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arXiv · 2108.05897

Scale and Weyl Invariance in Einstein-Cartan Gravity

Georgios K. Karananas·Mikhail Shaposhnikov·Andrey Shkerin·Sebastian Zell
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Abstract

We show how Einstein-Cartan gravity can accommodate both global scale and local scale (Weyl) invariance. To this end, we construct a wide class of models with nonpropagaing torsion and a nonminimally coupled scalar field. In phenomenological applications the scalar field is associated with the Higgs boson. For global scale invariance, an additional field -- dilaton -- is needed to make the theory phenomenologically viable. In the case of the Weyl symmetry, the dilaton is spurious and the theory reduces to a sub-class of one-field models. In both scenarios of scale invariance, we derive an equivalent metric theory and discuss possible implications for phenomenology.

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Georgios K. Karananas, Mikhail Shaposhnikov, Andrey Shkerin, Sebastian Zell. 2021-12-07. Scale and Weyl Invariance in Einstein-Cartan Gravity. https://doi.org/10.1103/physrevd.104.124014

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