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We reformulate the self-dual Einstein equation as a trio of differential form equations for simple two-forms. Using them, we can quickly show the equivalence of the theory and 2D sigma models valued in an infinite-dimensional group, which…

High Energy Physics - Theory · Physics 2009-10-28 Tatsuya Ueno

Quantization of Free Fields: The non-interacting field belonging to a new {\bf SO(1,3)\/} gauge field theory equivalent to General Relativity is canonically quantized in the Lorentz gauge and the physical Fock space for free gauge particles…

High Energy Physics - Theory · Physics 2019-05-20 C Wiesendanger

Motivated by the ideas of Jacob Bekenstein concerning gravity-assisted symmetry breaking, we consider a non-canonical model of f(R)=R+R^2 extended gravity coupled to neutral scalar "inflaton", as well as to SU(2)xU(1) multiplet of fields…

General Relativity and Quantum Cosmology · Physics 2018-04-24 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

We consider a diffeomorphism invariant theory of a gauge field valued in a Lie algebra that breaks spontaneously to the direct sum of the spacetime Lorentz algebra, a Yang-Mills algebra, and their complement. Beginning with a fully gauge…

General Relativity and Quantum Cosmology · Physics 2015-03-17 A. Garrett Lisi , Lee Smolin , Simone Speziale

Presented is a quantum gravity theory that is a quantum mechanical generalization of Einstein's vierbein field-based approach, where the classical metric tensor field is promoted to a quantum mechanical metric tensor field operator. The…

General Relativity and Quantum Cosmology · Physics 2019-08-02 Jeffrey Yepez

A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group $SL(2,C)$, while linearly realizing them on $SU(2)$.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

Combining the semi-classical localization mechanism for gauge fields with $N$ domain wall background in a simple $SU(N)$ gauge theory in five space-time dimensions we investigate the geometric Higgs mechanism, where a spontaneous breakdown…

High Energy Physics - Theory · Physics 2019-12-06 Masato Arai , Filip Blaschke , Minoru Eto , Norisuke Sakai

We discuss a quantization of the Yang--Mills theory with an internal symmetry group $SO(1,n)$ treated as a unified theory of all interactions. In one-loop calculations, we show that Einstein gravity can be considered as an approximation to…

High Energy Physics - Theory · Physics 2025-08-28 Zbigniew Haba

Gauge coupling unification and the stability of the Higgs vacuum are among two of the cherished features of low-energy supersymmetric models. Putting aside questions of naturalness, supersymmetry might only be realised in nature at very…

High Energy Physics - Phenomenology · Physics 2018-09-19 Sebastian A. R. Ellis , Tony Gherghetta , Kunio Kaneta , Keith A. Olive

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

A quadratic Leibniz algebra $(\mathbb{V},[ \cdot, \cdot ],\kappa)$ gives rise to a canonical Yang-Mills type functional $S$ over every space-time manifold. The gauge fields consist of 1-forms $A$ taking values in $\mathbb{V}$ and 2-forms…

High Energy Physics - Theory · Physics 2019-06-26 Thomas Strobl

We first derive a class of six-dimensional (1,0) gauged supergravities arising from threefold compactifications of F-theory with background fluxes. The derivation proceeds via the M-theory dual reduction on an SU(3)-structure manifold with…

High Energy Physics - Theory · Physics 2015-06-15 Thomas W. Grimm , Tom G. Pugh

We present in detail a four-dimensional unified quantum theory. In this theory, we identify three class of parameters, coordinate-momentum, spin and gauge, as all and as the only fundamental parameters to describe quantum fields. The…

General Physics · Physics 2009-11-23 Chang-Yu Zhu , Heng Fan

We explore a novel way of deriving the effective Higgs Lagrangian from strongly interacting vector-like gauge theories. We consider the N=1 supersymmetric extension of gauge theories and interpret the auxiliary field associated with the low…

High Energy Physics - Theory · Physics 2007-05-23 N. Kitazawa , F. Sannino

We discuss a variation of quadratic gravity in which the gravitational interaction remains weakly coupled at all energies, but is assisted by a Yang-Mills gauge theory which becomes strong at the Planck scale. The Yang-Mills interaction is…

High Energy Physics - Theory · Physics 2018-06-20 John F. Donoghue , Gabriel Menezes

From pure Yang-Mills action for the $SL(5,\mathbb{R})$ group in four Euclidean dimensions we obtain a gravity theory in the first order formalism. Besides the Einstein-Hilbert term, the effective gravity has a cosmological constant term, a…

High Energy Physics - Theory · Physics 2017-10-26 T. S. Assimos , A. D. Pereira , T. R. S. Santos , R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

We study an exactly marginal deformation of N=4 SUSY Yang-Mills with gauge group U(N) using field theory and string theory methods. The classical theory has a Higgs branch for rational values of the deformation parameter. We argue that the…

High Energy Physics - Theory · Physics 2008-11-26 Nick Dorey

We quantize the interaction of gravity with Yang-Mills and spinor fields, hence offering a quantum theory incorporating all four fundamental forces of nature. Using canonical quantization we obtain solutions of the Wheeler-DeWitt equation…

Mathematical Physics · Physics 2014-03-25 Claus Gerhardt

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

In this note we investigate the impact of some "new-physics", beyond the electro-weak Standard Model of elementary particles, on the Higgs vacuum. We consider both un-particle and quantum gravity induced effects. We find that even if the…

High Energy Physics - Theory · Physics 2012-11-29 Patricio Gaete , Euro Spallucci