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On the way to constructing a full dynamics for CST, lies the phenomenologically interesting regime of quantum field theory (QFT) on an ensemble of continuumlikeContinuumlike causal set causal sets. The kinematicalKinematics of CST  discreteness of causal sets provides a natural covariant spacetime cut-off, which not only regulates, but can also modify the nature of quantum fields in the deep UV. QFT on causal sets is formulated using the Sorkin-Johnston framework which uses the causal structure. Starting with the advanced and retarded Green’s functions and the spacetime commutator or Peierls bracket, the Sorkin-Johnston (SJ)SJ vacuum Wightmann function of a free Gaussian scalar fieldScalar field can be defined for continuumlike causal sets. This in turn can be used to construct Sorkin’s spacetime entanglement entropy (SSEE)Sorkin’s spacetime entanglement entropy (SSEE) for the free scalar field between sub-regions of a causal set.

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Quantum Scalar Fields on Causal Sets

  • 章节

  • 发表日期：

    2025年

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  • Sumati Surya

摘要

On the way to constructing a full dynamics for CST, lies the phenomenologically interesting regime of quantum field theory (QFT) on an ensemble of continuumlikeContinuumlike causal set causal sets. The kinematicalKinematics of CST  discreteness of causal sets provides a natural covariant spacetime cut-off, which not only regulates, but can also modify the nature of quantum fields in the deep UV. QFT on causal sets is formulated using the Sorkin-Johnston framework which uses the causal structure. Starting with the advanced and retarded Green’s functions and the spacetime commutator or Peierls bracket, the Sorkin-Johnston (SJ)SJ vacuum Wightmann function of a free Gaussian scalar fieldScalar field can be defined for continuumlike causal sets. This in turn can be used to construct Sorkin’s spacetime entanglement entropy (SSEE)Sorkin’s spacetime entanglement entropy (SSEE) for the free scalar field between sub-regions of a causal set.