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The center vortex model of quantum chromodynamic states that vortices, closed color-magnetic flux, percolate the vacuum. Vortices are seen as the relevant excitations of the vacuum, causing confinement and dynamical chiral symmetry…

高能物理 - 格点 · 物理学 2019-12-06 Rudolf Golubich , Manfried Faber

The center vortex model of the QCD vacuum is very successful in explaining the non-perturbative properties of QCD, especially confinement, chiral symmetry breaking and the topological charge of vacuum configurations. On the other hand, the…

高能物理 - 格点 · 物理学 2021-06-16 Rudolf Golubich , Manfried Faber

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…

高能物理 - 格点 · 物理学 2009-10-31 M. Faber , J. Greensite , S. Olejnik , D. Yamada

We present a variety of numerical data supporting the Center Vortex theory of confinement. A method is introduced for identifying the location of center vortices, in thermalized gauge-field configurations generated by lattice Monte Carlo.…

高能物理 - 格点 · 物理学 2007-05-23 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

We review arguments for center dominance in center gauges where vortex locations are correctly identified. We introduce an appealing interpretation of the maximal center gauge, discuss problems with Gribov copies, and a cure to the problems…

高能物理 - 格点 · 物理学 2007-05-23 M. Faber , J. Greensite , S. Olejnik

We review the confinement scenario in Coulomb gauge. We show that when thin center vortex configurations are gauge transformed to Coulomb gauge, they lie on the common boundary of the fundamental modular region and the Gribov region. This…

高能物理 - 格点 · 物理学 2009-11-10 Jeff Greensite , Stefan Olejnik , Daniel Zwanziger

Maximal Center Gauge (MCG) aims to detect center vortices by maximizing a gauge functional and then projecting onto the center elements of the respective group. The requirement for unrestricted maximization of the gauge functional has…

高能物理 - 格点 · 物理学 2026-02-10 Zeinab Dehghan , Rudolf Golubich , Roman Höllwieser , Manfried Faber

We construct a smooth gauge for the adjoint field which is free of ambiguities on the lattice. In this Laplacian Center Gauge, center vortices and monopoles appear together as local gauge defects. A numerical study of center vortices in…

高能物理 - 格点 · 物理学 2009-10-31 Ph. de Forcrand , M. Pepe

Maximal center gauge (MCG) aims to detect some of the most important vacuum configurations, suggesting thick magnetic flux tubes quantised to non-trivial center elements of the gauge group being responsible for confinement. Due to the…

高能物理 - 格点 · 物理学 2023-09-26 Zeinab Dehghan , Rudolf Golubich , Roman Höllwieser , Manfried Faber

We review the equivalence of maximal center gauge fixing to the problem of finding the best fit, to a given lattice gauge field, by a thin vortex configuration. This fit is necessarily worst at the location of P-plaquettes. We then compare…

高能物理 - 格点 · 物理学 2008-11-26 M. Faber , J. Greensite , S. Olejnik

We present numerical evidence that supports the theory of quark confinement based on center vortex condensation. We introduce a special gauge ("maximal center gauge") and center projection, suitable for identification of center vortices.…

高能物理 - 格点 · 物理学 2007-05-23 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

It is shown that the action associated with center vortices in SU(2) lattice gauge theory is strongly correlated with extrinsic and internal curvatures of the vortex surface and that this correlation persists in the continuum limit. Thus a…

高能物理 - 格点 · 物理学 2008-11-26 P. V. Buividovich , M. I. Polikarpov

We address two questions related to the procedure of identifying center vortices based on center projection in maximal center gauge: 1. How does the procedure work, why is it expected to locate center vortices relevant for confinement, and…

高能物理 - 格点 · 物理学 2007-05-23 M. Faber , J. Greensite , S. Olejnik , D. Yamada

Center vortices are unambiguously identified after Laplacian Center Gauge fixing and their influence on confinement and chiral symmetry breaking is investigated on a sample of SU(2) configurations at zero and finite temperature.

高能物理 - 格点 · 物理学 2008-11-26 C. Alexandrou , Ph. de Forcrand , M. D'Elia

The dominance of center degrees of freedom is observed in SU(3) lattice gauge theory in maximal center gauge. The full asymptotic string tension is reproduced, after center projection, by the center elements alone. When center vortices are…

高能物理 - 格点 · 物理学 2008-11-26 M. Faber , J. Greensite , S. Olejnik

Using lattice QCD, we reveal a fundamental connection between centre vortices and several key features associated with dynamical chiral symmetry breaking and quark confinement. Calculations are performed in pure SU(3) gauge theory using the…

高能物理 - 格点 · 物理学 2021-04-08 Waseem Kamleh , Derek B. Leinweber , Amalie Trewartha

We perform the careful study of the Gribov copies problem in SU(2) lattice gauge theory for maximal direct and maximal indirect center projections. We find that this problem is much more severe than it was thought before. The projected…

高能物理 - 格点 · 物理学 2016-09-01 V. G. Bornyakov , D. A. Komarov , M. I. Polikarpov , A. I. Veselov

We present meson-meson (Wilson loop) correlators in Z(2) center vortex models for the infrared sector of Yang-Mills theory, i.e., a hypercubic lattice model of random vortex surfaces and a continuous 2+1 dimensional model of random vortex…

高能物理 - 格点 · 物理学 2016-01-20 Roman Höllwieser , Derar Altarawneh

In gauge theories the presence of constraints can obstruct expressing the global Hilbert space as a tensor product of the Hilbert spaces corresponding to degrees of freedom localized in complementary regions. In algebraic terms, this is due…

高能物理 - 理论 · 物理学 2014-04-23 Horacio Casini , Marina Huerta , Jose Alejandro Rosabal

We study the dependence of the center-projected string tension on both the lattice size, and the number of gauge copies used for maximal center gauge fixing. We show that a recent finding of Bornyakov, Komarov, Polikarpov, and Veselov…

高能物理 - 格点 · 物理学 2009-10-31 R. Bertle , M. Faber , J. Greensite , S. Olejnik
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