Spatiotemporal linear instability analysis for arbitrary dispersion relations on the Lefschetz thimble in multidimensional spacetime

Taiki Morinaga, Shoichi Yamada

研究成果: Article査読

3 被引用数 (Scopus)

抄録

In linear stability analysis of field quantities described by partial differential equations, the well-established classical theory is all but impossible to apply to concrete problems in its entirety even for uniform backgrounds when the spatial dimension is more than 1. In this study, using the Lefschetz thimble method, we develop a formalism to give an explicit expression to the asymptotic behavior of linear perturbations. It is not only more mathematically rigorous than the previous theory but also useful practically in its applications to realistic problems, and, as such, has an impact on broad subjects in physics.

本文言語English
論文番号013045
ジャーナルPhysical Review Research
2
1
DOI
出版ステータスPublished - 2020 1月

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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