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We study the equations of Wheeler-Feynman electrodynamics which is an action-at-a-distance theory about world-lines of charges that interact through their corresponding advanced and retarded Li\'enard-Wiechert field terms. The equations are…

Mathematical Physics · Physics 2011-08-10 G. Bauer , D. -A. Deckert , D. Dürr

We consider a U(2) Yang-Mills theory on M x S_F^2 where M is a Riemannian manifold and S_F^2 is the fuzzy sphere. Using essentially the representation theory of SU(2) we determine the most general SU(2)-equivariant gauge field on M x S_F^2.…

High Energy Physics - Theory · Physics 2009-08-11 Derek Harland , Seckin Kurkcuoglu

In the context of a growing interdisciplinary interest in the angular momentum of wave fields, the spin-wave case has yet to be fully explored, with the extensively studied notion of spin transport being only part of the broader picture.…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Thierry Valet , Kei Yamamoto , Benjamin Pigeau , Grégoire de Loubens , Olivier Klein

This paper discusses in a systematical way exact retarded solutions to the classical SU(N) Yang-Mills equations with the source composed of several colored point particles. A new method of finding such solutions is reviewed. Relying on…

High Energy Physics - Theory · Physics 2009-10-31 B. P. Kosyakov

We present an analytical continuum calculation, starting from first principles, of the vacuum wavefunction and string tension for pure Yang-Mills theories in $(2+1)$ dimensions, extending our previous analysis using gauge-invariant matrix…

High Energy Physics - Theory · Physics 2009-10-31 D. Karabali , C. Kim , V. P. Nair

Relying on an effective-string approach in which glueballs --- bound states of pure Yang-Mills theory --- are modelled by closed strings, we give arguments suggesting that anyonic glueballs, \textit{i.e.} glueballs with arbitrary spin, may…

High Energy Physics - Theory · Physics 2016-02-02 Fabien Buisseret , Nicolas Boulanger

We construct new axially symmetric solutions of SU(2) Yang-Mills theory in a four dimensional anti-de Sitter spacetime. Possessing nonvanishing nonabelian charges, these regular configurations have also a nonzero angular momentum. Numerical…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Eugen Radu

Working in a Hamiltonian formulation with $A_0 = 0$ gauge and also in a path integral formulation, we show that the vacuum wave functional of four-dimensional pure Yang-Mills theory has the form of the exponential of a {\it…

High Energy Physics - Theory · Physics 2009-10-30 Miyuki Kawamura , Kayoko Maeda , Makoto Sakamoto

The energy density and angular distribution of power radiated by a quark undergoing circular motion in strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory is computed using gauge/gravity duality. The results are…

High Energy Physics - Theory · Physics 2011-02-01 Christiana Athanasiou , Paul M. Chesler , Hong Liu , Dominik Nickel , Krishna Rajagopal

SU(2) Yang-Mills Theory coupled to massive adjoint scalar matter is studied in (1+1) dimensions using Discretised Light-Cone Quantisation. This theory can be obtained from pure Yang-Mills in 2+1 dimensions via dimensional reduction. On the…

High Energy Physics - Theory · Physics 2009-10-28 Alex C. Kalloniatis

On conformally compact manifolds we study Yang-Mills equations, their boundary conditions, formal asymptotics, and Dirichlet-to-Neumann maps. We find that smooth solutions with "magnetic" Dirichlet boundary data are obstructed by a…

Differential Geometry · Mathematics 2024-03-18 A. Rod Gover , Emanuele Latini , Andrew Waldron , Yongbing Zhang

The set of all possible spherically symmetric magnetic static Einstein-Yang-Mills field equations for an arbitrary compact semi-simple gauge group $G$ was classified in two previous papers. Local analytic solutions near the center and a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd A. Oliynyk , H. P. Kunzle

In this paper, using the Newman-Penrose formalism, we find the Maxwell equations in NUT space and after separation into angular and radial components solve them analytically. All the angular equations are solved in terms of Jaccobi…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mohammad Nouri-Zonoz

In this thesis, several aspects of Yang-Mills theory are studied. It begins with the constrained quantization in the Coulomb gauge, using the Dirac bracket formalism. A nonperturbative analysis of the infrared asymptotics of propagators in…

High Energy Physics - Theory · Physics 2008-09-10 W. Schleifenbaum

We investigated numerically dyon-like solutions of the SU(2) Einstein-Yang-Mills system on a cylindrically symmetric space time with a cosmological constant. We find a new kind of behaviour not found in the spherically symmetric models. For…

Mathematical Physics · Physics 2007-05-23 Reinoud J. Slagter

The symmetric and gauge-invariant energy-momentum tensors for source-free Maxwell and Yang-Mills theories are obtained by means of translations in spacetime via a systematic implementation of Noether's theorem. For the source-free neutral…

High Energy Physics - Theory · Physics 2011-11-10 Merced Montesinos , Ernesto Flores

In general, Maxwell's equations require that a wave of magnetic field be accompanied by a wave of electric field, and vice versa. In magnetic media it is possible to have waves of magnetization with negligible electric field. We discuss an…

Classical Physics · Physics 2007-05-23 Kirk T. McDonald

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

We solve exactly the Dyson-Schwinger equations for Yang-Mills theory in 3 and 4 dimensions. This permits us to obtain the exact correlation functions till order 2. In this way, the spectrum of the theory is straightforwardly obtained and…

High Energy Physics - Phenomenology · Physics 2018-05-09 Marco Frasca

Gauge theory is the foundation of the particle physics Standard Model (SM). Considering the multiple gauge sectors for one gauge transformation, we study the generalized Abelian and non-Abelian (Yang-Mills theory) gauge theories. We first…

High Energy Physics - Phenomenology · Physics 2018-08-15 Tianjun Li