Center vortices of Yang-Mills theory at finite temperatures

Abstract

Recent lattice calculations performed at zero temperature and in the maximal center gauge indicate that quark confinement can be understood in this gauge as due to fluctuations in the number of magnetic vortices piercing a given Wilson loop. This development has led to a revival of the vortex condensation theory of confinement. For a SU(2) gauge group, we show that also at finite temperatures, center vortices are the relevant collective infrared degrees of freedom determining the long-range static quark potential; in particular, their dynamics reflect the transition to the deconfining phase.

14 pages, 6 figures, numerics completely overhauled w.r.t. original version, physical conclusions unchanged

References in corpus (4)

• Detection of Center Vortices in the Lattice Yang-Mills Vacuum
• Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory
• Interaction of confining vortices in SU(2) lattice gauge theory
• String Breaking in Lattice Quantum Chromodynamics

Cited by in corpus (62)

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• Center Projection Vortices in Continuum Yang-Mills Theory
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• Problems in Lattice Gauge Fixing
• Center Vortex Model for the Infrared Sector of SU(3) Yang-Mills Theory - Confinement and Deconfinement
• Center vortex model for the infrared sector of Yang-Mills theory - Confinement and Deconfinement
• Topology of Center Vortices
• Center vortex model for the infrared sector of Yang-Mills theory - Topological Susceptibility
• Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory
• Vortex structures in pure SU(3) lattice gauge theory
• Signals of confinement in Green functions of SU(2) Yang-Mills theory
• P-vortices and Drama of Gribov Copies
• Center vortex model for the infrared sector of Yang-Mills theory - Quenched Dirac spectrum and chiral condensate
• Role of center vortices in chiral symmetry breaking in SU(3) gauge theory
• Topological Susceptibility of Yang-Mills Center Projection Vortices
• Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop
• Center vortex and confinement in Yang-Mills theory and QCD with anomaly-preserving compactifications
• Fermion-induced quantum action of vortex systems
• First Evidence for Center Dominance in SU(3) Lattice Gauge Theory
• Once more on the interrelation between Abelian monopoles and P-vortices in SU(2) LGT
• Chiral Symmetry Breaking on the Lattice
• Percolation of Vortices in the 3D Abelian Lattice Higgs Model
• Vortices, monopoles and confinement
• Writhe of center vortices and topological charge -- an explicit example
• P-vortices, nexuses and effects of gauge copies
• Center Dominance in SU(2) Gauge-Higgs Theory
• Semiclassics with 't Hooft flux background for QCD with $2$-index quarks
• Branching of Center Vortices in SU(3) Lattice Gauge Theory
• Manifestations of magnetic vortices in equation of state of Yang-Mills plasma
• Center vortex properties in the Laplace center gauge of SU(2) Yang-Mills theory
• The Vortex Structure of SU(2) Calorons
• Different faces of confinement
• Semiclassical analysis of the bifundamental QCD on ${\mathbb{R}}^2\times T^2$ with 't Hooft flux
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory -- baryonic potential
• A model of random center vortex lines in continuous 2+1-dimensional space-time
• QCD vacuum structure
• Vortex critical behavior at the de-confinement phase transition
• Energy Density of Vortices in the Schroedinger Picture
• Fermi-Einstein condensation in dense QCD-like theories
• Center-vortex dominance after dimensional reduction of SU(2) lattice gauge theory
• Centre vortex geometry at finite temperature
• Vortices in SO(3)xZ(2) simulations
• Numerical indication that center vortices drive dynamical mass generation in QCD
• Center flux correlation in SU(2) Yang-Mills theory
• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Gauge invariant Z_2 vortex vacuum textures and the SU(2) gluon condensate
• Center-vortex semiclassics with non-minimal 't Hooft fluxes on ${\mathbb{R}}^2\times T^2$ and center stabilization at large $N$
• Abelian and center gauge fixing in continuum Yang-Mills-Theory for general gauge groups
• Vortex dominance of the 0+ and 2+ glueball mass in SU(2) lattice gauge theory
• Quantum gauge fixing and vortex dominance
• Probing the center-vortex area law in d=3: The role of inert vortices
• Domain structures and quark potentials in SU($3$) gauge theory
• Introducing vortices in the continuum using direct and indirect methods
• Structure of center-vortex matter in SU(4) Yang-Mills theory
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• Center vortices in the novel phase of staggered fermions
• The Structure of Projected Center Vortices at Zero and Finite Temperature
• Magnetic Monopoles, Center Vortices and Topology of Gauge Fields
• From confinement to new states of dense QCD matter
• Novel insight into centre-vortex geometry in four dimensions
• Fractional topological charges and the lowest Dirac modes