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It has long argued that confinement in non-Abelian gauge theories, such as QCD, can be account for by analogy with typed II superconductivity. In this paper, we show that it is possible to arrive at an effective dual Abelian-Higgs model,…

High Energy Physics - Theory · Physics 2007-05-23 Duoje Jia

For small values of the gauge coupling constant, we compare the densities of the energy of the vacuum and of the order parameter, evaluated in the lattice Monte Carlo simulation and in the perturbative field theory at two loop (Minkowski).…

High Energy Physics - Lattice · Physics 2013-03-08 Daniele Bettinelli , Ruggero Ferrari

In this talk, we examine the physical unitarity in a massive Yang-Mills theory without the Higgs field in which the color gauge symmetry is not spontaneously broken and kept intact. For this purpose, we use a new framework proposed one of…

High Energy Physics - Theory · Physics 2013-01-14 Kei-Ichi Kondo , Kenta Suzuki , Hitoshi Fukamachi , Shogo Nishino , Toru Shinohara

We present a first numerical evidence for the existence of a novel magnetic condensate proposed recently by one of the authors in SU(2) Yang-Mills theory. In our framework, the spontaneously generated color magnetic field identified with…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kato , K. -I. Kondo , T. Murakami , A. Shibata , T. Shinohara

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

A consistent description of the confining QCD vacuum as a dual superconductor requires a determination of fundamental parameters such as the superconductor correlation length $\xi$ and the field penetration depth $\lambda$, which determine…

High Energy Physics - Lattice · Physics 2008-11-26 A. D'Alessandro , M. D'Elia

New static regular axially symmetric solutions of SU(2) Yang-Mills-Higgs theory are constructed. They are asymptotically flat and represent gravitating monopole-monopole pairs. The solutions form two branches linked to the second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasha Shnir

The Yang-Mills gradient flow for QCD-like theories is generalized by including a fermionic matter term in the gauge field flow equation. We combine this with two different flow equations for the fermionic degrees of freedom. The solutions…

High Energy Physics - Theory · Physics 2021-02-24 Marco Boers

The strong CP problem is inseparably connected with the topology of gauge fields and the mechanism of color confinement, which requires nonperturbative tools to solve it. In this talk I present results of a recent lattice investigation of…

High Energy Physics - Lattice · Physics 2023-01-11 Gerrit Schierholz

We derive the planar large N non-supersymmetric background of the quantum mechanical hamiltonian of two hermitean matrices coupled via a Yang-Mills interaction, in terms of the density of eigenvalues of one of the matrices. This background…

High Energy Physics - Theory · Physics 2010-11-11 João P. Rodrigues , Alia Zaidi

The gluon field configurations that form the foundation of every lattice QCD calculation contain a rich diversity of emergent nonperturbative structure. Visualisations of these phenomena not only serve to explain the concept of a nontrivial…

We provide a set of exact solutions of the classical Yang-Mills equations. They have the property to satisfy a massive dispersion relation and hold in all gauges. These solutions can be used to describe the vacuum of the quantum Yang-Mills…

Mathematical Physics · Physics 2017-01-20 Marco Frasca

We construct and analyze a novel family of exact higher-dimensional black hole solutions in Einstein-Power-Yang-Mills gravity minimally coupled to a scalar field multiplet supporting a global monopole and a surrounding anisotropic ''scalar…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Yassine Sekhmani , Sunil Kumar Maurya , Javlon Rayimbaev , Mohamed Altanji , Inomjon Ibragimov , Alexandre Landry , Sokhibjan Muminov

We show how vortices can appear in the low energy limit of a pure SU(2) Yang-Mills theory as topological solitons. Motivated by Abelian dominance, we suppose that in the infrared regime of the SU(2) Yang-Mills theory, the field strength…

High Energy Physics - Phenomenology · Physics 2015-02-16 Ahmad Mohamadnejad , Sedigheh Deldar

Gribov's observation that global gauge fixing is impossible has led to suggestions that there may be a deep connection between gauge-fixing and confinement. We find an unexpected relation between the topological non-triviality of the gauge…

High Energy Physics - Theory · Physics 2015-06-11 A. P. Balachandran , Sachindeo Vaidya , Amilcar R. de Queiroz

We study pure Yang--Mills theory on $\Sigma\times S^2$, where $\Sigma$ is a compact Riemann surface, and invariance is assumed under rotations of $S^2$. It is well known that the self-duality equations in this set-up reduce to vortex…

High Energy Physics - Theory · Physics 2011-05-02 Nicholas S. Manton , Norman A. Rink

Color magnetic flux tubes appear in the color-flavor locked phase of high density QCD, which exhibits color superconductivity as well as superfluidity. They are non-Abelian superfluid vortices and are accompanied by orientational zero modes…

High Energy Physics - Phenomenology · Physics 2010-01-24 Minoru Eto , Eiji Nakano , Muneto Nitta

In strongly magnetized backgrounds, electrically charged vector bosons can condense. When considering the rho-meson sector of QCD, this results in the existence of a superconducting state with Abrikosov vortices. As a next order effect,…

High Energy Physics - Phenomenology · Physics 2012-01-05 Jos Van Doorsselaere

We consider a spherically symmetric (magnetic) $SU(2)$ Yang-Mills field propagating on the exterior of the extremal Reissner-Nordstr\"om black hole. Taking advantage of the conformal symmetry, we reduce the problem to the study of the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Piotr Bizoń , Michał Kahl

The topological properties of magnetic monopoles and center vortices arising, respectively, in Abelian and center gauges are studied in continuum Yang-Mills Theory. For this purpose the continuum analog of the maximum center gauge is…

High Energy Physics - Lattice · Physics 2015-06-25 H. Reinhardt , M. Engelhardt , K. Langfeld , M. Quandt , A. Schafke