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We discuss the construction of the physical configuration space for Yang-Mills quantum mechanics and Yang-Mills theory on a cylinder. We explicitly eliminate the redundant degrees of freedom by either fixing a gauge or introducing gauge…

High Energy Physics - Theory · Physics 2009-10-31 T. Pause , T. Heinzl

We show that requiring sixteen supersymmetries in quantum mechanical gauge theory implies the existence of a web of constrained interactions. Contrary to conventional wisdom, these constraints extend to arbitrary orders in the momentum…

High Energy Physics - Theory · Physics 2008-11-26 Savdeep Sethi

We construct actions for four dimensional noncommutative Yang-Mills theory with star-gauge symmetry, with non-constant noncommutativity, to all orders in the noncommutativity. Our construction covers all noncommutative spaces corresponding…

High Energy Physics - Theory · Physics 2023-05-26 Tim Meier , Stijn J. van Tongeren

Scaling behavior in the moduli space of monopole and dyon solutions in the Einstein-Yang-Mills theory in the asymptotically anti-de Sitter space is derived. The mass of monopoles and dyons scales with respect to their magnetic and electric…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yutaka Hosotani

We study a discretization of ${\cal N}=2$ super Yang-Mills theory which possesses a single exact supersymmetry at non-zero lattice spacing. This supersymmetry arises after a reformulation of the theory in terms of {\it twisted} fields. In…

High Energy Physics - Lattice · Physics 2010-10-27 Simon Catterall

We recast the quaternionic Gursey-Tze solution, which is a fourfold quasi-periodic self-dual Yang-Mills field with a unit instanton number per Euclidean spacetime cell, into an ordinary coordinate formulation. After performing the sum in…

High Energy Physics - Theory · Physics 2016-09-06 Serdar Nergiz , Cihan Saclioglu

Motivated by Abelian dominance, we suppose that the field strength tensor in the low energy limit of the SU(2) Yang-Mills theory is $ G_{\mu\nu}=G_{\mu\nu} n $, where $ G_{\mu\nu} $ is a space-time tensor and $ n $ is a unit vector field…

High Energy Physics - Theory · Physics 2013-01-11 S. Deldar , A. Mohamadnejad

We consider the maximal super-Yang-Mills theory in 5 Euclidean dimensions with SO(5) R-symmetry and 16 supersymmetries. We argue that the strong coupling limit of this theory (with a possible UV completion) has an emergent time dimension…

High Energy Physics - Theory · Physics 2015-06-19 C. M. Hull , N. Lambert

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge…

High Energy Physics - Theory · Physics 2009-11-07 Chandrashekar Devchand , Jean Nuyts

We investigate 't Hooft-Mandelstam monopoles in QCD in the presence of a single classical instanton configuration. The solution to the Maximal Abelian projection is found to be a circular monopole trajectory with radius $R$ centered on the…

High Energy Physics - Theory · Physics 2014-11-18 Richard C. Brower , Kostas N. Orginos , Chung-I Tan

In the framework of Einstein-Yang-Mills theories, we study the gauge Lorentz group and establish a particular correspondence between this case and a certain class of theories with torsion within Riemann-Cartan space-times. This relation is…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Jose A. R. Cembranos , Jorge Gigante Valcarcel

We consider an Einstein-Yang-Mills Lagrangian in a five dimensional space-time including a cosmological constant. Assuming all fields to be independent of the extra coordinate, a dimensional reduction leads to an effective (3+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-19 Betti Hartmann , Yves Brihaye , Bruno Bertrand

In this paper, we show the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory even in absence of scalar fields when the gauge-invariant mass term is introduced. This result follows from the recent proposal for obtaining…

High Energy Physics - Theory · Physics 2019-12-06 Shogo Nishino , Ryutaro Matsudo , Matthias Warschinke , Kei-Ichi Kondo

We study the twistor formulation of the classical N=4 super Yang-Mills theory on the quadric submanifold of CP(3|3) X CP(3|3). We reformulate the twistor equations in six dimension, where the superconformal symmetry is manifest, and find a…

High Energy Physics - Theory · Physics 2010-04-05 Annamaria Sinkovics , Erik Verlinde

Using methods of differential geometry, a discrete analog of the Yang-Mills equations in Minkowski space is constructed. The gauge transformation law in a discrete formulation is given and gauge invariance of discrete Yang-Mills equations…

Mathematical Physics · Physics 2007-05-23 Volodymyr Sushch

The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , P. K. Townsend

A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the…

High Energy Physics - Theory · Physics 2009-10-31 Sergei V. Shabanov

This report provides a geometrical Yang-Mills theory, including gravity. The theory treats the space-time symmetry of the local Lorentz group in the same manner as the internal gauge symmetry. We extend this general relativistic Yang-Mills…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Yoshimasa Kurihara

In this paper, we will analyse the superloop space formalism for a four dimensional supersymmetric Yang-Mills theory in deformed superspace. We will deform the $\mathcal{N} =1$ superspace by imposing non-anticommutativity. This…

High Energy Physics - Theory · Physics 2015-10-06 Mir Faizal , Tsou Sheung Tsun

It is known that monopoles can be confined by vortex-strings in d=3+1 while vortices can be confined by domain-lines in d=2+1. Here, as a higher dimensional generalization of these, we show that Yang-Mills instantons can be confined by…

High Energy Physics - Theory · Physics 2013-03-26 Muneto Nitta