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Coupling Metric-Affine Gravity to a Higgs-Like Scalar Field
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General Relativity (GR) exists in different formulations. They are equivalent in pure gravity but generically lead to distinct predictions once matter is included. After a brief overview of various versions of GR, we focus on metric-affine gravity, which avoids any assumption about the vanishing of curvature, torsion or non-metricity. We use it to construct an action of a scalar field coupled non-minimally to gravity. It encompasses as special cases numerous previously studied models. Eliminating non-propagating degrees of freedom, we derive an equivalent theory in the metric formulation of GR. Finally, we give a brief outlook to implications for Higgs inflation.
Forward citations
Cited by 8 Pith papers
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Infrared foundations for quantum geometry II: Catalogue of all torsion-like theories including new ghost-tachyon-free cases
A systematic catalogue of symmetric pair-antisymmetric rank-three field theories yields 22 ghost-tachyon-free models, all propagating vector torsion and none propagating scalar or pseudoscalar torsion.
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On the Gravitational Origin of the QCD Axion
Derivative-coupled gravitational axions cannot solve the strong CP problem; Weyl-invariant Einstein-Cartan gravity is identified as the only promising framework for a gravitational QCD axion.
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Inflation with Nieh-Yan-like terms in metric-affine gravity
A generalized Nieh-Yan coupling in metric-affine gravity can restore the consistency of Palatini inflation with CMB observations and produce testable tensor-to-scalar ratios.
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Weyl-invariant Einstein-Cartan gravity with a heavy ALP: Higgs Inflation and $\alpha$-attractors
In a Weyl-invariant Einstein-Cartan gravity theory with the SM Higgs and a heavy gravitational ALP, tuning two nonminimal couplings reproduces metric Higgs inflation and α-attractor-like inflation with ns≈1−2/N and r≈12/N^2.
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The particle spectra of parity-violating theories: A less radical approach and an upgrade of PSALTer
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.
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Ephemeral Oscillons in Scalar-Tensor Theories: The Higgs-like case
In a Higgs-like Einstein-Cartan inflation model, oscillons formed after inflation are short-lived and their decay drives radiation domination within about four e-folds.
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Symmetry-breaking inflation in non-minimal metric-affine gravity
A Holst-invariant coupling to the inflaton makes symmetry-breaking inflation viable, including the previously unattainable sub-Planckian vacuum expectation value case.
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Geometrical origin of inflation in Weyl-invariant Einstein-Cartan gravity
The scalar mode of Weyl-invariant Einstein-Cartan quadratic gravity yields the same inflationary potential as pseudoscalaron inflation and can fit CMB data for large parameter q.
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