua and interacting field theory in de Sitter space

2003-02-07

arxiv.org/abs/hep-th/0302050v4

Nucl.Phys. B669 (2003) 325-340

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 2 figures, latex. v4 some clarifications, some typos fixed

Scientific paper

10.1016/j.nuclphysb.2003.07.014

We set up a consistent renormalizable perturbation theory of a scalar field in a nontrivial alpha vacuum in de Sitter space. Although one representation of the effective action involves non-local interactions between anti-podal points, we show the theory leads to causal physics, and we prove a spectral theorem for the interacting two-point function. We construct the renormalized stress energy tensor and show this develops no imaginary part at leading order in the interactions, consistent with stability.

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