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It is shown that gravitation naturally emerges from the standard model of particle physics if local scale invariance is imposed in the context of a single conformal (Weyl-symmetric) theory. Gravitation is then conformally-related to the…

General Relativity and Quantum Cosmology · Physics 2018-06-15 Meir Shimon

We study the Standard Model (SM) in Weyl conformal geometry. This embedding is natural and truly minimal {\it with no new fields} required beyond the SM spectrum and Weyl geometry. The action inherits a gauged scale symmetry $D(1)$ (known…

High Energy Physics - Phenomenology · Physics 2022-11-24 D. M. Ghilencea

The postulate of universal conformal (local Weyl scaling) symmetry modifies both general relativity and the Higgs scalar field model. The conformal Higgs model (CHM) generates an effective cosmological constant that fits observed…

General Relativity and Quantum Cosmology · Physics 2022-03-21 R. K. Nesbet

The postulate of universal local Weyl scaling (conformal) symmetry modifies both general relativity and the Higgs scalar field model. The conformal Higgs model (CHM) acquires a cosmological effect that fits observed accelerating Hubble…

General Relativity and Quantum Cosmology · Physics 2022-02-02 R. K. Nesbet

Recent cosmological observations and compatible theory offer an understanding of long-mysterious dark matter and dark energy. The postulate of universal conformal local Weyl scaling symmetry, without dark matter, modifies action integrals…

General Physics · Physics 2021-09-22 R. K. Nesbet

We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent with Weyl symmetry. Advantages of such a…

High Energy Physics - Theory · Physics 2014-02-26 Itzhak Bars , Paul Steinhardt , Neil Turok

The postulate that all massless elementary fields have conformal Weyl local scaling symmetry has remarkable consequences for both cosmology and elementary particle physics. Conformal symmetry couples scalar and gravitational fields.…

General Physics · Physics 2011-09-27 R. K. Nesbet

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…

High Energy Physics - Theory · Physics 2014-10-08 Marius Oltean , Robert Brandenberger

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…

High Energy Physics - Theory · Physics 2019-09-24 Ichiro Oda

The formulation of the Higgs effect is studied in the Glashow--Weinberg--Salam Standard Model, where the constant part of the Higgs potential is identified with the zeroth mode of the Higgs field. In this model, the Coleman--Weinberg…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. M. Barbashov , L. A. Glinka , V. N. Pervushin , A. F. Zakharov

The unification of general relativity and standard model for strong and electro-weak interactions is considered on the base of the conformal symmetry principle. The Penrose-Chernikov-Tagirov Lagrangian is used to describe the Higgs scalar…

High Energy Physics - Theory · Physics 2009-10-31 M. Pawlowski , V. V. Papoyan , V. N. Pervushin , V. I. Smirichinski

We show that in a 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 scale…

High Energy Physics - Theory · Physics 2020-03-30 Ichiro Oda

The postulate of universal Weyl conformal symmetry for all elementary physical fields introduces nonclassical gravitational effects in both conformal gravitation(CG) and the conformal Higgs model (CHM). The resulting theory is found to…

General Relativity and Quantum Cosmology · Physics 2023-12-27 R. K. Nesbet

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…

High Energy Physics - Phenomenology · Physics 2026-05-06 Hao-Qian Peng , Yun-Tao Gu , Yu-Xiao Liu

The postulate of universal local Weyl scaling (conformal) symmetry modifies both general relativity and the Higgs scalar field model. Conformal gravity (CG) has recently been fitted to rotation data for 138 galaxies. The conformal Higgs…

General Physics · Physics 2020-08-04 R. K. Nesbet

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…

High Energy Physics - Phenomenology · Physics 2015-06-15 Ichiro Oda

We present a scale-invariant theory, conformal gravity, which closely resembles the geometrodynamical formulation of general relativity (GR). While previous attempts to create scale-invariant theories of gravity have been based on Weyl's…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Edward Anderson , Julian Barbour , Brendan Foster , Niall O'Murchadha

Local scale invariant theory leads to the existence of a new particle called the Weyl vector meson. We study a generalized Standard Model, which displays local scale invariance. The model contains a real scalar field, besides the Higgs…

High Energy Physics - Phenomenology · Physics 2013-02-05 Gopal Kashyap

We consider the Salam-Weinberg theory by introducing tensor gauge fields. When these fields are coupled in a topological way with the vector ones, the resulting system constitutes an alternative mechanism of mass generation for vector…

High Energy Physics - Theory · Physics 2007-05-23 J. Barcelos-Neto , S. Rabello

Recently, it has been pointed out that dimensionless actions in four dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed {\it restricted Weyl…

High Energy Physics - Theory · Physics 2015-08-26 Ariel Edery , Yu Nakayama
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