Renormalizability of center-vortex sectors in continuum Yang-Mills theory

Recently, a novel approach to quantize SU(N) Yang-Mills theory was proposed, where the configuration space {Aμ} is split into sectors labeled by topological defects, and then the gauge is fixed by a sector dependent condition. As the procedure is local in {Aμ}, it could be free from Gribov copies. In this work, we review the renormalizability of sectors labeled by an arbitrary number of elementary center vortices.

From Center-Vortex Ensembles to the Confining Flux Tube

In this review, we discuss the present status of the description of confining flux tubes in SU(N) pure Yang–Mills theory in terms of ensembles of percolating center vortices. This is based on three main pillars: modeling in the continuum the ensemble components detected in the lattice, the derivation of effective field representations, and contrasting the associated properties with Monte Carlo lattice results. The integration of the present knowledge about these points is essential to get closer to a unified physical picture for confinement. Here, we shall emphasize the last advances, which point to the importance of including the non-oriented center-vortex component and non-Abelian degrees of freedom when modeling the center-vortex ensemble measure. These inputs are responsible for the emergence of topological solitons and the possibility of accommodating the asymptotic scaling properties of the confining string tension.

Remarks on the confinement in the G(2) gauge theory using the thick center vortex model

The confinement problem is studied using the thick center vortex model. It is shown that the [Formula: see text] Cartan subalgebra of the decomposed [Formula: see text] gauge theory can play an important role in the confinement. The Casimir eigenvalues and ratios of the [Formula: see text] representations are obtained using its decomposition to the [Formula: see text] subgroups. This leads to the conjecture that the [Formula: see text] subgroups also can explain the [Formula: see text] properties of the confinement. The thick center vortex model for the [Formula: see text] subgroups of the [Formula: see text] gauge theory is applied without the domain modification. Instead, the presence of two [Formula: see text] vortices with opposite fluxes due to the possibility of decomposition of the [Formula: see text] Cartan subalgebra to the [Formula: see text] groups can explain the properties of the confinement of the [Formula: see text] group both at intermediate and asymptotic distances which is studied here.

A Possible Resolution to Troubles of SU(2) Center Vortex Detection in Smooth Lattice Configurations

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.

Influence of Fermions on Vortices in SU(2)-QCD

Gauge fields control the dynamics of fermions, also a back reaction of fermions on the gauge field is expected. This back reaction is investigated within the vortex picture of the QCD vacuum. We show that the center vortex model reproduces the string tension of the full theory also with the presence of fermionic fields.

A Possible Resolution to Troubles of SU(2) Center Vortex Detection in Smooth Lattice Configurations

The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.

Properties of SU(2) Center Vortex Structure in Smooth Configurations

New analysis regarding the structure of center vortices is presented: Using data from gluonic SU(2) lattice simulation with Wilson action, a correlation of fluctuations in color space to the curvature of vortex fluxes was found. Finite size effects of the S2-homogeneity hint at color homogeneous regions on the vortex surface.

Properties of SU(2) Center Vortex Structure in Smooth Configurstions

New analysis regarding the structure of center vortices and their color structure is presented: Using data from gluonic SU(2) lattice simulation with Wilson action a correlation of fluctuations in color space to curvature of vortex fluxes was found. Finite size effects of the S2-homogeneity hint at color homogeneous regions on the vortex surface.