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Drawing on the parallel between general relativity and Yang-Mills theory we obtain an exact Schwarzschild-like solution for SU(2) gauge fields coupled to a massless scalar field. Pushing the analogy further we speculate that this classical…

高能物理 - 理论 · 物理学 2010-11-19 Douglas Singleton

By casting the Yang-Mills-Higgs equations of an SU(2) theory in the form of the Ernst equations of general relativity, it is shown how the known exact solutions of general relativity can be used to give similiar solutions for Yang-Mills…

高能物理 - 理论 · 物理学 2009-10-28 Douglas Singleton

Structure of exact solutions modelling confinement is discussed for SU(3)-Yang-Mills equations and uniqueness of such confining solutions is proved in a certain sense. Relationship of the obtained results to QCD and the confinement…

高能物理 - 唯象学 · 物理学 2009-11-11 Yu. P. Goncharov

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

高能物理 - 格点 · 物理学 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

Applying the static Yang-Mills Maxwell equations to a simple system of SU(2) charges with spherical symmetry and confining boundary conditions provides for a demonstration of the likelihood that the confinement mechanism in non-Abelian…

高能物理 - 唯象学 · 物理学 2019-05-07 Dennis Sivers

The question of the role of the center of the gauge group in the phenomenon of confinement in Yang-Mills theory is addressed. The investigation is performed from the most general perspective of considering all possible choices for the gauge…

高能物理 - 格点 · 物理学 2015-06-25 Michele Pepe

In this paper we extend our previously discovered exact solution for an SU(2) gauge theory coupled to a massless, non-interacting scalar field, to the general group SU(N+1). Using the first-order formalism of Bogomolny, an exact,…

高能物理 - 理论 · 物理学 2010-11-19 Douglas Singleton

Spherically and cylindrically symmetric solutions of SU(3) Yang-Mills theory are found, whose gauge potentials have confining properties. The spherically symmetric solutions give field distributions which have a spherical surface on which…

高能物理 - 理论 · 物理学 2007-05-23 V. Dzhunushaliev , D. Singleton

Massive Yang-Mills theory is known to be renormalizable in 1+1 dimensions. The gluon mass is introduced by coupling the gauge field to an SU(N) principal chiral nonlinear sigma model. The proof of renormalizability relies on the asymptotic…

高能物理 - 格点 · 物理学 2014-10-22 Axel Cortés Cubero

We examine the restoration of the residual gauge symmetry in the Yang-Mills theory to be regarded as a confinement criterion. For this purpose we restrict the four-dimensional $SU(2)$ Yang-Mills instantons to those with spatial spherical…

高能物理 - 理论 · 物理学 2025-10-30 Naoki Fukushima , Kei-Ichi Kondo

The gauge-independent phenomenon of color confinement in Yang-Mills theory manifests itself differently in different gauges. Therefore, the gauge dependence of quantities related to the infrared structure of the theory becomes important for…

高能物理 - 格点 · 物理学 2015-03-19 Axel Maas , Tereza Mendes , Stefan Olejnik

Dual superconductivity is believed to be a promising mechanism for quark confinement and has been investigated on a lattice effectively by a particular gauge called the maximal Abelian (MA) gauge. We propose a new formulation of SU(3)…

高能物理 - 格点 · 物理学 2007-10-18 A. Shibata , S. Kato , K. -I. Kondo , T. Murakami , T. Shinohara , S. Ito

Yang-Mills gauge field with gauge group SU(2) decomposes into a single charge neutral complex vector, and two spinless charged scalar fields. At high energies these constituents are tightly confined into each other by a compact U(1)…

高能物理 - 唯象学 · 物理学 2009-11-11 Antti J. Niemi

For a $(2+1)$-dimensional reformulated SU(2) Yang-Mills theory, we compute the interaction potential within the framework of the gauge-invariant but path-dependent variables formalism. This reformulation is due to the presence of a constant…

高能物理 - 理论 · 物理学 2008-11-26 Patricio Gaete , Eduardo Guendelman , Euro Spallucci

Recently it has been argued that infrared singularities of the quark-gluon vertex of Landau gauge QCD can confine static quarks via a linear potential. It is demonstrated that the same mechanism also may confine fundamental scalar fields.…

高能物理 - 唯象学 · 物理学 2015-05-20 Reinhard Alkofer , Leonard Fister , Axel Maas , Veronika Macher

We have previously found analytically a very unusual and unexpected form of confinement in SU(3) Yang-Mills theory. This confinement occurs in the deconfined phase of the theory. The free energy of a single static test quark diverges, even…

高能物理 - 格点 · 物理学 2009-10-31 K. Holland

Recently it has been shown that infrared singularities of Landau gauge QCD can confine static quarks via a linearly rising potential. We show that the same mechanism can also provide a confining interaction between charged scalar fields in…

高能物理 - 理论 · 物理学 2010-05-07 Leonard Fister , Reinhard Alkofer , Kai Schwenzer

Color confinement is the most puzzling phenomenon in the theory of strong interaction based on a quantum SU(3) Yang-Mills theory. The origin of color confinement supposed to be intimately related to non-perturbative features of the…

高能物理 - 理论 · 物理学 2020-12-29 D. G. Pak , Takuya Tsukioka

Supersymmetry provides a well-established theoretical framework for extensions of the standard model of particle physics and the general understanding of quantum field theories. We summarise here our investigations of N=1 supersymmetric…

高能物理 - 格点 · 物理学 2016-04-20 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling g_m to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Baker
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