Matter matters in Einstein-Cartan gravity

Abstract

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton. Eliminating non-propagating degrees of freedom, we derive an equivalent theory in the metric formulation of gravity. It features contact interactions of a certain form between and among the matter and gauge currents. We also discuss briefly the inclusion of curvature-squared terms.

Journal version---discussion extended, typos corrected, references added

References in corpus (21)

• The Standard Model Higgs boson as the inflaton
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Constraints on Torsion from Lorentz Violation
• The Barbero-Immirzi Parameter as a Scalar Field: K-Inflation from Loop Quantum Gravity?
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• Barbero-Immirzi field in canonical formalism of pure gravity
• Peccei--Quinn mechanism in gravity and the nature of the Barbero--Immirzi parameter
• Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds
• On the geometrical interpretation of scale-invariant models of inflation
• No fifth force in a scale invariant universe
• Immirzi parameter and fermions with non-minimal coupling
• Asymptotics and Hamiltonians in a First order formalism
• Higgs-Dilaton cosmology: Are there extra relativistic species?
• Higgs-Dilaton cosmology: Universality vs. criticality
• The particle spectrum of parity-violating Poincaré gravitational theory
• Higgs inflation and teleparallel gravity
• Generalized plane waves in Poincaré gauge theory of gravity
• Remarks on Barbero-Immirzi parameter as a field
• Dilaton-assisted generation of the Fermi scale from the Planck scale