Thick vortices in SU(2) lattice gauge theory

Physics Letters B, 1999

We investigate the effect of Z 2 magnetic monopoles and vortices on the finite temperature deconfinement phase transition in the fundamental -adjoint SU (2) lattice gauge theory. In the limit of complete suppression of the Z 2 monopoles, the mixed action for the SU (2) theory in its Villain form is shown to be self-dual under the exchange of the fundamental and adjoint couplings. By further suppressing the Z 2 vortices we show that the extended model reduces to the Wilson action with a modified coupling. The universality of the SU (2) deconfinement phase transition with the Ising model is therefore expected to remain intact in the entire plane of the fundamentaladjoint couplings in the continuum limit. The self-duality arguments related to the suppression of Z 2 monopoles are also applicable to the Villain form of mixed action for the SU (N ) theory with Z N magnetic monopoles.

Physics Letters B, 1998

The magnetic vortices which arise in SU(2) lattice gauge theory in center projection are visualized for a given time slice. We establish that the number of vortices piercing a given 2-dimensional sheet is a renormalization group invariant and therefore physical quantity. We find that roughly 2 vortices pierce an area of 1 fm 2 . * Supported in part by DFG under contract Re 856/1-3.

We show that the scenario of vortex induced confinement of centerprojected SU(2) lattice gauge theory is not necessarily in conflict with the findings in the positive plaquette model.

Physics Letters B, 2001

We compute, in SU (3) pure gauge theory, the vacuum expectation value (vev) of the operator which creates a Z 3 vortex wrapping the lattice through periodic boundary conditions (dual Polyakov line). The technique used is the same already tested in the SU (2) case. The dual Polyakov line proves to be a good disorder parameter for confinement, and has a similar behaviour to the monopole condensate. The new features which characterise the construction of the disorder operator in SU (3) are emphasised.

Nuclear Physics B - Proceedings Supplements, 1999

SU (2) gluodynamics is investigated numerically and analytically in the (Indirect) Maximal Center gauge at finite temperature. The center vortices are shown to be condensed in the confinement phase and dilute in the deconfinement phase. A new physical object, center monopole, is constructed. We show that the center monopole condensate is the order parameter of deconfinement phase transition. The linking of the vortex worldsheets and quark trajectories is identified with the Aharonov-Bohm interaction in an effective Abelian Higgs theory. We conclude that the confinement in the Maximal Center gauge can be explained by a new mechanism called "the real superconductor mechanism".

We i n v estigate the eect of Z 2 magnetic monopoles on the nite temperature deconnement phase transition in the fundamental-adjoint SU(2) lattice gauge theory. In the limit of complete suppression of these monopoles, the mixed action for the SU(2) theory in its Villain form is shown to be self-dual under the exchange of the fundamental and adjoint couplings. The self-duality and our Monte Carlo simulations on lattices with temporal extensions of 4 and 6 establish straight line trajectories of second order deconnement phase transition in the entire plane of the fundamental and adjoint couplings. This suggests that the apparent change in the order of the deconnement transition as well as the existence of the tricritical point i n t h e extended coupling plane, found earlier by both Monte Carlo simulations and strong coupling expansion, are due to the inuence of Z 2 magnetic monopoles. The universality of the SU(2) deconnement phase transition with the Ising model is therefore expected to remain intact in the continuum limit. The self-duality arguments are also applicable to the Villain form of mixed action for the SU(N) theory with Z N magnetic monopoles.

Physical review D: Particles and fields, 1995

We calculate the solenoidal magnetic monopole current and electric flux distributions at finite temperature in the presence of a static quark-antiquark pair. The simulation was performed using SU lattice gauge theory in the maximal Abelian gauge. We find that the monopole current and electric flux distributions are quite different below and above the finite temperature deconfining phase transition point and agree with predictions of the Ginzburg-Landau theory. PACS number(s): 11.15.Ha Typeset Using REVTEX

Nuclear Physics B - Proceedings Supplements, 2001

We present results for the heavy quark potential computed in SU(3) from magnetic monopoles and from center vortices. The monopoles are identified after fixing SU(3) lattice configurations to the maximal abelian gauge. The center vortices are identified after using an indirect center gauge fixing scheme which we describe for SU(3). Z(3) center vortices are extracted and used to compute the potential. The values of the string tensions from monopoles and vortices are compared to the full SU(3) string tension.

Physics Letters B, 1993

We calculate the electric flux and magnetic monopole current distribution in the presence of a static quark-antiquark pair for SU(2) lattice gauge theory in the maximal Abelian gauge. The current distribution confines the flux in a dual Abrikosov vortex whose core size is comparable to the flux penetration depth. The observed structure is described by a dual Ginzburg-Landau model.

Journal of High Energy Physics, 2001

We study Abelian monopole and vortex condensation in lattice pure gauge theories. Condensation is detected by means of a disorder parameter defined in terms of a gauge-invariant effective action introduced using the lattice Schrödinger functional. Dirac monopoles condense in the confined phase of U(1) lattice gauge theory. Abelian monopoles and Abelian vortices condense in the confined phase of SU(2) and SU(3) lattice gauge theories.