Standard Model in Weyl conformal geometry

DM Ghilencea - The European Physical Journal C, 2022 - Springer
Abstract We study the Standard Model (SM) in Weyl conformal geometry. This embedding is
truly minimal with no new fields beyond the SM spectrum and Weyl geometry. The action …

Weyl conformal geometry vs Weyl anomaly

DM Ghilencea - Journal of High Energy Physics, 2023 - Springer
A bstract Weyl conformal geometry is a gauge theory of scale invariance that naturally brings
together the Standard Model (SM) and Einstein gravity. The SM embedding in this geometry …

Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential

DM Ghilencea - Journal of High Energy Physics, 2019 - Springer
A bstract We consider the (gauged) Weyl gravity action, quadratic in the scalar curvature
(\(\tilde {R}\)) and in the Weyl tensor (\({\tilde {C}} _ {\mu\nu\rho\sigma}\)) of the Weyl …

Palatini quadratic gravity: spontaneous breaking of gauged scale symmetry and inflation

DM Ghilencea - The European Physical Journal C, 2020 - Springer
We study quadratic gravity R^ 2+ R_ μ ν^ 2 R 2+ R μ ν 2 in the Palatini formalism where the
connection and the metric are independent. This action has a gauged scale symmetry (also …

Matter matters in Einstein-Cartan gravity

GK Karananas, M Shaposhnikov, A Shkerin, S Zell - Physical Review D, 2021 - APS
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 …

Inflation in Weyl-invariant Einstein-Cartan gravity

ID Gialamas, K Tamvakis - Physical Review D, 2025 - APS
We consider Weyl-invariant quadratic Einstein-Cartan gravity coupled to a scalar field and
study the inflationary behavior of the coupled system of the scalar field and the pseudoscalar …

Inertial spontaneous symmetry breaking and quantum scale invariance

PG Ferreira, CT Hill, GG Ross - Physical Review D, 2018 - APS
Weyl invariant theories of scalars and gravity can generate all mass scales spontaneously,
initiated by a dynamical process of “inertial spontaneous symmetry breaking” that does not …

Weyl gauge symmetry and its spontaneous breaking in the standard model and inflation

DM Ghilencea, HM Lee - Physical Review D, 2019 - APS
We discuss the local (gauged) Weyl symmetry and its spontaneous breaking and apply it to
model building beyond the standard model (SM) and inflation. In models with nonminimal …

Scale invariant Einstein-Cartan gravity and flat space conformal symmetry

GK Karananas, M Shaposhnikov, S Zell - Journal of High Energy Physics, 2023 - Springer
A bstract We find the conditions under which scale-invariant Einstein-Cartan gravity with
scalar matter fields leads to an approximate conformal invariance of the flat space particle …

Scale and Weyl invariance in Einstein-Cartan gravity

GK Karananas, M Shaposhnikov, A Shkerin, S Zell - Physical Review D, 2021 - APS
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 nonpropagating …