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

Taiki Morinaga, Shoichi Yamada

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number013045
JournalPhysical Review Research
Volume2
Issue number1
DOIs
Publication statusPublished - 2020 Jan

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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