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PreprintCC0arXiv

Scalar Casimir Effect on a Two-Dimensional Sphere with a Wu--Yang Magnetic Monopole

  • Jun-Cheng Zhang
  • Xiao-Yin Pan
  • Juhao Wu
  • Qing-hai Wang
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Abstract

We investigate the Casimir effect of a complex scalar field on a two-dimensional sphere threaded by a fixed Wu--Yang magnetic monopole at the center. In this background the charged scalar field is a section of a nontrivial complex line bundle over S2, reflecting the monopole's nontrivial topology. We solve the Klein--Gordon equation analytically and compute the Casimir energy using a generalized Abel--Plana formula for multivalued functions. We find that the monopole can reverse the sign of the Casimir pressure, turning an attractive force into a repulsive one when the monopole strength is sufficiently large. This behavior persists across a broad range of curvature couplings and suggests that Wu--Yang monopoles may provide a source of repulsive vacuum stress, with possible implications for gravitational and cosmological settings.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026scalar,
  title = {{Scalar Casimir Effect on a Two-Dimensional Sphere with a Wu--Yang Magnetic Monopole}},
  author = {Jun-Cheng Zhang and Xiao-Yin Pan and Juhao Wu and Qing-hai Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08378},
  eprint = {2609.08378},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08378},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Scalar Casimir Effect on a Two-Dimensional Sphere with a Wu--Yang Magnetic Monopole
AU  - Jun-Cheng Zhang
AU  - Xiao-Yin Pan
AU  - Juhao Wu
AU  - Qing-hai Wang
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.08378
UR  - https://arxiv.org/abs/2609.08378
AB  - We investigate the Casimir effect of a complex scalar field on a two-dimensional sphere threaded by a fixed Wu--Yang magnetic monopole at the center. In this background the charged scalar field is a section of a nontrivial complex line bundle over S^2, reflecting the monopole's nontrivial topology. We solve the Klein--Gordon equation analytically and compute the Casimir energy using a generalized Abel--Plana formula for multivalued functions. We find that the monopole can reverse the sign of the Casimir pressure, turning an attractive force into a repulsive one when the monopole strength is sufficiently large. This behavior persists across a broad range of curvature couplings and suggests that Wu--Yang monopoles may provide a source of repulsive vacuum stress, with possible implications for gravitational and cosmological settings.
ER  -