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We review recent results from studies of the dynamics of classical Yang-Mills fields on a lattice. We discuss the numerical techniques employed in solving the classical lattice Yang-Mills equations in real time, and present results…

Nuclear Theory · Physics 2008-11-26 T. S. Biro , C. Gong , B. Mueller , A. Trayanov

Yang-Mills gravity with translational gauge group T(4) in flat space-time implies a simple self-coupling of gravitons and a truly conserved energy-momentum tensor. Its consistency with experiments crucially depends on an interesting…

General Relativity and Quantum Cosmology · Physics 2011-04-20 Jong-Ping Hsu

A method for systematically including topological degrees of freedom in perturbation theory is developed. This is not bound by the restrictions of semi-classical techniques. The Yang-Mills theory in three Euclidean dimensions is considered…

High Energy Physics - Theory · Physics 2007-05-23 E. Harikumar , Indrajit Mitra , H. S. Sharatchandra

On example of the model field system we demonstrate that quantum fluctuations of non-abelian gauge fields leading to radiative corrections to Higgs potential and spontaneous symmetry breaking can generate order region in phase space of…

Chaotic Dynamics · Physics 2015-06-26 V. I. Kuvshinov , A. V. Kuzmin

Gravitational-wave tails are due to the backscattering of linear waves onto the space-time curvature generated by the total mass of the matter source. The dominant tails correspond to quadratic non-linear interactions and arise at the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Tanguy Marchand , Luc Blanchet , Guillaume Faye

Using noncommutative geometry we do U(1) gauge theory on the permutation group $S_3$. Unlike usual lattice gauge theories the use of a nonAbelian group here as spacetime corresponds to a background Riemannian curvature. In this background…

High Energy Physics - Theory · Physics 2015-06-25 Shahn Majid , E. Raineri

We study the perturbative unitarity of non-commutative quantum Yang-Mills theories, extending previous investigations on scalar field theories to the gauge case where non-locality mingles with the presence of unphysical states. We…

High Energy Physics - Theory · Physics 2010-02-03 A. Bassetto , L. Griguolo , G. Nardelli , F. Vian

This paper explores the hybridization of linear metric perturbations with linear electromagnetic (EM) perturbations in non-magnetized plasma for a general background metric. The local wave properties are derived from first principles for…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Deepen Garg , I. Y. Dodin

We perform a comprehensive numerical study of gravitational waves from stellar core collapse in the massive scalar-tensor theory with the cubic and quartic self-interactions of the scalar field. We investigate the dependence of…

General Relativity and Quantum Cosmology · Physics 2023-08-30 Naomichi Asakawa , Yuichiro Sekiguchi

In this paper we consider an $SU(2)$ Yang-Mills field propagating in the $4+1$ dimensional wormhole spacetime. Assuming the spherically symmetric magnetic ansatz the problem reduces to a one dimensional non linear wave equation. This…

Analysis of PDEs · Mathematics 2025-11-20 Michał Kowalczyk , Javier Monreal

Gravitational interactions of higher spin fields are generically plagued by inconsistencies. We present a simple framework that couples higher spins to a broad class of gravitational backgrounds (including Ricci flat and Einstein)…

High Energy Physics - Theory · Physics 2008-11-26 A. R. Gover , K. Hallowell , A. Waldron

We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Eugen Radu

The approach of metric-affine gravity initially distinguishes it from Einstein's general relativity. Using an independent affine connection produces a theory with 10+64 unknowns. We write down the Yang-Mills action for the affine connection…

General Relativity and Quantum Cosmology · Physics 2015-09-28 Vedad Pasic , Elvis Barakovic

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar

We study a gauge-invariant variational framework for the Yang-Mills vacuum wave functional. Our approach is built on gauge-averaged Gaussian trial functionals which substantially extend previously used trial bases in the infrared by…

High Energy Physics - Theory · Physics 2014-11-20 Hilmar Forkel

Commutative Yang-Mills theories in 1+1 dimensions exhibit an interesting interplay between geometrical properties and U(N) gauge structures: in the exact expression of a Wilson loop with $n$ windings a non trivial scaling intertwines $n$…

High Energy Physics - Theory · Physics 2009-11-07 A. Bassetto , G. Nardelli , A. Torrielli

We discuss the quantum mechanical description of a gravitational wave interacting with a cavity electromagnetic field. Quantum fluctuations of the gravitational vacuum induce squeezing in the optical field. Moreover, this squeezing…

Quantum Physics · Physics 2020-06-19 Thiago Guerreiro

The Einstein-Yang-Mills equations are the source of many interesting solutions within general relativity, including families of particle-like and black hole solutions, and critical phenomena of more than one type. These solutions,…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Daniel Jackson

On example of the model field system we demonstrate that quantum fluctuations of non-abelian gauge fields leading to radiative corrections to Higgs potential and spontaneous symmetry breaking can generate order region in phase space of…

High Energy Physics - Theory · Physics 2008-11-26 V. I. Kuvshinov , A. V. Kuzmin

We investigate the symmetry structure of the non-relativistic limit of Yang-Mills theories. Generalising previous results in the Galilean limit of electrodynamics, we discover that for Yang-Mills theories there are a variety of limits…

High Energy Physics - Theory · Physics 2016-05-04 Arjun Bagchi , Rudranil Basu , Ashish Kakkar , Aditya Mehra
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