Dual superconductivity and vacuum properties in Yang--Mills theories

Abstract

We address, within the dual superconductivity model for color confinement, the question whether the Yang-Mills vacuum behaves as a superconductor of type I or type II. In order to do that we compare, for the theory with gauge group SU(2), the determination of the field penetration depth $\lambda$ with that of the superconductor correlation length $\xi$. The latter is obtained by measuring the temporal correlator of a disorder parameter developed by the Pisa group to detect dual superconductivity. The comparison places the vacuum close to the border between type I and type II and marginally on the type II side. We also check our results against the study of directly measurable effects such as the interaction between two parallel flux tubes, obtaining consistent indications for a weak repulsive behaviour. Future strategies to improve our investigation are discussed.

arXiv comment23 pages, 15 figures. Simulations on finer lattices and with different monopole charges added. Final version to be published in Nuclear Physics B

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Cited by in corpus (18)

• Chromoelectric flux tubes and coherence length in QCD
• Thermal Monopole Condensation and Confinement in finite temperature Yang-Mills Theories
• Flux tubes in the SU(3) vacuum: London penetration depth and coherence length
• Effective string description of confining flux tubes
• Flux tubes in the QCD vacuum
• Chromoelectric flux tubes in QCD
• Flux tubes at finite temperature
• Isolating the confining color field in the SU(3) flux tube
• Field Correlator Method for the confinement in QCD
• Static Interactions of non-Abelian Vortices
• The confining color field in SU(3) gauge theory
• Color flux tubes in $SU(3)$ Yang-Mills theory: an investigation with the connected correlator
• QCD flux tubes across the deconfinement phase transition
• Unveiling confinement in pure gauge SU(3): flux tubes, fields, and magnetic currents
• Spatial structure of the color field in the SU(3) flux tube
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Contrasting confinement in superQCD and superconductors