Yang-Mills theory in Landau gauge as a liquid crystal

Abstract

Using a spin-charge separation of the gluon field in the Landau gauge we show that the SU(2) Yang-Mills theory in the low-temperature phase can be considered as a nematic liquid crystal. The ground state of the nematic crystal is characterized by the A^2 condensate of the gluon field. The liquid crystal possesses various topological defects (instantons, monopoles and vortices) which are suggested to play a role in non-perturbative features of the theory.

9 pages, no figures

References in corpus (4)

• Landau-gauge condensates from the quark propagator on the lattice
• Yang-Mills theory constructed from Cho--Faddeev--Niemi decomposition
• The Dual Meissner Effect and Magnetic Displacement Currents
• Splitting The Gluon?

Cited by in corpus (7)

• Non-associativity, supersymmetry and hidden variables
• Liquid crystal defects and confinement in Yang-Mills theory
• An Abelian two-Higgs model of strongly correlated electrons: phase structure, strengthening of phase transition and QCD at finite density
• The Grassmannian Sigma Model in SU(2) Yang-Mills Theory
• Spin-charge separation for the SU(3) gauge theory
• Yang-Mills instanton as a quantum black hole
• Spin-charge separation for paired Dirac fermions in $(1+1)$ dimensions