4.4 Article

Cosmological constant from quarks and torsion

Journal

ANNALEN DER PHYSIK
Volume 523, Issue 4, Pages 291-295

Publisher

WILEY-V C H VERLAG GMBH
DOI: 10.1002/andp.201000162

Keywords

Einstein-Cartan-Sciama-Kibble gravity; torsion; Dirac Lagrangian; cosmological constant; QCD vacuum; fermionic condensate

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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. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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