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PreprintCC BY 4.0arXiv

A Density Functional for Quark Matter with Screened Confinement Interactions

Abstract

We derive a density functional for quark matter with linear confinement interaction, applying the principle of saturation of color interactions. For the saturation parameter μ the ansatz μ=kF is suggested, where for the Fermi momentum kF ∝ n1/3 going to zero the Cornell potential is obtained and at finite quark densities n an interaction energy density functional ∝ n2/3 results.

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BibTeX
@misc{heymer2026density,
  title = {{A Density Functional for Quark Matter with Screened Confinement Interactions}},
  author = {Oliver Heymer and David Blaschke},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12422},
  eprint = {2610.12422},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12422},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Density Functional for Quark Matter with Screened Confinement Interactions
AU  - Oliver Heymer
AU  - David Blaschke
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12422
UR  - https://arxiv.org/abs/2610.12422
AB  - We derive a density functional for quark matter with linear confinement interaction, applying the principle of saturation of color interactions. For the saturation parameter μ the ansatz μ=k_F is suggested, where for the Fermi momentum k_F ∝ n^1/3 going to zero the Cornell potential is obtained and at finite quark densities n an interaction energy density functional ∝ n^2/3 results.
ER  -