Casimir scaling from center vortices: Towards an understanding of the adjoint string tension

Faber, M.; Greensite, Jeff; Olejník, Š.

doi:10.1103/physrevd.57.2603

Cited by 159 publications

(231 citation statements)

References 15 publications

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“…This extension is one of the quantities determined in the framework of the Copenhagen vacuum [8] and also has been probed by lattice experiments [16], [18], [31]. As already mentioned in the previous section, it is instrumental in explaining the approximate Casimir scaling behavior of Wilson loops in the adjoint representation of the gauge group at intermediate distances [29], [30].…”

Section: Physical Interpretation Of the Modelmentioning

confidence: 99%

“…This thickness has furthermore been argued to be of crucial phenomenological importance, e.g. in generating the approximate Casimir scaling behavior of Wilson loops in the adjoint representation of the gauge group at intermediate distances [29], [30]. A finite vortex thickness in particular implies that it does not make sense to consider configurations in which two parallel vortex surfaces are closer to each other than the vortex thickness; i.e., vortices cannot be packed arbitrarily densely.…”

Section: Vortex Modelmentioning

confidence: 99%

“…As a last remark, it should be noted that at this stage, no explicit transverse profile for the vortices has been introduced, as would be necessary e.g. for the purpose of correctly describing the behavior of adjoint representation Wilson loops [29], [30]. The vortex thickness enters only via the minimal distance between parallel vortex surfaces, whereas the surfaces themselves are still treated as infinitely thin.…”

Section: Vortex Modelmentioning

confidence: 99%

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Center vortex model for the infrared sector of Yang–Mills theory — confinement and deconfinement

2000

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A model for the infrared sector of Yang-Mills theory based on magnetic vortices represented by (closed) random surfaces is investigated using lattice Monte Carlo methods. The random surfaces are governed by a surface area action and a curvature action. The model generates a finite-temperature deconfinement transition; the coupling constants of the model can be chosen such as to reproduce the SU(2) Yang-Mills ratio of the deconfinement temperature to the square root of the zero-temperature string tension, Tc/ √ σ0 = 0.69. This yields a physical trajectory in the space of coupling constants on which the confinement properties are approximately invariant. An at first sight surprisingly accurate prediction of the spatial string tension in the deconfined phase results, which can be made plausible in view of the specific space-time structure of the vortex configurations in this phase. The confinement properties are shown to be intimately tied to the percolation properties of the vortex surfaces.

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Section: Physical Interpretation Of the Modelmentioning

confidence: 99%

Section: Vortex Modelmentioning

confidence: 99%

Section: Vortex Modelmentioning

confidence: 99%

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Center vortex model for the infrared sector of Yang–Mills theory — confinement and deconfinement

2000

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“…A similar (but not identical) calculation appeared in ref. [17]; the version here has the advantage that it makes no reference to the lattice, even if the underlying assumptions are too simplistic for it to be a true continuum theory.…”

Section: Confinement From Non-interacting Vorticesmentioning

confidence: 99%

Wilson loop distributions, higher representations and centre dominance in SU(2)

Stephenson

1999

Nuclear Physics B

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To help understand the centre dominance picture of confinement, we look at Wilson loop distributions in pure SU(2) lattice gauge theory. A strong coupling approximation for the distribution is developed to use for comparisons. We perform a Fourier expansion of the distribution: centre dominance here corresponds to suppression of odd terms beyond the first. The Fourier terms correspond to SU(2) representations; hence Casimir scaling behaviour leads to centre dominance. We examine the positive plaquette model, where only thick vortices are present. We show that a simple picture of random, non-interacting centre vortices gives a string tension about 3/4 of the measured value. Finally, we attempt to limit confusion about the adjoint representation.

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“…Numerical evidence in favor of the center vortex theory of confinement has been steadily accumulating over the past three years [1][2][3][4][5][6][7][8][9][10][11]. Underlying most of these numerical studies is a technique for locating center vortices in thermalized lattice configurations, known as center projection in maximal center gauge.…”

Section: Introductionmentioning

confidence: 99%

The vortex-finding property of maximal center (and other) gauges

Faber¹,

Greensite²,

Olejník³

et al. 1999

J. High Energy Phys.

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We argue that the "vortex-finding" property of maximal center gauge, i.e. the ability of this gauge to locate center vortices inserted by hand on any given lattice, is the key to its success in extracting the vortex content of thermalized lattice configurations. We explain how this property comes about, and why it is expected not only in maximal center gauge, but also in an infinite class of gauge conditions based on adjoint-representation link variables. In principle, the vortex-finding property can be foiled by Gribov copies. This fact is relevant to a gauge-fixing procedure devised by Kovács and Tomboulis, where we show that the loss of center dominance, found in their procedure, is explained by a corresponding loss of the vortex-finding property. The association of center dominance with the vortex-finding property is demonstrated numerically in a number of other gauges.

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Casimir scaling from center vortices: Towards an understanding of the adjoint string tension

Cited by 159 publications

References 15 publications

Center vortex model for the infrared sector of Yang–Mills theory — confinement and deconfinement

Center vortex model for the infrared sector of Yang–Mills theory — confinement and deconfinement

Wilson loop distributions, higher representations and centre dominance in SU(2)

The vortex-finding property of maximal center (and other) gauges

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