Massless scalar field in two-dimensional de Sitter universe

Details Massless scalar field in two-dimensional de Sitter universe Massless scalar field in two-dimensional de Sitter universe

2006-09-27

arxiv.org/abs/math-ph/0609080v1

Prog.Math.251:27-38,2007

Physics

Mathematical Physics

13 pages

Scientific paper

We study the massless minimally coupled scalar field on a two--dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zero--mass limit of the massive one. Insisting on gauge invariance of the model we construct a vacuum state and a Hilbert space of physical states which are invariant under the action of the whole de Sitter group. We also present the integral expression of the conserved charge which generates the gauge invariance and propose a definition of dual field.

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