61 research outputs found
SU(3) centre vortices underpin confinement and dynamical chiral symmetry breaking
The mass function of the nonperturbative quark propagator in SU(3) gauge
theory shows only a weak dependence on the vortex content of the gauge
configurations. Of particular note is the survival of dynamical mass generation
on vortex-free configurations having a vanishing string tension. This admits
the possibility that mass generation associated with dynamical chiral symmetry
breaking persists without confinement. In this presentation, we examine the
low-lying ground-state hadron spectrum of the pi, rho, N and Delta and discover
that while dynamical mass generation persists in the vortex-free theory, it is
not connected to dynamical chiral symmetry breaking. In this way, centre
vortices in SU(3) gauge theory are intimately linked to both confinement and
dynamical chiral symmetry breaking. We conclude that centre vortices are the
essential underlying feature of the QCD vacuum.Comment: 7 pages, 8 figues. Manuscript accepted for Publication in Phys. Rev.
Colorful plane vortices and Chiral Symmetry Breaking in Lattice Gauge Theory
We 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 configurations are vacuum to vacuum transitions
changing the winding number between the two vacua, leading to a topological
charge in the continuum. After growing temporal extent of these
vortices, the lattice topological charge approaches and the index theorem
is fulfilled. We analyze the low lying modes of the overlap Dirac operator in
the background of these colorful plane vortices and compare them with those of
spherical vortices. They show characteristic properties for spontaneous chiral
symmetry breaking.Comment: 15 pages, 14 figure
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