Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 44, Issue 2, Pages 491-499Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-011-1288-1
Keywords
Einstein-Cartan-Sciama-Kibble gravity; Torsion; Spin; Dirac Lagrangian; Hehl-Datta equation; Four-fermion interaction; Cosmological constant; Quark condensate; Parity; Nonminimal coupling
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The observed small, positive cosmological constant may originate from a four-fermion interaction generated by the spin-torsion coupling in the Einstein-Cartan-Sciama-Kibble gravity if the fermions are condensing. In particular, such a condensation occurs for quark fields during the quark-gluon/hadron phase transition in the early Universe. We study how the torsion-induced four-fermion interaction is affected by adding two terms to the Dirac Lagrangian density: the parity-violating pseudoscalar density dual to the curvature tensor and a spinor-bilinear scalar density which measures the nonminimal coupling of fermions to torsion.
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