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Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole

  • Owen Pavel Fernández Piedra
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Abstract

We study the leading semiclassical backreaction of massive scalar, spinor, and vector fields in the spacetime of a pointlike global monopole. Starting from the renormalized stress-energy tensors obtained in the Schwinger--DeWitt approximation, we derive the first-order semiclassical geometry generated by a general conserved diagonal source and then specialize it to fields of spin $0$, 1/2, and $1$. The locally fixed quantum source falls as r−6 and induces metric corrections of order r−4. The scalar field generically produces distinct temporal and radial metric functions, whereas the spinor and vector fields lead to one-function geometries. We analyze the resulting curvature correction, the acceleration of static observers, geodesic motion, and the validity domain of the first-order solution. The quantum backreaction produces a local deformation of the monopole exterior but does not modify its asymptotic solid-angle deficit.

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Cite

BibTeXRIS
BibTeX
@misc{piedra2026semiclassical,
  title = {{Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole}},
  author = {Owen Pavel Fernández Piedra},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2606.31255},
  eprint = {2606.31255},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.31255},
}
RIS
TY  - UNPB
TI  - Semiclassical Backreaction of Massive Quantum Fields in the Spacetime of a Global Monopole
AU  - Owen Pavel Fernández Piedra
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2606.31255
UR  - https://arxiv.org/abs/2606.31255
AB  - We study the leading semiclassical backreaction of massive scalar, spinor, and vector fields in the spacetime of a pointlike global monopole. Starting from the renormalized stress-energy tensors obtained in the Schwinger--DeWitt approximation, we derive the first-order semiclassical geometry generated by a general conserved diagonal source and then specialize it to fields of spin $0$, 1/2, and $1$. The locally fixed quantum source falls as r^−6 and induces metric corrections of order r^−4. The scalar field generically produces distinct temporal and radial metric functions, whereas the spinor and vector fields lead to one-function geometries. We analyze the resulting curvature correction, the acceleration of static observers, geodesic motion, and the validity domain of the first-order solution. The quantum backreaction produces a local deformation of the monopole exterior but does not modify its asymptotic solid-angle deficit.
ER  -