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Abstract <p>We investigate excited states generated by local operator quenches in maximally symmetric spacetimes of constant curvature. Our analysis covers anti-de Sitter (AdS), BTZ black holes, and de Sitter (dS) backgrounds. Employing Green’s function techniques, we construct exact analytic expressions for one-point functions of massive scalar fields and study their real-time evolution. The comparison across different geometries reveals how horizon and cosmological expansion leave distinct imprints on quench dynamics. This framework provides a unified setting to explore nonequilibrium processes relevant to holography, black hole physics, and early-universe cosmology.</p>

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Excited States in Spaces of Constant Curvature

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • D. S. Ageev,
  • V. A. Bykov

摘要

Abstract

We investigate excited states generated by local operator quenches in maximally symmetric spacetimes of constant curvature. Our analysis covers anti-de Sitter (AdS), BTZ black holes, and de Sitter (dS) backgrounds. Employing Green’s function techniques, we construct exact analytic expressions for one-point functions of massive scalar fields and study their real-time evolution. The comparison across different geometries reveals how horizon and cosmological expansion leave distinct imprints on quench dynamics. This framework provides a unified setting to explore nonequilibrium processes relevant to holography, black hole physics, and early-universe cosmology.