Abelian monopole and vortex condensation in lattice gauge theories
Paolo Cea, Leonardo Cosmai
TL;DR
This paper investigates the condensation of Abelian monopoles and vortices in lattice gauge theories, providing evidence of their role in confinement phenomena across different gauge groups.
Contribution
It introduces a gauge-invariant disorder parameter to detect monopole and vortex condensation in lattice gauge theories, demonstrating their condensation in the confined phase.
Findings
Dirac monopoles condense in U(1) gauge theory
Abelian monopoles and vortices condense in SU(2) and SU(3) theories
Condensation correlates with the confined phase of the theories
Abstract
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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