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In the framework of a hamiltonian nonperturbative approach we show that after demanding current conservation together with the Gauss constraints at some initial time in a nonabelian Nambu model, we recover the corresponding Yang-Mills…

High Energy Physics - Phenomenology · Physics 2016-07-13 L. F. Urrutia

An action for a massless graviton interacting with a massive tensor field is proposed. The model is based on coupling the metric tensor to an SP(4) gauge theory spontaneously broken to $SL(2,C)$. The symmetry breaking is achieved by using a…

High Energy Physics - Theory · Physics 2016-09-06 Ali H. Chamseddine

We study spontaneous supersymmetry breaking in inhomogeneous extensions of ${\cal N}=1$ supersymmetric field theory models in 4-dimensions. The ${\cal N}=1$ Abelian Higgs model with the inhomogeneous mass parameter and the FI coefficient…

High Energy Physics - Theory · Physics 2023-10-10 Yoonbai Kim , O-Kab Kwon , D. D. Tolla

We consider real and complex scalar fields non-minimally coupled to gravity in the bulk spacetime and study their impact on the brane upon acquiring a non-vanishing vacuum expectation value. When examining the case of the complex scalar…

High Energy Physics - Theory · Physics 2008-11-26 Orfeu Bertolami , Carla Carvalho

If Lorentz symmetry is broken, it must have occurred dynamically, via a vector or tensor field whose potential energy forces it to take on a non-zero background expectation value "in vacuum". If the set of minima of this potential (the…

High Energy Physics - Theory · Physics 2017-08-23 Michael D. Seifert

It has been known for some time that General Relativity can be regarded as a Yang-Mills-type gauge theory in a symmetry broken phase. In this picture the gravity sector is described by an $SO(1,4)$ or $SO(2,3)$ gauge field…

General Relativity and Quantum Cosmology · Physics 2015-06-12 H. F. Westman , T. G. Zlosnik

We argue that in an inflationary cosmology a consequence of the lack of time translational invariance is that spontaneous breaking of a continuous symmetry and Goldstone's theorem \emph{do not} imply the existence of \emph{massless}…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-12 Daniel Boyanovsky

We introduce gravity theories featuring spontaneously growing gauge fields where the growth is due to the Higgs mechanism. The underlying physics is inspired by the spontaneous scalarization phenomena in scalar-tensor theories. The…

General Relativity and Quantum Cosmology · Physics 2019-10-08 Fethi M Ramazanoğlu

In this work, we study a vector model of spontaneous spacetime-symmetry breaking coupled to gravity: the bumblebee model. The primary focus is on static spherically symmetric solutions. Complementing previous work on black hole solutions,…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Quentin G. Bailey , Hailey S. Murray , Dario T. Walter-Cardona

The Higgs mechanism predicts, apart from the existence of a new scalar boson, the presence of a constant Higgs field that permeates all of space. The vacuum expectation value (VEV) of this field is affected by quantum corrections which are…

High Energy Physics - Phenomenology · Physics 2016-11-21 Franco D. Albareti , Antonio L. Maroto , Francisco Prada

The local Lorentz and diffeomorphism symmetries of Einstein's gravitational theory are spontaneously broken by a Higgs mechanism by invoking a phase transition in the early Universe, at a critical temperature $T_c$ below which the symmetry…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. W. Moffat

In this work, we investigate a theory of linear Weyl gravity coupled to a scalar field and study the scenario in which Lorentz symmetry is broken by a non-vanishing vacuum expectation value of the Weyl field in the flat space limit after…

High Energy Physics - Theory · Physics 2022-10-11 Feng Wu

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…

High Energy Physics - Theory · Physics 2016-12-21 J. L. Chkareuli , Z. Kepuladze

In this paper we investigate the canonical quantization of a non-Abelian topologically massive Chern-Simons theory in which the gauge fields are minimally coupled to a multiplet of scalar fields in such a way that the gauge symmetry is…

High Energy Physics - Theory · Physics 2016-09-06 Lusheng Chen , Gerald Dunne , Kurt Haller , Edwin Lim-Lombridas

We investigate some quantum features of the bumblebee electrodynamics in flat spacetimes. The bumblebee field is a vector field that leads to a spontaneous Lorentz symmetry breaking. For a smooth quadratic potential, the massless excitation…

High Energy Physics - Theory · Physics 2015-08-18 R. V. Maluf , J. E. G. Silva , C. A. S. Almeida

We investigated the effects of the spacetime curvature and extra dimensions on the excitations of a self-interacting vector field known as the bumblebee field. The self-interacting quadratic potential breaks the gauge invariance and the…

High Energy Physics - Theory · Physics 2021-12-20 L. A. Lessa , J. E. G. Silva , C. A. S. Almeida

It is shown that nonlinear terms in equations of gravitons on the background of curved space-time of the expanding Universe can solve the problem of the negative square of the effective mass formally arising in linear approximation for…

General Relativity and Quantum Cosmology · Physics 2010-10-12 A. A. Grib , V. Yu. Dorofeev

Within the framework of the spontaneous Lorentz symmetry breaking, we consider a metric--affine generalization of the gravitational sector of the Standard--Model Extension (SME), including the Lorentz--violating (LV) coefficients $u$ and…

General Relativity and Quantum Cosmology · Physics 2024-07-03 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

Lorentz-Violating (LV) scenario gets involved through a bumblebee field vector field $B_\mu$. A spontaneous symmetry breaking allows the field to acquires a vacuum expectation value that generates LV into the system. A Kerr-Sen-like…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Sohan Kumar Jha , Anisur Rahaman

Spontaneous symmetry breaking occurs when the underlying laws of a physical system are symmetric, but the vacuum state chosen by the system is not. The (3+1)d $\phi^4$ theory is relatively simple compared to other more complex theories,…

High Energy Physics - Theory · Physics 2024-01-24 Chen-Te Ma , Yiwen Pan , Hui Zhang