Invariance under complex transformations, and its relevance to the cosmological constant problem

Gerard 't Hooft; Stefan Nobbenhuis

Invariance under complex transformations, and its relevance to the cosmological constant problem

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arxiv gr-qc/0602076 v2 pith:RKHHTXZF submitted 2006-02-20 gr-qc hep-th

Gerard 't Hooft , Stefan Nobbenhuis This is my paper · ORCID

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keywords argumentcomplexconstantcosmologicalenergyproblemrelatedsitter

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In this paper we study a new symmetry argument that results in a vacuum state with strictly vanishing vacuum energy. This argument exploits the well-known feature that de Sitter and Anti- de Sitter space are related by analytic continuation. When we drop boundary and hermiticity conditions on quantum fields, we get as many negative as positive energy states, which are related by transformations to complex space. The paper does not directly solve the cosmological constant problem, but explores a new direction that appears worthwhile.

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