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

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

2006-02-20

arxiv.org/abs/gr-qc/0602076v2

Class.Quant.Grav.23:3819-3832,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Some clarifications and references added

Scientific paper

10.1088/0264-9381/23/11/009

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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