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Relative entropy for λϕ4 in the Rindler wedge

  • Markus B. Fröb
  • Albert Much
  • Kyriakos Papadopoulos
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Abstract

We consider the relative entropy between the vacuum and a coherent state in the Rindler wedge for an interacting λϕ4 theory to first order in λ. We construct the perturbatively interacting Weyl algebra of the wedge, and employ Tomita-Takesaki modular theory and the Araki-Uhlmann formula to compute the relative entropy. We verify that the relative entropy reduces to the classical (interacting) boost Noether charge, analogously to the free theory, and that the Bekenstein bound holds.

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Cite

BibTeXRIS
BibTeX
@misc{frob2026relative,
  title = {{Relative entropy for $λϕ^4$ in the Rindler wedge}},
  author = {Markus B. Fröb and Albert Much and Kyriakos Papadopoulos},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.07810},
  eprint = {2607.07810},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.07810},
}
RIS
TY  - UNPB
TI  - Relative entropy for λϕ^4 in the Rindler wedge
AU  - Markus B. Fröb
AU  - Albert Much
AU  - Kyriakos Papadopoulos
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2607.07810
UR  - https://arxiv.org/abs/2607.07810
AB  - We consider the relative entropy between the vacuum and a coherent state in the Rindler wedge for an interacting λϕ^4 theory to first order in λ. We construct the perturbatively interacting Weyl algebra of the wedge, and employ Tomita-Takesaki modular theory and the Araki-Uhlmann formula to compute the relative entropy. We verify that the relative entropy reduces to the classical (interacting) boost Noether charge, analogously to the free theory, and that the Bekenstein bound holds.
ER  -