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2010

Cosmological constant from quarks and torsion

Poplawski, Nikodem J.

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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 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.

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