Four-fermion interaction from torsion as dark energy

Abstract

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.

6 pages; published version

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• Renormalizability of the Dirac Equation in Torsion-Gravity with Non-Minimal Coupling
• Einstein-Cartan-Dirac gravity with $U(1)$ symmetry breaking
• Spinor fields in $f(\mathcal{Q})$-gravity
• General Relativity with Local Space-time Defects
• Cosmological bounces, cyclic universes, and effective cosmological constant in Einstein-Cartan-Dirac-Maxwell theory
• Cartan $F(R)$ Gravity and Equivalent Scalar-Tensor Theory
• Beyond Einstein: A Polynomial Affine Model of Gravity
• Completely Deformed Complexity-free Anisotropic Fluid Sphere
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• Observing Geometrical Torsion
• Corrections to Higgs width decay into a fermion pair from gravitational torsion
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• Torsional four-fermion interaction and the Raychaudhuri equation
• Black hole with a Dirac field in 3+1 dimensions