Scalar field instability in de Sitter space--time

DOI10.1016/J.NUCLPHYSB.2005.12.002zbMATH Open1192.81244arXivhep-th/0502197OpenAlexW1988044208MaRDI QIDQ877334

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Publication date: 20 April 2007

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Abstract: Starting from the equation of motion of the quantum operator of a real scalar field phi in de Sitter space-time, a simple differential equation is derived which describes the evolution of quantum fluctuations <phi^2> of this field. Full de Sitter invariance is assumed and no ad hoc infrared cutoff is introduced. This equation is solved explicitly and in massive case our result agrees with the standard one. In massless case the large time behavior of our solution differs by sign from the expression found in earlier papers. A possible cause of discrepancy may be a spontaneous breaking of de Sitter invariance.

Full work available at URL: https://arxiv.org/abs/hep-th/0502197

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