2018/08/20 by Jiro Hashiba, Hashiba, Jiro · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.1808.06517
9 pages, 4 figures; v4: section II significantly revised, section VI added, and minor corrections
openalex publication_date 2018/08/20 · arxiv created 2019/01/07 · arxiv updated 2019/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a toy model in which Majorana or Dirac fermions behave as the source for a small vacuum energy in the present Universe. In the model, a self-interacting scalar boson coupled with fermions induces attractive and repulsive interactions between the fermions simultaneously. These interactions allow for the existence of a metastable state with positive energy density comprised of fermions degenerate inside a Fermi surface. The energy density of the metastable state remains constant as the Universe expands. This is because pair-productions of fermions from the vacuum continuously take place at no energy cost and keep supplying fermions uniformly to the Universe. The observed vacuum energy density ∼ 10-47~\textrmGeV4 is reproduced for the fermion and scalar mass of the order 10-3~\textrmeV.