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Global solutions of the Klein-Gordon equation under the quartic potential are considered in the de Sitter spacetime. The existence of global solutions for small rough initial data is considered based on the mechanism of the spontaneous symmetry breaking for the small positive Hubble constant. Some effects of the spatial expansion on the problem on particles with purely imaginary mass are considered based on the results by the author (Nakamura, J. Math. Phys. 62, 121509 (2021)).

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Global Solutions of the Klein-Gordon Equation Under the Quartic Potential in the de Sitter Spacetime

  • 会议论文

  • 发表日期：

    2025年

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  • Makoto Nakamura

摘要

Global solutions of the Klein-Gordon equation under the quartic potential are considered in the de Sitter spacetime. The existence of global solutions for small rough initial data is considered based on the mechanism of the spontaneous symmetry breaking for the small positive Hubble constant. Some effects of the spatial expansion on the problem on particles with purely imaginary mass are considered based on the results by the author (Nakamura, J. Math. Phys. 62, 121509 (2021)).