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A model for the quantum effective description of the vacuum structure of thermalized SU(3) Yang-Mills theory is proposed. The model is based on Abelian projection leading to a Ginzburg-Landau theory for the magnetic sector. The possibility…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

We give a theoretical framework for defining and extracting non-Abelian magnetic monopoles in a gauge-invariant way in SU(N) Yang-Mills theory to study quark confinement. Then we give numerical evidences that the non-Abelian magnetic…

High Energy Physics - Theory · Physics 2011-06-24 K. -I. Kondo , A. Shibata , T. Shinohara , S. Kato

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino…

High Energy Physics - Theory · Physics 2010-04-05 E. Kraus , C. Rupp , K. Sibold

Yang-Mills theory has extended well beyond its original role in describing the strong force and now emerges as an effective theory in condensed matter, ultracold atomic, and photonic systems. In these systems, the theory has been successful…

Strongly Correlated Electrons · Physics 2026-04-15 Subramanya Bhat K. N. , Amita Das , V Ravishankar , Bhooshan Paradkar

New collective coordinates, related to the field at the `center' of the monopoles, are proposed. A systematic computation of the infrared properties of 2+1- and 3+1- dimensional Yang-Mills theory is now possible and is related to solutions…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. S. Sharatchandra

Recently Anishetty, Majumdar and Sharatchandra have proposed a way of characterizing topologically non-trivial configurations for 2+1 dimensional Yang-Mills theory in a local and manifestly gauge invariant manner. In this paper paper we…

High Energy Physics - Lattice · Physics 2009-10-31 Pushan Majumdar , Dong-Shin Shin

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

In this paper we constructed superloop space duality for a four dimensional supersymmetric Yang-Mills theory with $\mathcal{N} =1$ supersymmetry. This duality reduces to the ordinary loop space duality for the ordinary Yang-Mills theory. It…

High Energy Physics - Theory · Physics 2015-07-15 Mir Faizal , Tsou Sheung Tsun

It is shown that pure Yang-Mills theory in the modified formulation admits soliton solutions of classical field equations.

High Energy Physics - Theory · Physics 2014-12-19 A. A. Slavnov

We construct numerically new axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in $(3+1)$ anti-de Sitter spacetime. Two types of finite energy, regular configurations are considered: multimonopole solutions with magnetic charge…

High Energy Physics - Theory · Physics 2009-11-10 Eugen Radu , D. H. Tchrakian

In these lectures we review how the symmetries of gravitational theories may be regarded as originating from those of "Yang-Mills squared". We begin by motivating the idea that certain aspects of gravitational theories can be captured by…

High Energy Physics - Theory · Physics 2016-10-25 L. Borsten , M. J. Duff

In a previous publication [1], local gauge invariant geometric variables were introduced to describe the physical Hilbert space of Yang-Mills theory. In these variables, the electric energy involves the inverse of an operator which can…

High Energy Physics - Theory · Physics 2010-11-19 Peter E. Haagensen , Kenneth Johnson , C. S. Lam

We study both analytically and numerically a coupled system of spherically symmetric SU(2) Yang-Mills-dilaton equation in 3+1 Minkowski space-time. It has been found that the system admits a hidden scale invariance which becomes transparent…

High Energy Physics - Theory · Physics 2009-11-10 E. E. Donets , O. I. Streltsova , T. L. Boyadjiev

Discretization of supersymmetric theories is an old problem in lattice field theory. It has resisted solution until quite recently when new ideas drawn from orbifold constructions and topological field theory have been brought to bear on…

High Energy Physics - Lattice · Physics 2010-06-07 Simon Catterall

Topological Yang-Mills theory with the Belavin-Polyakov-Schwarz-Tyupkin $SU(2)$ instanton is solved completely, revealing an underlying multi-link intersection theory. Link invariants are also shown to survive the coupling to a certain kind…

High Energy Physics - Theory · Physics 2009-10-28 Damiano Anselmi

First, we give a gauge-independent definition of chromomagnetic monopoles in $SU(N)$ Yang-Mills theory which is derived through a non-Abelian Stokes theorem for the Wilson loop operator. Then we discuss how such magnetic monopoles can give…

High Energy Physics - Theory · Physics 2015-08-11 Kei-Ichi Kondo , Takaaki Sasago , Toru Shinohara , Akihiro Shibata , Seikou Kato

We reformulate the dual gauge model of the long-distance Yang-Mills theory in terms of the two-point Wightman functions formalism. In the flux-tube scheme of Abelian dominance and monopole condensation, the analytic expressions of both…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. A. Kozlov , M. Baldicchi

We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers , Warren Siegel

We perform the Batalin-Vilkovisky quantization of Yang-Mills theory on a 2-point space, discussing the formulation of Connes-Lott as well as Connes' real spectral triple approach. Despite of the model's apparent simplicity the gauge…

High Energy Physics - Theory · Physics 2015-06-26 H. Huffel

In recent years it has been shown that many, and possibly all, integrable systems can be obtained by dimensional reduction of self-dual Yang-Mills. I show how the integrable systems obtained this way naturally inherit bihamiltonian…

High Energy Physics - Theory · Physics 2016-09-06 Jeremy Schiff