Abelian monopole and vortex condensation in lattice gauge theories

Details Abelian monopole and vortex condensation in lattice gauge theories Abelian monopole and vortex condensation in lattice gauge theories

2001-03-19

arxiv.org/abs/hep-lat/0103019v2

JHEP11(2001)064

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, 11 figures

Scientific paper

10.1088/1126-6708/2001/11/064

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 Schr\"odinger 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.

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