# Chiral Symmetry Breaking from Center Vortices

@article{Hollwieser2014ChiralSB, title={Chiral Symmetry Breaking from Center Vortices}, author={Roman Hollwieser and Manfried Faber and Thomas Schweigler and Urs M. Heller}, journal={arXiv: High Energy Physics - Lattice}, year={2014} }

We analyze the creation of near-zero modes from would-be zero modes of various topological charge contributions from classical center vortices in SU(2) lattice gauge theory. We show that colorful spherical vortex and instanton configurations have very similar Dirac eigenmodes and also vortex intersections are able to give rise to a finite density of near-zero modes, leading to chiral symmetry breaking via the Banks-Casher formula. We discuss the influence of the magnetic vortex fluxes on quarks…

## 10 Citations

### Colorful plane vortices and chiral symmetry breaking in SU(2) lattice gauge theory

- Physics
- 2015

A bstractWe investigate plane vortices with color structure. The topological charge and gauge action of such colorful plane vortices are studied in the continuum and on the lattice. These…

### Colorful vortex intersections in SU(2) lattice gauge theory and their influences on chiral properties

- Physics
- 2016

A bstractWe introduce topological non-trivial colorful regions around intersection points of two perpendicular vortex pairs and investigate their influence on topological charge density and…

### Evidence that centre vortices underpin dynamical chiral symmetry breaking in SU(3) gauge theory

- Physics
- 2015

### Impact of centre vortex removal on the Landau-gauge quark propagator in dynamical QCD

- PhysicsProceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)
- 2022

The important role of centre vortices in dynamical chiral symmetry breaking and corresponding dynamical mass generation has been demonstrated in pure gauge studies of the Landau-gauge quark…

### Approaching S U (2 ) gauge dynamics with smeared Z (2 ) vortices

- Physics
- 2015

We present a method to smear (center projected) $Z(2)$ vortices in lattice gauge configurations such as to embed vortex physics into a full $SU(2)$ gauge configuration framework. In particular, we…

### Transition of a spherical vortex to a Dirac monopole with fractional topological charge

- Physics
- 2020

We study topological properties of classical spherical center vortices with the low-lying eigenmodes of the Dirac operator in the fundamental and adjoint representations using both the overlap and ...

### Model of random center vortex lines in continuous 2 + 1 -dimensional spacetime

- Physics
- 2016

A picture of confinement in QCD based on a condensate of thick vortices with fluxes in the center of the gauge group (center vortices) is studied. Previous concrete model realizations of this picture…

### Comment on “Fractional topological charges and the lowest Dirac modes”

- PhysicsInternational Journal of Modern Physics A
- 2019

We comment on a recent paper published in Phys. Rev. D 98, 094513 (2018), arXiv:1811.09029 , pointing out severe problems in the numerical investigation leading to questionable results and misleading…

### Evidence that centre vortices underpin dynamical chiral symmetry breaking in $\mathrm{SU}(3)$ gauge theory

- Physics
- 2015

The link between dynamical chiral symmetry breaking and centre vortices in the gauge fields of pure $\mathrm{SU}(3)$ gauge theory is studied using the overlap-fermion quark propagator in Lattice QCD.…

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We investigate the chiral properties of near-zero modes for thick classical center vortices in $SU(2)$ lattice gauge theory as examples of the phenomena which may arise in a vortex vacuum. In…

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We analyze topological charge contributions from classical SU(2) center vortices with shapes of planes and spheres using different topological charge definitions, namely the center vortex picture of…

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Intersections of thick, plane SU(2) center vortices are characterized by the topological charge |Q| = 1/2. We compare such intersections with the distribution of zeromodes of the Dirac operator in…

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We investigate the lattice index theorem and the localization of the zero modes for thick classical center vortices. For nonorientable spherical vortices, the index of the overlap Dirac operator…

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