Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013) 2014
DOI: 10.22323/1.187.0376
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Analysis of topological structure of the QCD vacuum with overlap-Dirac operator eigenmode

Abstract: Using the eigenmodes of the overlap-Dirac operator, we study the topological structure of the QCD vacuum. We investigate the space-time profile of the low-lying eigenmodes and their contribution to the vacuum action density and chiral condensate under the existence of static color sources. We demonstrate that the low-lying Dirac eigenmode shows the flux-tube structure, which suggests the relevance to confinement. We also analyze the chiral condensate in the flux-tube. Chiral symmetry is partially restored insi… Show more

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Cited by 3 publications
(4 citation statements)
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“…The ratio of chiral condensate in the 3Q-system r 3Q ( x) is given by substituting the 3Q-Wilson loop W 3Q for the Wilson loop W (R, T ) in Eq. (2.5) [3].…”
Section: Chiral Condensate In Three Quark Systemmentioning
confidence: 99%
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“…The ratio of chiral condensate in the 3Q-system r 3Q ( x) is given by substituting the 3Q-Wilson loop W 3Q for the Wilson loop W (R, T ) in Eq. (2.5) [3].…”
Section: Chiral Condensate In Three Quark Systemmentioning
confidence: 99%
“…The topological charge density is constructed by the Dirac eigenfunction using Gattringer's decomposition [3,10]. They show an intersection on the same X-T slice of the four-dimensional lattice.…”
Section: ⋅10 -15mentioning
confidence: 99%
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“…However, lattice QCD demonstrates that the presence of a colour string modifies the QCD vacuum. For example, the correlator between the quark-antiquark chiral condensate, q q , and the Wilson loop, W, is appeared to be not a constant as a function of the transverse distance from a string [51]. Indeed, at large distances it reaches the value of unity, meaning that there is no string influence.…”
Section: String Transverse Dynamicsmentioning
confidence: 98%