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The spherically and cylindrically symmetric solutions of the $SU(3)$ Yang - Mills theory are obtained. The corresponding gauge potential has the confining properties. It is supposed that: a) the spherically symmetric solution is a field…

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

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

We consider static spherically symmetric solutions of Einstein's equations coupled to an SU(2) Yang Mills field that are smooth at the center of spherical symmetry. We prove that with small cosmological constant there exist solutions that…

广义相对论与量子宇宙学 · 物理学 2009-02-23 Alexander N. Linden

We reexamine the solvable model problem of two static, fundamental quarks interacting with a SU(2) Yang-Mills field on a spatial circle, introduced by Engelhardt and Schreiber. If the quarks are at the same point, the model exhibits a…

高能物理 - 理论 · 物理学 2016-08-25 M. Seeger , M. Thies

A recent investigation of the SU(3) Yang-Mills field equations found several classical solutions which exhibited a type of confinement due to gauge fields which increased without bound as $r \to \infty$. This increase of the gauge fields…

高能物理 - 理论 · 物理学 2010-11-19 V. Dzhunushaliev , D. Singleton

Regular classical solutions of pure SU(3) gauge theories, in Minkowsky spacetime, are computed in the Landau gauge. The classical fields have an intrinsic energy scale and produce quark confinement if interpreted in the sense of a…

高能物理 - 理论 · 物理学 2007-05-23 O. Oliveira , R. A. Coimbra

Some well known gauge scalar potential very often considered or used in the literature are investigated by means of the classical Yang Mills equations for the $SU(2)$ subgroups of $N_c=3$. By fixing a particular shape for the scalar…

高能物理 - 唯象学 · 物理学 2022-08-02 Igor de M. Froldi , Fabio L. Braghin

We consider static spherically symmetric solutions of the Einstein equations with cosmological constant coupled to the SU(2) Yang Mills equations. We prove that most solutions can be continued back to the origin of spherical symmetry and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Alexander N. Linden

It is showed that potentials derived from classical solutions of the SU(3) Yang-Mills theory can provide confining potentials that reproduce the heavy quarkonium spectrum within the same level of precision as the Cornell potential.

高能物理 - 唯象学 · 物理学 2009-11-10 O. Oliveira

A recent investigation of SU(2) Yang-Mills theory found several classical solutions with bad behaviour at infinity : one of the potential components oscillated and another tended to infinity. In this paper we apply an idea due to Heisenberg…

高能物理 - 理论 · 物理学 2009-10-31 V. Dzhunushaliev

Static, spherically symmetric solutions of the Yang-Mills-Dilaton theory are studied. It is shown that these solutions fall into three different classes. The generic solutions are singular. Besides there is a discrete set of globally…

广义相对论与量子宇宙学 · 物理学 2010-11-19 D. Maison

It is shown analytically that every static, spherically symmetric solution to the Einstein Yang Mills equations with SU(2) gauge group that is defined in the far field has finite ADM mass. Moreover, there can be at most two horizons for…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Arthur G. Wasserman

We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

Electromagnetic properties of quark-like particles are examined in a classical field model involving extended dual electromagnetic fields. These can have fractional charges and a confining potential that derives essentially completely from…

数学物理 · 物理学 2011-01-27 Harry Schiff

In this paper we compute classical Minkowsky spacetime solutions of pure SU(2) and SU(3) gauge theories, in Landau gauge. The solutions are regular everywhere except at the origin and/or infinity, are characterized by a four momentum $k$…

高能物理 - 唯象学 · 物理学 2007-05-23 O. Oliveira , R. A. Coimbra

We present the basic non-perturbative structure of the space of classical dynamical solutions and corresponding one particle quantum states in SU(3) Yang-Mills theory. It has been demonstrated that the Weyl group of su(3) algebra plays an…

高能物理 - 理论 · 物理学 2025-05-01 Dmitriy G. Pak , Rong-Gen Cai , Takuya Tsukioka , Pengming Zhang , Yu-Feng Zhou

Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Robert A. Bartnik , Mark Fisher , Todd A. Oliynyk

We elucidate how Quantum Thermodynamics at temperature $T$ emerges from pure and classical SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime slice $S_1\times {\bf R}^3$. The concept of a (deconfining) thermal ground state,…

综合物理 · 物理学 2016-08-26 Ralf Hofmann

We consider a static, spherically symmetric system of a Dirac particle in a classical gravitational and SU(2) Yang-Mills field. We prove that the only black-hole solutions of the corresponding Einstein-Dirac-Yang/Mills equations are the…

广义相对论与量子宇宙学 · 物理学 2014-01-28 Felix Finster , Joel Smoller , Shing-Tung Yau

The Einstein equations with small positive cosmological constant coupled to an SU(2) Yang Mills field admits solutions that possess a coordinate singularity at a noncritical radius. Here, we prove that these solutions are otherwise globally…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Alexander N. Linden
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