Dual Superconductor Models of Color Confinement

Ripka, G.

doi:10.1007/b94800

Cited by 70 publications

(50 citation statements)

References 61 publications

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“…From Eqs. (22) and (8) we obtain an explicit relation between the string tension and the parameters φ, µ, and α of the fit Eq. (8) to the chromoelectric flux tube profile:…”

Section: Chromoelectric Flux Tube and String Tensionmentioning

confidence: 98%

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Chromoelectric flux tubes and coherence length in QCD

2012

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“…From Eqs. (22) and (8) we obtain an explicit relation between the string tension and the parameters φ, µ, and α of the fit Eq. (8) to the chromoelectric flux tube profile:…”

Section: Chromoelectric Flux Tube and String Tensionmentioning

confidence: 98%

“…It is worth to note that the string tension σ E l defined by Eq. (22) does not depend on x l as long as the longitudinal chromoelectric field is constant along the flux tube. Obviously this last condition is not strictly fulfilled on a finite lattice.…”

Section: Chromoelectric Flux Tube and String Tensionmentioning

confidence: 99%

Chromoelectric flux tubes and coherence length in QCD

2012

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“…The latter fact makes it obvious that confinement arises from the nonperturbative gauge dynamics in the gluonic sector. It was suggested long ago [2][3][4], based on analogy with superconductivity, that the confinement may arise from chromomagnetically charged and topologically nontrivial gauge configurations, with the vacuum being a "dual superconductor" of such magnetic objects (see review in, e.g., [5,6]). This scenario is highly appealing and widely perceived to be a likely mechanism for confinement.…”

Section: Introductionmentioning

confidence: 99%

Confinement, holonomy, and correlated instanton-dyon ensemble: SU(2) Yang-Mills theory

2018

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The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromomagnetically charged gauge configurations with nontrivial topology, it is not clear what types of configurations could do that and how, in pure Yang-Mills and QCD-like (nonsupersymmetric) theories. Recently, a promising approach has emerged, based on statistical ensembles of dyons/anti-dyons that are constituents of instanton/anti-instanton solutions with nontrivial holonomy where the holonomy plays a vital role as an effective "Higgsing" mechanism. We report a thorough numerical investigation of the confinement dynamics in SUð2Þ Yang-Mills theory by constructing such a statistical ensemble of correlated instanton-dyons.

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“…Thus we obtain A L ′ − A L = g∇Ω, which is Equation (14). Discussions on Equation (C5) can be found in References [7,12,84].…”

Section: Notes On Contributormentioning

confidence: 99%

Dirac quantisation condition: a comprehensive review

Heras

2018

Contemporary Physics

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In most introductory courses on electrodynamics, one is taught the electric charge is quantised but no theoretical explanation related to this law of nature is offered. Such an explanation is postponed to graduate courses on electrodynamics, quantum mechanics and quantum field theory, where the famous Dirac quantisation condition is introduced, which states that a single magnetic monopole in the Universe would explain the electric charge quantisation. Even when this condition assumes the existence of a not-yet-detected magnetic monopole, it provides the most accepted explanation for the observed quantisation of the electric charge. However, the usual derivation of the Dirac quantisation condition involves the subtle concept of an "unobservable" semi-infinite magnetised line, the so-called "Dirac string," which may be difficult to grasp in a first view of the subject. The purpose of this review is to survey the concepts underlying the Dirac quantisation condition, in a way that may be accessible to advanced undergraduate and graduate students. Some of the discussed concepts are gauge invariance, singular potentials, single-valuedness of the wave function, undetectability of the Dirac string and quantisation of the electromagnetic angular momentum. Five quantum-mechanical and three semi-classical derivations of the Dirac quantisation condition are reviewed. In addition, a simple derivation of this condition involving heuristic and formal arguments is presented.

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Dual Superconductor Models of Color Confinement

Cited by 70 publications

References 61 publications

Chromoelectric flux tubes and coherence length in QCD

Chromoelectric flux tubes and coherence length in QCD

Confinement, holonomy, and correlated instanton-dyon ensemble: SU(2) Yang-Mills theory

Dirac quantisation condition: a comprehensive review

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