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The uniqueness theorems for general relativity and Yang-Mills theories can be circumvented by dropping the ubiquitous, yet often implicit, assumption that physical fields, such as the spacetime metric, are fundamental. The novel concept of…

广义相对论与量子宇宙学 · 物理学 2025-07-23 Erick I. Duque

The Yang-Mills theory associated with the restricted Lorentz group is revisited as a candidate for a theory of gravity. This is a natural idea because the principle of equivalence of gravitation and inertia suggests to introduce locally…

广义相对论与量子宇宙学 · 物理学 2020-06-01 Hans Christian Öttinger

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing…

广义相对论与量子宇宙学 · 物理学 2008-11-26 H. Dehnen , E. Hitzer

A gauge theory of the Lorentz group with a mass-dimension one gauge field coupling to matter of any spin is developed. As a completely new feature the "Vierbein" assuring local gauge invariance enters not as an independent dynamical field,…

广义相对论与量子宇宙学 · 物理学 2019-03-05 C. Wiesendanger

We consider a class of Lorentz gauge gravity theories within Riemann-Cartan geometry which admits a topological phase in the gravitational sector. The dynamic content of such theories is determined only by the contortion part of the Lorentz…

广义相对论与量子宇宙学 · 物理学 2012-04-12 D. G. Pak , Youngman Kim , Takuya Tsukioka

We give a derivation of general relativity and the gauge principle that is novel in presupposing neither spacetime nor the relativity principle. We consider a class of actions defined on superspace with two key properties. The first is…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Julian Barbour , Brendan Foster , Niall Ó Murchadha

The nonlinear affine Goldstone model of the emergent gravity, built on the nonlinearly realized/hidden affine symmetry, is concisely revisited. Beyond General Relativity, the explicit violation of general invariance/relativity, under…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Yu. F. Pirogov

We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the function valued Dirac matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$. After symmetry breaking a non-scalar…

广义相对论与量子宇宙学 · 物理学 2013-06-11 H. Dehnen , E. Hitzer

Gravity stands out among the fundamental interactions because of its apparent incompatibility with having a quantum description. Moreover, thermodynamic aspects of gravitation theory appears as puzzling features of some classical solutions…

广义相对论与量子宇宙学 · 物理学 2009-09-29 Stefano Liberati , Florian Girelli , Lorenzo Sindoni

In this letter we reconsider the role of Lorentz invariance in the dynamical generation of the observed internal symmetries. We argue that, generally, Lorentz invariance can only be imposed in the sense that all Lorentz non-invariant…

高能物理 - 唯象学 · 物理学 2008-11-26 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

Many effective field theories describing gravity cannot arise from an underlying theory based on Riemann geometry or its extensions to include torsion and nonmetricity but may instead emerge from another geometry or may have a nongeometric…

广义相对论与量子宇宙学 · 物理学 2021-08-25 Alan Kostelecky , Zonghao Li

Effective gravitational field theories with background fields break local Lorentz symmetry and diffeomorphism invariance. Examples include Chern-Simons gravity, massive gravity, and the Standard-Model Extension (SME). The physical…

广义相对论与量子宇宙学 · 物理学 2016-01-05 Robert Bluhm

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose (4+d)-dimensional gravitational action contains terms proportional to quadratic curvature scalars.…

广义相对论与量子宇宙学 · 物理学 2018-09-05 Carsten van de Bruck , Chris Longden

We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in…

高能物理 - 理论 · 物理学 2009-08-11 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

The equation of motion for test particles in $f(R)$ modified theories of gravity is derived. By considering an explicit coupling between an arbitrary function of the scalar curvature, $R$, and the Lagrangian density of matter, it is shown…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Orfeu Bertolami , Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

The interaction of matter with gravity in two dimensional spacetimes can be supplemented with a geometrical force analogous to a Lorentz force produced on a surface by a constant perpendicular magnetic field. In the special case of constant…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Daniel Cangemi

We argue that extra dimensions with a properly chosen compactification scheme could be a natural source for emergent gauge symmetries. Actually, some proposed vector field potential terms or polynomial vector field constraints introduced in…

高能物理 - 理论 · 物理学 2016-12-21 J. L. Chkareuli , Z. Kepuladze

Effective field theories describing gravity coupled to matter are investigated, allowing for operators of arbitrary mass dimension. Terms violating local Lorentz and diffeomorphism invariance while preserving internal gauge symmetries are…

广义相对论与量子宇宙学 · 物理学 2021-02-03 Alan Kostelecky , Zonghao Li

Under carefully chosen assumptions a single general relativistic scalar field is able to induce MOND-like dynamics in the weak field approximation of the Einstein frame (gauge) and to modify the light cone structure accordingly. This is…

广义相对论与量子宇宙学 · 物理学 2025-12-10 Erhard Scholz

We investigate a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the…

广义相对论与量子宇宙学 · 物理学 2015-05-13 Alan Kostelecky , Robertus Potting
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