Large center vortices and confinement in 3D Z 2 gauge theory. Abstract We study the role of large clusters of center vortices in producing confinement in 3D Z2 gauge theory. First, we modify each configuration of a Monte Carlo-generated ensemble in the confined phase by removing the largest cluster of center vortices, and show that the ensemble thus obtained does not confine. Conversely, we sho...

We propose a novel and simple method to compute the partition function of statistical mechanics of local and semi-local BPS vortices in the Abelian-Higgs model and its non-Abelian extension on a torus. We use a D-brane realization of the vortices and T-duality relation to domain walls. We there use a special limit where domain walls reduce to gas of hard (soft) one-dimensional rods for Abelian ...

Inviscid spatially compact vortices (such as the Rankine vortex) have discrete Kelvin modes. For these modes, the critical radius, at which the rotation frequency of the wave matches the angular velocity of the fluid, lies outside the vortex core. When such a vortex is not perfectly compact, but has a weak vorticity distribution beyond the core, these Kelvin disturbances are singular at the cri...

We review lattice evidence for the vortex mechanism of quark confinement and study the influence of charged matter fields on the vortex distribution. 1 Review of the vortex mechanism of quark confinement In the early days of QCD some people argued that quarks are confined due to the non-abelian nature of gauge-fields leading to attraction between flux-lines. But the abelian U(1) lattice gauge t...

We discuss the physical picture of thick vortices as the mechanism responsible for confinement at arbitrarily weak coupling in SU(2) gauge theory. By introducing appropriate variables on the lattice we distinguish between thin, thick and ‘hybrid’ vortices, the latter involving Z(2) monopole loop boundaries. We present numerical lattice simulation results that demonstrate that the full SU(2) str...

We consider the inviscid limit for the two-dimensional incompressible Navier-Stokes equation in the particular case where the initial flow is a finite collection of point vortices. We suppose that the initial positions and the circulations of the vortices do not depend on the viscosity parameter ν, and we choose a time T > 0 such that the Helmholtz-Kirchhoff point vortex system is well-posed on...

Large-eddy simulations of pairs of artificially generated longitudinal vortices embedded in a two-dimensional turbulent boundary layer are performed to study the dynamics of the vortical structures and to provide the unsteady inflow data for use in a future turbomachinery simulation. An immersed boundarymethod is employed to represent the wall-mounted half-delta wings that generate the counter-...

This paper examines the stability of vortices in a two-layer ocean on the f -plane. The mean depth h̄1 of the upper layer is assumed to be much smaller than the depth h̄2 of the lower layer. Using the primitive equations, we derive an asymptotic criterion for baroclinic instability of compensated (i.e. confined to the upper layer) vortices. Surprisingly, it coincides exactly with a similar criter...

We consider the static (2+1)D gauged linear sigma model. By analyzing the governing system of partial di erential equations, we investigate various aspects of the model. We show the existence of energy nite vortices under a partially broken symmetry on R with the necessary condition suggested by Y. Yang[13]. We also introduce generalized semi-local vortices and show the existence of energy nite...

Recently, a new type of BPS vortex was found in U(N) gauge theories. This is called non-Abelian vortex and carries the non-Abelian charge CP = SU(N)C+F SU(N−1)C+F×U(1)C+F . Readers can find good reviews in and references of related works therein. In this talk we are interested in studying interactions between non-Abelian vortices which are non-BPS. The nonBPS vortices are more natural than BPS ...