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Cylinder Defect Casimir Energy and Weyl Anomalies

  • Yang Zhou
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Abstract

We distinguish two Casimir observables associated with a conformal surface defect. A circular cylinder embedded in flat space has a logarithmic contribution to its Casimir energy, −d1log(R/ε)/(24R), fixed by the displacement anomaly. A great cylinder obtained by radial quantization of the ambient theory instead has Casimir energy −b/(12R) in the conformal defect vacuum with a fixed local anomaly convention. Free-field and holographic calculations provide checks of the proposed relations in both embeddings.

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Cite

BibTeXRIS
BibTeX
@misc{zhou2026cylinder,
  title = {{Cylinder Defect Casimir Energy and Weyl Anomalies}},
  author = {Yang Zhou},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.34529},
  eprint = {2609.34529},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.34529},
}
RIS
TY  - UNPB
TI  - Cylinder Defect Casimir Energy and Weyl Anomalies
AU  - Yang Zhou
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.34529
UR  - https://arxiv.org/abs/2609.34529
AB  - We distinguish two Casimir observables associated with a conformal surface defect. A circular cylinder embedded in flat space has a logarithmic contribution to its Casimir energy, −d_1log(R/ε)/(24R), fixed by the displacement anomaly. A great cylinder obtained by radial quantization of the ambient theory instead has Casimir energy −b/(12R) in the conformal defect vacuum with a fixed local anomaly convention. Free-field and holographic calculations provide checks of the proposed relations in both embeddings.
ER  -