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<p>We study the entanglement entropy of a free massive scalar field at its ground state in (3 + 1)-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS. We determine the structure of the UV-divergent terms in the entanglement entropy and compute the numerical values of the respective coefficients. We confirm the connection between the coefficient of the logarithmic term and the conformal anomaly.</p>

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Entanglement entropy of a scalar field in anti-de Sitter space

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月12日

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  • K. Boutivas,
  • D. Katsinis,
  • I. Papadimitriou,
  • G. Pastras,
  • N. Tetradis

摘要

We study the entanglement entropy of a free massive scalar field at its ground state in (3 + 1)-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS. We determine the structure of the UV-divergent terms in the entanglement entropy and compute the numerical values of the respective coefficients. We confirm the connection between the coefficient of the logarithmic term and the conformal anomaly.