Vortex Structure vs. Monopole Dominance in Abelian-Projected Gauge Theory
نویسنده
چکیده
We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the abelian-projected lattice has at most Z2, rather than U(1), global symmetry. We also find a severe breakdown of the monopole dominance approximation, as well as positivity, in this charge-2 case. These results imply that the abelian-projected lattice is not adequately represented by a monopole Coulomb gas; the data is, however, consistent with a center vortex structure. Further evidence is provided, in lattice Monte Carlo simulations, for collimation of confining color-magnetic flux into vortices.
منابع مشابه
The Maximal Abelian Gauge in SU(3) Lattice Gauge Theory
We gauge fix 600 SU(3) β = 6.0 configurations on a 16 lattice to a simple form of the maximal abelian gauge. We project the SU(3) valued links to the U(1) × U(1) subgroup, and extract U(1) × U(1) and monopole string tensions. After gauge fixing to the indirect center gauge, the U(1)×U(1) links are projected to Z(3) and a vortex string tension is measured. The vortex and magnetic current densiti...
متن کاملTopological Aspect of Abelian Projected SU(2) Lattice Gauge Theory
We show that the hypothesis of abelian dominance allows QCD-monopoles to preserve the topological feature of the QCD vacuum within SU(2) lattice gauge theory. An analytical study is made to find the relationship between the topological charge and QCD-monopoles in the lattice formulation. The topological charge is explicitly represented in terms of the monopole current and the abelian component ...
متن کاملConfining Properties of Abelian(-Projected) Theories
Representations of the Abelian-projected SU(2)and SU(3)-gluodynamics in terms of the magnetic monopole currents are derived. Besides the quadratic part, the obtained effective actions contain interactions of these currents with the world-sheets of electric strings in 4D or electric vortex lines in 3D. Next, we illustrate that 3D compact QED is a small gauge boson mass limit of 3D Abelian Higgs ...
متن کاملAbelian projected SU(2) Yang-Mills action for renormalisation group flows
The dual Meissner effect scenario of confinement is discussed by studying the low energy regime of SU(2) Yang-Mills in a maximal Abelian gauge. The Abelian projected effective action is computed perturbatively. This serves as an input for a study of the non-perturbative regime, which is undertaken using exact renormalisation group methods. It is argued that the effective action derived here con...
متن کاملThe Monopole Dominance in QCD
A projection (gauge) independent formulation of the monopole dominance, discovered in lattice QCD for the maximal abelian projection, is given. A new dynamical abelian projection of continuum QCD, which does not rely on any explicit gauge condition imposed on gauge fields, is proposed. Under the assumption that the results of numerical simulations hold in the continuum limit, the monopole domin...
متن کامل