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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 non-minimal couplings of the scalar fields to the Ricci scalar, that are…

高能物理 - 理论 · 物理学 2019-06-12 D. M. Ghilencea , Hyun Min Lee

We consider a coupling of conformal gravity to the classically scale-invariant B-L extended standard model which has been recently proposed as a phenomenologically viable model realizing the Coleman-Weinberg mechanism of breakdown of the…

高能物理 - 唯象学 · 物理学 2015-06-15 Ichiro Oda

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 is possible without new degrees of freedom beyond SM and Weyl…

高能物理 - 理论 · 物理学 2025-02-14 D. M. Ghilencea

Recently the vector inflation has been proposed as the alternative to inflationary models based on scalar bosons and quintessence scalar fields. In the vector inflationary model, the vector field non-minimally couples to gravity. We should,…

广义相对论与量子宇宙学 · 物理学 2012-04-06 Takuya Maki , Yuji Naramoto , Kiyoshi Shiraishi

We develop a symmetry-based construction of gravity from a phase in which Weyl invariance is spontaneously broken. Using the coset formalism, the dilaton acts as a Stuckelberg field for the gauged scale symmetry, giving the Weyl gauge field…

高能物理 - 理论 · 物理学 2025-10-13 Lucas Fernández Sarmiento , Irvin Martínez Rodríguez

We review recent developments in physical implications of Weyl conformal geometry. The associated Weyl quadratic gravity action is a gauge theory of the Weyl group of dilatations and Poincar\'e symmetry. Weyl conformal geometry is defined…

高能物理 - 理论 · 物理学 2025-06-05 D. M. Ghilencea

Weyl conformal geometry may play a role in early cosmology where effective theory at short distances becomes conformal. Weyl conformal geometry also has a built-in geometric Stueckelberg mechanism: it is broken spontaneously to Riemannian…

高能物理 - 理论 · 物理学 2020-02-19 D. M. Ghilencea

We study Weyl conformal geometry as a general gauge theory of the Weyl group (of Poincar\'e and dilatations symmetries) in a manifestly Weyl gauge covariant formalism in which this geometry is automatically metric and physically relevant.…

高能物理 - 理论 · 物理学 2025-03-31 C. Condeescu , D. M. Ghilencea , A. Micu

We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation,…

高能物理 - 理论 · 物理学 2024-08-15 C. Condeescu , D. M. Ghilencea , A. Micu

We consider a coupling of dilaton gravity to the classically scale-invariant B-L extended standard model which has been recently proposed as a phenomenologically viable model realizing the Coleman-Weinberg mechanism of breakdown of the…

高能物理 - 唯象学 · 物理学 2013-04-03 Ichiro Oda

A new method for the construction of conformally invariant equations in an arbitrary four dimensional (pseudo-) Riemannian space is presented. This method uses the Weyl geometry as a tool and exploits the natural conformal invariance we can…

高能物理 - 理论 · 物理学 2015-12-01 Sofiane Faci

We study the theory of Weyl conformal gravity with matter degrees of freedom in a conformally invariant interaction. Specifically, we consider a triplet of scalar fields and SO(3) non-abelian gauge fields, i.e. the Georgi-Glashow model…

高能物理 - 理论 · 物理学 2009-08-07 A. Edery , Luca Fabbri , M. B. Paranjape

We construct a Weyl x SU(2)_L x U(1)_Y invariant theory by extending four-dimensional Weyl quadratic gravity with Weyl-invariant scalar, fermion, Yukawa and gauge sectors. The quadratic structure (R^tilde - mu^2 |phi|^2)^2 allows the Weyl…

高能物理 - 唯象学 · 物理学 2026-05-06 Hao-Qian Peng , Yun-Tao Gu , Yu-Xiao Liu

In this paper we study a novel realization of inflation, based on Weyl invariant gravity with torsion. We show that requiring the classical action for the scalar field to be Weyl invariant introduces a dilaton which induces a non trivial…

广义相对论与量子宇宙学 · 物理学 2019-01-16 A. Barnaveli , S. Lucat , T. Prokopec

Could a conformal Galileon be describing a gauge mode of a broader diffeomorphism invariant theory? We answer this question affirmatively in 3D by using a coset construction for a nonlinearly realized conformal symmetry. In particular, we…

高能物理 - 理论 · 物理学 2019-05-31 Gregory Gabadadze , Giorgi Tukhashvili

It is shown that in the quadratic gravity based on Weyl's conformal geometry, the Planck mass scale can be generated from quantum effects of the gravitational field and the Weyl gauge field via the Coleman-Weinberg mechanism where a local…

高能物理 - 理论 · 物理学 2019-09-24 Ichiro Oda

We consider a mimetic type extension of the Weyl geometric gravity theory, by assuming that the metric of the space-time manifold can be parameterized in terms of a scalar field, called the mimetic field. The action of the model is obtained…

广义相对论与量子宇宙学 · 物理学 2025-03-19 Daria-Ioana Visa , Tiberiu Harko , Shahab Shahidi

We compute the evolution of cosmological perturbations in a recently proposed Weyl-symmetric theory of two scalar fields with oppositely-signed conformal couplings to Einstein gravity. It is motivated from the minimal conformal extension of…

高能物理 - 理论 · 物理学 2014-10-08 Marius Oltean , Robert Brandenberger

In 1918 Weyl introduced Weyl conformal geometry and its associated quadratic action which was the first gauge theory, of a spacetime symmetry, the Weyl gauge theory (of dilatations and Poincar\'e symmetry). The initial physical…

广义相对论与量子宇宙学 · 物理学 2026-04-10 D. M. Ghilencea

We examine the variational and conformal structures of higher order theories of gravity which are derived from a metric-connection Lagrangian that is an arbitrary function of the curvature invariants. We show that the constrained first…

广义相对论与量子宇宙学 · 物理学 2009-10-30 S. Cotsakis , J. Miritzis , L. Querella
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