Abelian monopole and vortex condensation in lattice gauge theories
Author(s) -
Paolo Cea,
Leonardo Cosmai
Publication year - 2001
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2001/11/064
Subject(s) - magnetic monopole , physics , abelian group , lattice gauge theory , hamiltonian lattice gauge theory , gauge theory , lattice field theory , vortex , lattice (music) , mathematical physics , theoretical physics , quantum mechanics , mathematics , pure mathematics , mechanics , acoustics
We study Abelian monopole and vortex condensation in lattice pure gaugetheories. Condensation is detected by means of a disorder parameter defined interms of a gauge-invariant effective action introduced using the latticeSchr\"odinger functional. Dirac monopoles condense in the confined phase ofU(1) lattice gauge theory. Abelian monopoles and Abelian vortices condense inthe confined phase of SU(2) and SU(3) lattice gauge theories.Comment: 23 pages, 11 figure
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