Branching of center vortices in SU(3) lattice gauge theory

Spengler, Felix; Quandt, Markus; Reinhardt, Hugo

doi:10.1103/physrevd.98.094508

Cited by 16 publications

(13 citation statements)

References 36 publications

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“…This corresponds to a physical density of ρ BP ¼ 3.5ð5Þ fm −3 . Work presented in Refs [7,24]. confirms that indeed the branching point density possesses the correct scaling behavior over different values of β governing the lattice spacing such that ρ BP may be considered a physical quantity.…”

mentioning

confidence: 62%

“…As the center of SUð3Þ is closed and P μν is the product of four center elements, P μν ðxÞ is itself a center element. Noting that vortices live on the dual lattice, the center flux associated with a plaquette is given by [23,24]…”

Section: Vortex Identificationmentioning

confidence: 99%

“…[26,27]. The ambiguity between monopoles and branching points [24] arises from the periodicity of the center phase z ¼ exp ð2πi=3Þ. By our conventions, each jet denotes the directed flow of þ1 center charge.…”

Section: B Bianchi Identitymentioning

confidence: 99%

“…Branching points are well defined only on a 3D lattice slice, rather than the full 4D lattice [24]. They can be identified at sitesx on the dual lattice by counting the number of vortex lines piercing the elementary 3D cube aroundx, denoted N cube ðxÞ.…”

Section: B Bianchi Identitymentioning

confidence: 99%

See 3 more Smart Citations

Visualization of center vortex structure

2020

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The center vortex structure of the SUð3Þ gauge field vacuum is explored through the use of novel visualization techniques. The lattice is partitioned into 3D time slices, and vortices are identified by locating plaquettes with nontrivial center phases. Vortices are illustrated by rendering vortex lines that pierce these nontrivial plaquettes. Nontrivial plaquettes with one dimension in the suppressed time direction are rendered by identifying the visible spatial link. These visualizations highlight the frequent presence of singular points and reveal an important role for branching points in SUð3Þ gauge theory in creating high topological charge density regimes. Visualizations of the topological charge density are presented, and an investigation into the correlation between vortex structures and topological charge density is conducted. The results provide new insight into the mechanisms by which center vortices generate nontrivial gauge field topology. This work demonstrates the utility of visualizations in conducting center vortex studies, presenting new avenues with which to investigate this perspective of the QCD vacuum.

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mentioning

confidence: 62%

Section: Vortex Identificationmentioning

confidence: 99%

Section: B Bianchi Identitymentioning

confidence: 99%

Section: B Bianchi Identitymentioning

confidence: 99%

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Visualization of center vortex structure

2020

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“…4. This is essential, as centre vortices must be closed to conserve the centre flux and satisfy the Bianchi identity [23,24]. We also observe that the vortex loops tend to be large.…”

Section: Spatially-oriented Vorticesmentioning

confidence: 75%

Visualisation of Centre Vortex Structure

Biddle,

Kamleh,

Leinweber

2019

Preprint

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The centre vortex structure of the SU (3) gauge field vacuum is explored through the use of novel visualisation techniques. The lattice is partitioned into 3D time slices, and vortices are identified by locating plaquettes with non-trivial centre phases. Vortices are illustrated by rendering vortex lines that pierce these non-trivial plaquettes. Non-trivial plaquettes with one dimension in the suppressed time direction are rendered by identifying the visible spatial link. These visualisations highlight the frequent presence of singular points and reveal an important role for branching points in SU (3) gauge theory in creating high topological charge density regimes. Visualisations of the topological charge density are presented, and an investigation into the correlation between vortex structures and topological charge density is conducted. The results provide new insight into the mechanisms by which centre vortices generate non-trivial gauge field topology. This work demonstrates the utility of visualisations in conducting centre vortex studies, presenting new avenues with which to investigate this perspective of the QCD vacuum.

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Confinement from Center Vortices II

Greensite¹

2020

An Introduction to the Confinement Problem

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Branching of center vortices in SU(3) lattice gauge theory

Cited by 16 publications

References 36 publications

Visualization of center vortex structure

Visualization of center vortex structure

Visualisation of Centre Vortex Structure

Confinement from Center Vortices II

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