A quantum liquid model for the QCD vacuum

Nielsen, Holger Bech; Olesen, P.

doi:10.1016/0550-3213(79)90065-8

Cited by 291 publications

(241 citation statements)

References 11 publications

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“…This behavior is caused by the non-perturbative QCD-vacuum which compresses the gluonic flux. Center vortices [1,2,3,4,5,6], quantized magnetic flux lines, play an important role for the confinement of color charges, as has been shown by numerical calculations [7,8]. In addition, simulations have indicated that vortices could also account for phenomena related to chiral symmetry, such as topological charge and spontaneous chiral symmetry breaking (SCSB) [9,10,11,12].…”

Section: Introductionmentioning

confidence: 99%

Tests of the lattice index theorem

et al. 2008

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We investigate the lattice index theorem and the localization of the zero-modes for thick classical center vortices. For non-orientable spherical vortices, the index of the overlap Dirac operator differs from the topological charge although the traces of the plaquettes deviate only by a maximum of 1.5% from trivial plaquettes. This may be related to the fact that even in Landau gauge some links of these configuration are close to the non-trivial center elements.

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Section: Introductionmentioning

confidence: 99%

Tests of the lattice index theorem

et al. 2008

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“…an algorithm which allows to localize and isolate them in Yang-Mills field configurations. After the initial proposal of the center vortex confinement mechanism, a first hint of the existence of vortex configurations was provided by the Copenhagen vacuum [12] based on the observation that a constant chromomagnetic field in Yang-Mills theory is unstable with respect to the formation of flux tube domains in three-dimensional space. Later it was observed that the chromomagnetic flux associated with these domains indeed is quantized according to the center of the gauge group [13].…”

Section: Tools and Survey Of Existing Datamentioning

confidence: 99%

Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition

et al. 2000

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By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations. Recently, center vortices have been shown to determine the string tension between static quarks at finite temperatures (center dominance); also, they correctly reproduce the deconfining transition to a phase with vanishing string tension. After verifying center dominance also for the socalled spatial string tension, the present analysis focuses on the global topology of vortex networks. General arguments are given supporting the notion that the deconfinement transition in the center vortex picture takes the guise of a percolation transition. This transition is detected in Monte Carlo experiments by concentrating on various slices through the closed vortex surfaces; these slices, representing loops in lattice universes reduced by one dimension, clearly exhibit the expected transition from a percolating to a non-percolating, deconfined, phase. The latter phase contains a large proportion of vortex loops winding around the lattice in the Euclidean time direction. At the same time, an intuitive picture clarifying the persistence of the spatial string tension in the deconfined phase emerges.

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“…Extending the Yang-Mills gauge group to SU (4) and Sp (2), new dynamics emerge in the corresponding infrared effective vortex descriptions. The SU (4) case exhibits clear signatures of Abelian magnetic monopoles (which are intrinsically present in vortex configurations cast in Abelian gauges) attaining a dynamical significance of their own as the number of colors is raised.…”

Section: Discussionmentioning

confidence: 99%

“…The random vortex world-surface model is a concrete realization of the center vortex picture of the strong interaction vacuum [1][2][3][4][5][6][7], i.e., the notion that the relevant infrared gluonic degrees of freedom of the strong interaction are closed tubes of quantized chromomagnetic flux. The random vortex world-surface model was initially investigated for SU (2) Yang-Mills theory [8][9][10], and in this simplest case, the main characteristics of the strongly interacting vacuum were reproduced.…”

Section: Introductionmentioning

confidence: 99%

Confinement and center vortex dynamics in different gauge groups

Engelhardt¹,

B.Sperisen²

2007

AIP Conference Proceedings

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Abstract. The random vortex world-surface model is extended to the gauge groups SU(4) and Sp(2). Compared to the SU(2) and SU(3) models studied previously, which reproduce the infrared properties of the corresponding Yang-Mills theories on the basis of a simple vortex world-surface curvature action, new dynamical characteristics become important. In the SU(4) case, an explicit dependence of the vortex effective action on the configuration of the Abelian magnetic monopoles residing on the vortices emerges; in the Sp(2) case, a new "stickiness" contribution to the vortex action serves to drive the deconfinement phase transition towards the correct first-order behavior.

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A quantum liquid model for the QCD vacuum

Cited by 291 publications

References 11 publications

Tests of the lattice index theorem

Tests of the lattice index theorem

Deconfinement in SU(2) Yang-Mills theory as a center vortex percolation transition

Confinement and center vortex dynamics in different gauge groups

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