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The Weyl meson arises in theories with local scale invariance. It acts as a candidate for dark matter in a generalized Standard Model with local scale invariance. The Higgs particle is absent from the physical spectrum in this theory. We…

High Energy Physics - Phenomenology · Physics 2013-05-29 Naveen K. Singh , Pankaj Jain , Subhadip Mitra , Sukanta Panda

We investigate a locally scale-invariant (that is, Weyl-invariant) theory which describes the coupling of gravity and the standard model from the viewpont of the Higgs mechanism and inflation. It is shown that this theory exhibits a…

High Energy Physics - Theory · Physics 2015-06-22 Ichiro Oda , Takahiko Tomoyose

Weyl's scale invariance is introduced as an additional local symmetry in the standard model of electroweak interactions. An inevitable consequence is the introduction of general relativity coupled to scalar fields a la Dirac and an…

High Energy Physics - Theory · Physics 2008-12-25 Hitoshi Nishino , Subhash Rajpoot

We introduce Weyl's scale invariance as an additional local symmetry in the standard model of electroweak interactions. An inevitable consequence is the introduction of general relativity coupled to scalar fields a la Dirac and an…

High Energy Physics - Theory · Physics 2007-05-23 Hitoshi Nishino , Subhash Rajpoot

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…

High Energy Physics - Theory · Physics 2021-12-08 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

We consider a classically scale-invariant extension of the standard model in which a dark, non-Abelian gauge symmetry is spontaneously broken via the Coleman-Weinberg mechanism. Higgs portal couplings between the dark and standard model…

High Energy Physics - Phenomenology · Physics 2013-10-02 Christopher D. Carone , Raymundo Ramos

We investigate the possibility that the observed behavior of test particles outside galaxies, which is usually explained by assuming the existence of dark matter, is the result of the dynamical evolution of particles in a Weyl type…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Piyabut Burikham , Tiberiu Harko , Kulapant Pimsamarn , Shahab Shahidi

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 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 Weyl-Weinberg-Salam model is presented. It is based on the local conformal gauge symmetry. The model identifies the Higgs scalar field in SM with the Penrose-Chernikov-Tagirov scalar field of the conformal theory of gravity. Higgs…

High Energy Physics - Theory · Physics 2010-12-13 Marek Pawlowski

We use gamma-ray observations by the Fermi Large Area Telescope (Fermi-LAT) to impose limits on the properties of the hypothetical particle Weyl meson. Such mesons arise in theories which display local scale invariance and act as dark…

High Energy Physics - Phenomenology · Physics 2014-08-14 Gopal Kashyap

We generalize the standard model of particle physics such it displays global scale invariance. The gravitational action is also suitably modified such that it respects this symmetry. This model is interesting since the cosmological constant…

Astrophysics · Physics 2009-06-23 Pankaj Jain , Subhadip Mitra , Naveen K. Singh

Weyl's idea on scale invariance was resurrected by Cheng in 1988. The requirement of local scale invariance leads to a completely new vector field, which we call the ``Cheng-Weyl vector field''. The Cheng-Weyl vector field couples only to a…

Astrophysics · Physics 2008-11-26 Hao Wei , Rong-Gen Cai

We present a classically equivalent reformulation of the Standard Model. In this framework, the Higgs doublet is recast as a $2\times2$ matrix and right-handed fermion singlets are organized into novel doublets. This restructuring reveals a…

High Energy Physics - Theory · Physics 2025-12-08 Peng Huang

Scale-invariant actions in arbitrary dimensions are investigated in curved space to clarify the relation between scale-, Weyl- and conformal invariance on the classical level. The global Weyl-group is gauged. Then the class of actions is…

High Energy Physics - Theory · Physics 2009-10-30 A. Iorio , L. O'Raifeartaigh , I. Sachs , C. Wiesendanger

A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector of elementary particle fields, taking into account their basic scaling freedom.…

High Energy Physics - Theory · Physics 2015-05-27 Erhard Scholz

Here we show that local scale invariance -- invariance under Weyl rescalings -- may safely coexist with broken electroweak symmetry if assume the Weyl geometric theory to govern the affine structure of spacetime. We find that within the…

General Relativity and Quantum Cosmology · Physics 2014-01-06 Israel Quiros

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 explore cosmological implications of a genuinely Weyl invariant (WI) gravitational interaction. The latter reduces to general relativity in a particular conformal frame for which the gravitational coupling and active gravitational masses…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-04 Meir Shimon

We extend our program, of coupling theories to scale in order to make their Weyl invariance manifest, to include interacting theories, fermions and supersymmetric theories. The results produce mass terms coinciding with the standard ones…

High Energy Physics - Theory · Physics 2014-11-20 Abrar Shaukat , Andrew Waldron
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