1999/07/27 by J. Ambjørn, J. Ambjorn, Joel Giedt +3 · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Cold Atom Physics and Bose-Einstein Condensates #Coulomb #Gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Magnetic monopole #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Vortex #hep-lat #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/02/033
published as JHEP 0002 (2000) 033 · 37 pages, including 23 eps figures, Latex2e
arxiv created 1999/07/27 · openalex publication_date 2000/02/17 · openalex created_date 2016/06/24 · arxiv updated 2016/09/01 · openalex updated_date 2026/08/05
We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the abelian-projected lattice has at most Z(2), rather than U(1), global symmetry. We also find a severe breakdown of the monopole dominance approximation, as well as positivity, in this charge-2 case. These results imply that the abelian-projected lattice is not adequately represented by a monopole Coulomb gas; the data is, however, consistent with a center vortex structure. Further evidence is provided, in lattice Monte Carlo simulations, for collimation of confining color-magnetic flux into vortices.