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Einstein-Cartan gravity, matter, and scale-invariant generalization

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arxiv 2007.16158 v2 pith:JJVGFS4W submitted 2020-07-31 hep-th gr-qchep-ph

Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell This is my paper
classification hep-thgr-qchep-ph
keywords theoryeinstein-cartangravitymassmatterscalaractionadding
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We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in curvature. By resolving the theory explicitly for torsion, we arrive at an equivalent metric theory containing additional six-dimensional operators. This lays the groundwork for cosmological studies of the theory. We also perform the same analysis for a no-scale scenario in which the Planck mass is eliminated at the cost of adding an extra scalar degree of freedom. Finally, we outline phenomenological implications of the resulting theories, in particular to inflation and dark matter production.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Torsion induced current-scalaron coupling in Einstein-Cartan gravity

    hep-ph 2025-07 conditional novelty 6.0 of 10

    In Einstein-Cartan gravity, torsion-current couplings induce scalaron-current and scalaron Chern-Simons interactions, with explicit decay constants and a classification of their asymptotic behavior.

  2. The particle spectra of parity-violating theories: A less radical approach and an upgrade of PSALTer

    hep-th 2025-06 conditional novelty 6.0 of 10

    The authors derive a simpler no-ghost condition based on a kinetic matrix and release a parity-violating upgrade of PSALTer, demonstrating it on Einstein-Cartan gravity with two scalar modes.

  3. The Goldstone Awakens: Unimodular dark energy in scale-invariant $R^2$ gravity

    astro-ph.CO 2026-07 conditional novelty 5.0 of 10

    In a scale-invariant R² + unimodular-gravity model, the Goldstone boson of scale symmetry becomes thawing dark energy, with its equation of state fixed by the same coupling that sets the inflationary spectral tilt.

  4. Progress in Einstein-Cartan gravity

    hep-th 2025-06 conditional novelty 3.0 of 10

    A review of Weyl-invariant Einstein-Cartan gravity claiming that one extra axion-like scalar can unify the strong CP and hierarchy puzzles, with the hierarchy explained by tiny Lorentz gauge couplings.

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