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Quantum Love Numbers are Non-Zero — arXiv:2609.25875

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.25875
License (as archived): CC0-1.0
Archived: 2026-10-08T13:20:42.532Z
SHA-256 of the archived text: 269a687328bb43d242ccc280e43ccf40f844f147543d98921d845f187107bbc7
Stable URL of this page: https://metraipolis.com/documento/dc_253a30deb8bb

How to cite

Quantum Love Numbers are Non-Zero — arXiv:2609.25875 — arXiv (en), https://arxiv.org/abs/2609.25875 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_253a30deb8bb (Metraipolis archive dc_253a30deb8bb, sha256 269a687328bb43d242ccc280e43ccf40f844f147543d98921d845f187107bbc7)

BibTeX

@misc{dc253a30deb8bb,
  title = {Quantum Love Numbers are Non-Zero — arXiv:2609.25875},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.25875},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_253a30deb8bb; sha256 269a687328bb43d242ccc280e43ccf40f844f147543d98921d845f187107bbc7},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.25875. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The static Love numbers of four-dimensional Schwarzschild black holes vanish classically. We show that this is not true in the quantum theory. Working in the worldline effective field theory, we compute the leading quantum correction to the Compton amplitude for massless scalars and photons scattering off a Schwarzschild black hole at first post-Minkowskian order, and find logarithmic divergences associated with the renormalization of the static Love numbers. We conclude that renormalization-group running necessarily generates Love numbers suppressed by the square of the Planck length in units of the horizon radius, $\ell_{\rm pl}^{2}/r_{\rm h}^{2}$. This is consistent with the classical vanishing being a consequence of an accidental symmetry of static general relativity, broken by quantum loops. Extrapolated to gravitational perturbations, our results suggest that the quadrupolar static Love numbers of Schwarzschild are of size $\lambda \sim M r_{\rm h}^{2} \ell_{\rm pl}^{2}$.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-24 in gr-qc).
Categorie arXiv: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2609.25875 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T13:11:03.886Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-24?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).