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PreprintCC BY 4.0arXiv

Measuring Dual-Superconductor Length Scales in the QCD Vacuum at HERA

  • Tobias Toll
  • Nahid Vasim
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Abstract

In the dual-superconductor picture, the QCD vacuum behaves like a superconductor for chromoelectric fields, with characteristic penetration and coherence lengths. These scales have so far been studied primarily through lattice calculations of static flux tubes. We show that they are also imprinted on exclusive diffraction, where the transverse profile of a gluonic hotspot reflects the response of the vacuum to a localized color source. Using the Clem vortex profile, we fit all 104 H1 and ZEUS measurements of exclusive J/ψ photoproduction and find χ2/ndf=0.72, the penetration depth λ=0.19(2) fm, the hotspot core size ξv=0.087(13) fm, and the Ginzburg--Landau parameter κ=2.7(7), placing the effective vacuum description in the type-II regime. The corresponding vector mass 1/λ=1.03(11) GeV agrees with the lattice gluelump mass, and the extracted parameters reproduce the QCD string tension with no free normalization.

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Cite

BibTeXRIS
BibTeX
@misc{toll2026measuring,
  title = {{Measuring Dual-Superconductor Length Scales in the QCD Vacuum at HERA}},
  author = {Tobias Toll and Nahid Vasim},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.28700},
  eprint = {2609.28700},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28700},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Measuring Dual-Superconductor Length Scales in the QCD Vacuum at HERA
AU  - Tobias Toll
AU  - Nahid Vasim
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.28700
UR  - https://arxiv.org/abs/2609.28700
AB  - In the dual-superconductor picture, the QCD vacuum behaves like a superconductor for chromoelectric fields, with characteristic penetration and coherence lengths. These scales have so far been studied primarily through lattice calculations of static flux tubes. We show that they are also imprinted on exclusive diffraction, where the transverse profile of a gluonic hotspot reflects the response of the vacuum to a localized color source. Using the Clem vortex profile, we fit all 104 H1 and ZEUS measurements of exclusive J/ψ photoproduction and find χ^2/ndf=0.72, the penetration depth λ=0.19(2) fm, the hotspot core size ξ_v=0.087(13) fm, and the Ginzburg--Landau parameter κ=2.7(7), placing the effective vacuum description in the type-II regime. The corresponding vector mass 1/λ=1.03(11) GeV agrees with the lattice gluelump mass, and the extracted parameters reproduce the QCD string tension with no free normalization.
ER  -