Continuum limit in abelian projected SU(2) lattice gauge theory

Abstract

We study the continuum limit of the abelian string tension and the density of abelian monopoles calculated after carefully fixing the maximal abelian gauge by employing the simulated annealing algorithm. We present the evidence that the abelian string tension converges to the nonabelian one in the continuum limit. For the monopole density we confirm earlier findings that the density of the properly defined infrared monopoles has correct scaling while the total density seems divergent in the continuum limit due to ultraviolate contributions. We also compare with results obtained with the usual iterative gauge fixing algorithm.

Lattice2001(confinement), 3 pages

Cited by in corpus (19)

• Fine tuned vortices in lattice SU(2) gluodynamics
• Anatomy of the lattice magnetic monopoles
• A detailed study of the Abelian-projected SU(2) flux tube and its dual Ginzburg-Landau analysis
• An SU(2) KvBLL caloron gas model and confinement
• Monopole clusters at short and large distances
• Dynamics of Monopoles and Flux Tubes in Two-Flavor Dynamical QCD
• Universality check of Abelian Monopoles
• Towards understanding structure of the monopole clusters
• The Maximal Abelian Gauge, Monopoles, and Vortices in SU(3) Lattice Gauge Theory
• Once more on the interrelation between Abelian monopoles and P-vortices in SU(2) LGT
• Lower-dimension vacuum defects in lattice Yang-Mills theory
• Decomposition of the SU(2) gauge field in the Maximal Abelian gauge
• New features of the maximal abelian projection
• Numerical determination of monopole entropy in pure SU(2) QCD
• Blocking of lattice monopoles from the continuum in hot lattice gluodynamics
• Embedded monopoles in quark eigenmodes in SU(2) Yang-Mills Theory
• Decomposition of the static potential in SU(3) gluodynamics
• On the Landau Ginzburg theory of MAG projected SU(2) lattice gauge theory
• Decomposition of the static potential in the Maximal Abelian gauge