Investigation of the ensemble of maximal center gauge
arXiv:2404.13304 · doi:10.1103/PhysRevD.110.014501
Abstract
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 proven to be untenable because it was shown that it leads to an underestimation of the string tension. To counter this problem, the ensemble of local gauge maxima is investigated and it is found that the unrestricted maximization can be replaced by a maximization restricted to the Gaussian distributed part of the ensemble. Such restricted maximization weakens the problem of an underestimated string tension.
References in corpus (22)
- Observing Long Colour Flux Tubes in SU(2) Lattice Gauge Theory
- Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory
- Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
- Detection of Center Vortices in the Lattice Yang-Mills Vacuum
- Center Projection Vortices in Continuum Yang-Mills Theory
- Vortices and confinement at weak coupling
- Vortex structures in pure SU(3) lattice gauge theory
- Center Vortices and the Dirac Spectrum
- The Structure of Projected Center Vortices in Lattice Gauge Theory
- P-vortices and Drama of Gribov Copies
- Direct Laplacian Center Gauge
- Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
- Chiral Symmetry Breaking on the Lattice
- Centre vortex structure in the presence of dynamical fermions
- The road to solving the Gribov problem of the center vortex model in quantum chromo dynamics
- From center-vortex ensembles to the confining flux tube
- Center regions as a solution to the Gribov problem of the center vortex model
- The ice-limit of Coulomb gauge Yang-Mills theory
- Local correlation among the chiral condensate, monopoles, and color magnetic fields in Abelian projected QCD
- Center Dominance Recovered: Direct Laplacian Center Gauge
- Decomposition of the static potential in the Maximal Abelian gauge
- A first analysis of the ensemble of local maxima of maximal center gauge