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It is presented the general method that allows to formulate 4D $SU(N)$ Yang - Mills theory in terms of only local gauge invariant variables. For the case N=2, that is discussed in details, this gauge invariant formulation appears to be very…

High Energy Physics - Theory · Physics 2011-07-19 F. A. Lunev

We construct the covariant nonlocal action for recently suggested long-distance modifications of gravity theory motivated by the cosmological constant and cosmological acceleration problems. This construction is based on the special…

High Energy Physics - Theory · Physics 2015-06-26 A. O. Barvinsky

A Yang-Mills type gauge theory of gravity is shown to have a structure richer than that of Einstein's General Theory of Relativity. By elevating the full connections to independent dynamical gauge fields, the theory admits non-trivial…

General Physics · Physics 2026-04-01 Yi Yang , Wai Bong Yeung

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…

General Relativity and Quantum Cosmology · Physics 2020-06-01 Hans Christian Öttinger

The strongest version of the gauge/gravity duality conjecture relates the 1/N correction in super Yang-Mills theory and the quantum correction in superstring theory. We perform a quantitative test of this conjecture at finite temperature,…

High Energy Physics - Theory · Physics 2016-01-20 Masanori Hanada

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…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Jack Gegenberg , Gabor Kunstatter

A systematic study of the Weyl-type / Yang-Mills-type action possessing local conformal invariance and quadratic curvature is undertaken. The dynamical breaking of this conformal invariance / scale invariance induces general relativity (GR)…

General Physics · Physics 2016-09-01 O. F. Akinto , Farida Tahir

In the standard formulation of relativistic quantum field theory, a $\mathbb{Z}_2$-graded structure is assumed to realize locality and the boson-fermion dichotomy. While $\mathbb{Z}_2^n$-graded extensions are known to be allowed at the…

High Energy Physics - Theory · Physics 2026-04-29 Ren Ito , Akio Nago , Shou Tanigawa

We construct a new covariant action for "flat" self-dual gravity in four spacetime dimensions. The action has just one term, but when expanded around an appropriate background gives rise to a kinetic term and a cubic interaction. Upon…

High Energy Physics - Theory · Physics 2022-01-19 Kirill Krasnov , Evgeny Skvortsov

We reinterpret the Faddeev-Popov gauge-fixing procedure of Yang-Mills theories as the definition of a topological quantum field theory for gauge group elements depending on a background connection. This has the advantage of relating…

High Energy Physics - Theory · Physics 2008-11-26 Laurent Baulieu , Martin Schaden

We define a discrete gauge-invariant Yang-Mills-Higgs action on spacetime simplicial meshes. The formulation is a generalization of classical lattice gauge theory, and we prove consistency of the action in the sense of approximation theory.…

Mathematical Physics · Physics 2015-12-07 Tore Gunnar Halvorsen , Torquil Macdonald Sørensen

Coadjoint orbits of the Virasoro and Kac-Moody algebras provide geometric actions for matter coupled to gravity and gauge fields in two dimensions. However, the Gauss' law constraints that arise from these actions are not necessarily…

High Energy Physics - Theory · Physics 2009-10-28 V. G. J. Rodgers

A manifestly Lorentz invariant effective action for Yang-Mills theory depending only on commuting fields is constructed. This action posesses a bosonic symmetry, which plays a role analogous to the BRST symmetry in the standard formalism.

High Energy Physics - Theory · Physics 2009-10-31 A. A. Slavnov

A twisted covariant formulation of noncommutative self-dual gravity is presented. The formulation for constructing twisted noncommutative Yang-Mills theories is used. It is shown that the noncommutative torsion is solved at any order of the…

High Energy Physics - Theory · Physics 2008-12-30 S. Estrada-Jimenez , H. Garcia-Compean , O. Obregon , C. Ramirez

From a gauge $SU(2,2|2)$ model with broken supersymmetry, we construct an action for $SU(2)\times U(1)$ Yang-Mills theory coupled to gravity and matter. The connection components for AdS boosts and special conformal translations are…

High Energy Physics - Theory · Physics 2020-08-26 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli

The functional approach to Coulomb gauge Yang-Mills theory is considered within the standard, second order, formalism. The Dyson-Schwinger equations and Slavnov-Taylor identities concerning the two-point functions are derived explicitly and…

High Energy Physics - Theory · Physics 2008-11-26 Peter Watson , Hugo Reinhardt

The unified theory of string and two-dimensional quantum gravity is considered. The action for two-dimensional gravity is choosen in a well-known induced form and thus gravity posesses it's oun nontrivial dynamics even on the classical…

High Energy Physics - Theory · Physics 2007-05-23 I. L. Buchbinder , I. L. Shapiro , A. G. Sibiryakov

In this paper using the Clifford bundle formalism a Lagrangian theory of the Yang-Mills type (with a gauge fixing term and an auto interacting term) for the gravitational field in Minkowski spacetime is presented. It is shown how two simple…

Mathematical Physics · Physics 2009-06-23 Eduardo A. Notte-Cuello , Waldyr A. Rodrigues

We revisit Weyl's metrication (geometrization) of electromagnetism. We show that by making Weyl's proposed geometric connection be pure imaginary, not only are we able to metricate electromagnetism, an underlying local conformal invariance…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Philip D. Mannheim

Some nonperturbative aspects of Euclidean Yang-Mills theories in four dimensions, quantized in the Landau gauge, are analytically studied. In particular, we investigate the dynamical mass generation for the gluons due to the presence of…

High Energy Physics - Theory · Physics 2007-05-30 R. F. Sobreiro