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The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with…

高能物理 - 理论 · 物理学 2014-11-18 Eckehard W. Mielke

A rigorous \textit{ab initio} derivation of the (square of) Dirac's equation for a single particle with spin is presented. The general Hamilton-Jacobi equation for the particle expressed in terms of a background Weyl's conformal geometry is…

量子物理 · 物理学 2011-07-19 Enrico Santamato , Francesco De Martini

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

A Weyl invariant extension of Einstein gravity is studied. It simply consists in the group averaging of Einstein's action under Weyl transformations. Contradicting cherished beliefs, a conformal anomaly is found in the trace of the…

高能物理 - 理论 · 物理学 2013-11-14 Enrique Alvarez , Mario Herrero-Valea

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…

广义相对论与量子宇宙学 · 物理学 2018-06-15 Meir Shimon

We consider the possibility of a gravitationally induced particle production through the mechanism of a nonminimal curvature-matter coupling. An interesting feature of this gravitational theory is that the divergence of the energy-momentum…

广义相对论与量子宇宙学 · 物理学 2015-08-31 Tiberiu Harko , Francisco S. N. Lobo , José P. Mimoso , Diego Pavón

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 theory up to energies of the order of the Planck mass. In the…

高能物理 - 理论 · 物理学 2023-07-24 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

广义相对论与量子宇宙学 · 物理学 2014-04-15 Ryan N. Lang

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

In modeling relativistic thermodynamics, we frequently regard the particle number as a conserved quantity. The number conservation law, which comes from the requirement that the pull-back construction from fluid-matter 3-space has the same…

广义相对论与量子宇宙学 · 物理学 2022-09-26 Hyeong-Chan Kim

A relativistic kinetic description for the irreversible thermodynamic process of gravitationally induced particle production is proposed in the context of an expanding Friedmann-Robertson-Walker (FRW) geometry. We show that the covariant…

广义相对论与量子宇宙学 · 物理学 2014-11-25 J. A. S. Lima , I. P. Baranov

Gravitation and the standard model of particle physics are incorporated within a single conformal scalar-tensor theory, where the scalar field is complex. The Higgs field has a dynamical expectation value, as has the Planck mass, but the…

广义相对论与量子宇宙学 · 物理学 2017-03-24 Meir Shimon

A scenario for gravitational particle creation in a stiff matter dominated flat Friedmann-Robertson-Walker universe is presented. The primary creation of scalar particles is calculated using quantum field theory in curved spacetime and it…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Juho Lankinen , Iiro Vilja

We consider a Yang-Mills type gauge theory of gravity based on the conformal group SO(4,2) coupled to a conformally invariant real scalar field. The goal is to generate fundamental dimensional constants via spontaneous breakdown of the…

广义相对论与量子宇宙学 · 物理学 2024-11-08 Jack Gegenberg , Gabor Kunstatter

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…

高能物理 - 理论 · 物理学 2019-01-02 Pedro G. Ferreira , Christopher T. Hill , Graham G. Ross

This research is an extension of the author's article \cite{zar}, in which conformally invariant generalization of string theory was suggested to higher-dimensional objects. Special cases of the proposed theory are Einstein's theory of…

广义相对论与量子宇宙学 · 物理学 2014-10-13 Farkhat Zaripov

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…

高能物理 - 理论 · 物理学 2015-08-26 Ariel Edery , Yu Nakayama

The dynamics of "dipolar particles", i.e. particles endowed with a four-vector mass dipole moment, is investigated using an action principle in general relativity. The action is a specific functional of the particle's world line, and of the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luc Blanchet

Our formalism described recently in (Dolby et al, hep-th/0103228) is applied to the study of particle creation in spatially uniform electric fields, concentrating on the cases of a time-invariant electric field and a so-called `adiabatic'…

高能物理 - 理论 · 物理学 2015-06-26 Carl E. Dolby , Stephen F. Gull

Using spectral regularisation, we compute the Weyl anomaly and express the anomaly generating functional of the quantum effective action through a collective scalar degree of freedom of all quantum vacuum fluctuations. Such a formulation…

高能物理 - 理论 · 物理学 2015-06-18 Max A. Kurkov , Mairi Sakellariadou