Blocking from continuum and monopoles in gluodynamics

Details Blocking from continuum and monopoles in gluodynamics Blocking from continuum and monopoles in gluodynamics

2004-06-03

arxiv.org/abs/hep-lat/0406006v1

Phys.Atom.Nucl.68:634-649,2005; Yad.Fiz.68:665-680,2005

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 16 figures, RevTeX 4; To be published in Phys. Atom. Nucl. dedicated to the 70th Birthday of Professor Yu. A. Simono

Scientific paper

10.1134/1.1903093

We review the method of blocking of topological defects from continuum used as a non--perturbative tool to construct effective actions for these defects. The actions are formulated in the continuum limit while the couplings of these actions can be derived from simple observables calculated numerically on lattices with a finite lattice spacing. We demonstrate the success of the method in deriving the effective actions for Abelian monopoles in the pure SU(2) gauge models in an Abelian gauge. In particular, we discuss the gluodynamics in three and four space--time dimensions at zero and non--zero temperatures. Besides the action the quantities of our interest are the monopole density, the magnetic Debye mass and the monopole condensate.

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