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We discuss comparatively local versus gauged Weyl symmetry beyond Standard Model (SM) and Einstein gravity and their geometric interpretation. The SM and Einstein gravity admit a natural embedding in Weyl integrable geometry which is a…

High Energy Physics - Theory · Physics 2024-01-12 D. M. Ghilencea , C. T. Hill

Here we follow the mainstream of thinking about physical equivalence of different representations of a theory, regarded as the consequence of invariance of the laws of physics -- represented by an action principle and the derived motion…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Israel Quiros , Roberto De Arcia

A description of scalar charged particles, based on the Feshbach-Villars formalism, is proposed. Particles are described by an object that is a Wigner function in usual coordinates and momenta and a density matrix in the charge variable. It…

Quantum Physics · Physics 2009-11-07 B. I. Lev , A. A. Semenov , C. V. Usenko

Some problems of cosmology: the big bang singularity, the origin of conventional matter, of dark matter and of dark energy may be successfully described and treated in the framework of the Weyl-Dirac theory. This theory, being a minimal…

General Relativity and Quantum Cosmology · Physics 2013-08-07 Mark Israelit

A primary goal of present and future colliders is measuring the Higgs couplings to Standard Model (SM) particles. Any observed deviation from the SM predictions for these couplings is a sign of new physics whose energy scale can be bounded…

High Energy Physics - Phenomenology · Physics 2021-07-13 Fayez Abu-Ajamieh , Spencer Chang , Miranda Chen , Markus A. Luty

We propose a new class of gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the spacetime manifold. For the matter we choose appropriate…

High Energy Physics - Theory · Physics 2015-07-23 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

This study investigates static charged black holes with Weyl corrections to the Einstein-Maxwell action. By extending the classical solutions, we incorporate the influence of the Weyl tensor coupling with the electromagnetic field tensor,…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Ahmad Al-Badawi , izzet Sakalli

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…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Daria-Ioana Visa , Tiberiu Harko , Shahab Shahidi

We investigate the collider phenomenology of the standard Hierarchical VEVs Model by proposing a new version, which avoids large flavor changing neutral current interactions, thus, rendering the scale of new physics as low as the…

High Energy Physics - Phenomenology · Physics 2026-01-21 Gauhar Abbas , Neelam Singh

Classical scale invariance is one of the possible solutions to explain the origin of the electroweak scale. The simplest extension is the classically scale-invariant standard model augmented by a multiplet of gauge singlet real scalar. In…

High Energy Physics - Phenomenology · Physics 2016-11-01 Kazuhiro Endo , Koji Ishiwata

A massless Weyl-invariant dynamics of a scalar, a Dirac spinor, and electromagnetic fields is formulated in a Weyl space, $W_4$, allowing for conformal rescalings of the metric and of all fields with nontrivial Weyl weight together with the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 W. Drechsler , H. Tann

We show that Weyl's abandoned idea of local scale invariance has a natural realization at the quantum level in pilot-wave (de Broglie-Bohm) theory. We obtain the Weyl covariant derivative by complexifying the electromagnetic gauge coupling…

Quantum Physics · Physics 2026-02-11 Indrajit Sen , Matthew Leifer

A scale invariant theory of gravity, containing at most two derivatives, requires, in addition to the Riemannian metric, a scalar field and (or) a gauge field. The gauge field is usualy used to construct the affine connection of Weyl…

High Energy Physics - Theory · Physics 2024-02-08 N. Mohammedi

Two Higgs doublet models with an additional pseudoscalar particle coupling to the Standard Model and to a new stable, neutral particle, provide an attractive and fairly minimal route to solving the problem of Dark Matter. They have been the…

High Energy Physics - Phenomenology · Physics 2021-03-24 J. M. Butterworth , M. Habedank , P. Pani , A. Vaitkus

We provide the full classification, in arbitrary even and odd dimensions, of global conformal invariants, i.e., scalar densities in the spacetime metric and its derivatives that are invariant, possibly up to a total derivative, under local…

Mathematical Physics · Physics 2019-07-05 Nicolas Boulanger , Jordan François , Serge Lazzarini

Supersymmetric extensions of the Standard Model have been in vogue for over half a century. They have many interesting theoretical properties like calculability, absence of quadratic divergences, and phenomenologically impactful features…

High Energy Physics - Phenomenology · Physics 2023-07-26 V. Suryanarayana Mummidi , Priyanka Lamba , Sudhir K. Vempati

The Weyl geometric gravity theory, in which the gravitational action is constructed from the square of the Weyl curvature scalar and the strength of the Weyl vector, has been intensively investigated recently. The theory admits a…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Mohsen Khodadi , Tiberiu Harko

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 involve a potential. This is dictated by the structure of…

High Energy Physics - Theory · Physics 2019-01-02 Pedro G. Ferreira , Christopher T. Hill , Graham G. Ross

This work explores the possibility of inflation in a scale-symmetric extension of the Standard Model Higgs sector, where the Higgs field $\phi_1$ is coupled to a singlet scalar, the dilaton $\phi_0$. The two-scalar theory is formulated…

High Energy Physics - Phenomenology · Physics 2026-04-01 Z. Lalak , P. Michalak

Consistency of Weyl natural gauge, Lorentz gauge and nonlinear gauge is studied in Weyl geometry. Field equations in generalized Weyl-Dirac theory show that spinless electron and photon are topological defects. Statistical metric and…

General Physics · Physics 2020-11-17 S. C. Tiwari
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