2010/05/31 by Nikodem J. Poplawski, N.J. Popławski
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Cosmology and Gravitation Theories #Quantum and Classical Electrodynamics #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1002/andp.201000162
published as Annalen Phys. 523: 291,2011 · 4 pages; published version
openalex publication_date 2011/02/01 · arxiv created 2011/07/04 · arxiv updated 2011/07/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Abstract We present a simple and natural way to derive the observed small, positive cosmological constant from the gravitational interaction of condensing fermions. In the Riemann‐Cartan spacetime, torsion gives rise to the axial–axial vector four‐fermion interaction term in the Dirac Lagrangian for spinor fields. We show that this nonlinear term acts like a cosmological constant if these fields have a nonzero vacuum expectation value. For quark fields in QCD, such a torsion‐induced cosmological constant is positive and its energy scale is only about 8 times larger than the observed value. Adding leptons to this picture could lower this scale to the observed value.