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PreprintarXiv licencearXiv

Relative entropy in quantum field theory: the case of squeezed fermions

Abstract

We review the role of relative entropy in quantum field theories, where the local von Neumann algebras are generically of type III. Consequently, only few exact results are known, and even bounds are difficult to obtain. As a new result, we prove that the relative entropy between a locally squeezed state and the Minkowski vacuum is finite for free fermions.

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BibTeX
@misc{frob2026relative,
  title = {{Relative entropy in quantum field theory: the case of squeezed fermions}},
  author = {Markus B. Fröb},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.20398},
  eprint = {2610.20398},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.20398},
}
RIS
TY  - UNPB
TI  - Relative entropy in quantum field theory: the case of squeezed fermions
AU  - Markus B. Fröb
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.20398
UR  - https://arxiv.org/abs/2610.20398
AB  - We review the role of relative entropy in quantum field theories, where the local von Neumann algebras are generically of type III. Consequently, only few exact results are known, and even bounds are difficult to obtain. As a new result, we prove that the relative entropy between a locally squeezed state and the Minkowski vacuum is finite for free fermions.
ER  -