Liquid crystal defects and confinement in Yang-Mills theory
M. N. Chernodub
Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia
PACS: 12.38.-t,12.38.Aw,61.30.-v
Abstract
We show that in the Landau gauge of the SU(2) Yang-Mills
theory the residual global symmetry supports existence of the
topological vortices which resemble disclination defects in the
nematic liquid crystals and the Alice (half-quantum) vortices in
the superfluid 3He in the A-phase. The theory also possesses
half-integer and integer-charged monopoles which are analogous to
the point-like defects in the nematic crystal and in the liquid
helium. We argue that the deconfinement phase transition in the
Yang-Mills theory in the Landau gauge is associated with the
proliferation of these vortices and/or monopoles.