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Related papers: Generalized SU(2) Proca theory reconstructed and b…

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We present new second derivative, generally covariant theories of gravity for spherically symmetric spacetimes (general covariance is in the $t-r$ plane) belonging to the class where the spherically symmetric Einstein-Hilbert theory is…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Rakesh Tibrewala

We show that any theory with second class constraints may be cast into a gauge theory if one makes use of solutions of the constraints expressed in terms of the coordinates of the original phase space. We perform a Lagrangian path integral…

High Energy Physics - Theory · Physics 2009-11-07 Igor Batalin , Robert Marnelius

We propose a reformulation of gravitation in which the gravitational interaction is treated as a genuine force rather than an inertial effect arising from spacetime geometry. Within this framework, the difference between the affine…

General Physics · Physics 2025-12-09 L. Horoto , F. G. Scholtz

We shall here discuss a new spacetime gauge-covariant Lagrangian formulation of General Relativity by means of the Barbero-Immirzi SU(2)-connection on spacetime. To the best of our knowledge the Lagrangian based on SU(2) spacetime fields…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Fatibene , M. Francaviglia , C. Rovelli

Covariant loop gravity comes out of the canonical analysis of the Palatini action and the use of the Dirac brackets arising from dealing with the second class constraints (``simplicity'' constraints). Within this framework, we underline a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Sergei Alexandrov , Etera R. Livine

A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant…

High Energy Physics - Theory · Physics 2009-12-10 Tim R. Morris

Pure SU(2) gauge theory is the simplest asymptotically free theory in four dimensions. To investigate Euclidean quantum gravity effects in a fundamental length scenario, we simulate 4$d$ SU(2) lattice gauge theory on a dynamically coupled…

High Energy Physics - Lattice · Physics 2009-10-22 Bernd A. Berg , Balasubramanian Krishnan , Mohammad Katoot

We consider a Horava theory that has a consistent structure of constraints and propagates two physical degrees of freedom. The Lagrangian includes the terms of Blas, Pujolas and Sibiryakov. The theory can be obtained from the general…

High Energy Physics - Theory · Physics 2014-02-04 J. Bellorin , A. Restuccia , A. Sotomayor

We analyze Regge quantum gravity coupled to SU(2) gauge theory on $4^3\times 2$, $6^{3}\times 4$ and $8^{3}\times 4$ simplicial lattices. It turns out that the window of the well-defined phase of the gravity sector where geometrical…

High Energy Physics - Lattice · Physics 2011-09-09 B. A. Berg , W. Beirl , B. Krishnan , H. Markum , J. Riedler

We present the results of a global analysis of a class of models with an extended electroweak gauge group of the form SU(2) x SU(2) x U(1), often denoted as G(221) models, which include as examples the left-right, the lepto-phobic, the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Ken Hsieh , Kai Schmitz , Jiang-Hao Yu , C. -P. Yuan

We present a systematic construction of the most general first order Lagrangian describing an arbitrary number of interacting Maxwell and Proca fields on Minkowski spacetime. To this aim, we first formalize the notion of a Proca field, in…

High Energy Physics - Theory · Physics 2020-02-26 Verónica Errasti Díez , Brage Gording , Julio A. Méndez-Zavaleta , Angnis Schmidt-May

Motivated by the GW170817/GRB170817A constraint on the deviation of the speed of gravitational waves from that of photons, we study disformal transformations of the metric in the context of the generalized Proca theory. The constraint…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Guillem Domènech , Shinji Mukohyama , Ryo Namba , Vassilis Papadopoulos

Previous work in the literature has studied the Hamiltonian structure of an R-squared model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. Within the framework of Dirac's theory, torsion is found to lead to a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Giampiero Esposito , Gabriele Gionti , Giuseppe Marmo , Cosimo Stornaiolo

The perspective that gravity may govern the unification of all elementary forces calls for extending the gauge-gravity symmetry $SL(2,C)$ to the broader local symmetry $SL(2N,C)$, where $N$ reflects the internal $SU(N)$ subgroup. This…

High Energy Physics - Theory · Physics 2025-10-01 J. L. Chkareuli

A modified formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The {\it free} Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full…

Mathematical Physics · Physics 2015-05-18 N. A. Gromov

We propose and study a new first order version of the ghost-free massive gravity. Instead of metrics or tetrads, it uses a connection together with Plebanski's chiral 2-forms as fundamental variables, rendering the phase space structure…

High Energy Physics - Theory · Physics 2014-09-04 Sergei Alexandrov , Kirill Krasnov , Simone Speziale

A second gradient generalization of Newtonian gravity is presented within the framework of gradient field theory. Weak nonlocality is introduced via first and second gradients of the gravitational field strength in the Lagrangian density.…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Markus Lazar

A gauge theory of second order in the derivatives of the auxiliary field is constructed following Utiyama's program. A novel field strength $G=\partial F+fAF$ arises besides the one of the first order treatment, $F=\partial A-\partial…

High Energy Physics - Theory · Physics 2011-07-19 R. R. Cuzinatto , C. A. M. de Melo , P. J. Pompeia

The utility of the U(1)$^3$ model as a test laboratory for quantum gravity has recently been emphasized in a recent series of papers due to Varadarajan et al. The simplification from SU(2) to U(1)$^3$ can be performed simply by hand within…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Sepideh Bakhoda , Thomas Thiemann

The study of generic, non-linear, deformations of Special Relativity parametrized by a high-energy scale $M$, which was carried out at first order in $M$ in Phys.Rev. D86, 084032 (2012), is extended to second order. This can be done…

High Energy Physics - Theory · Physics 2016-10-07 J. M. Carmona , J. L. Cortes , J. J. Relancio