Confinement via dynamical monopoles

Oct 26, 1992
18 pages
Published in:
  • Phys.Lett.B 303 (1993) 103-108
Report number:
  • UCLA-92-TEP-35

Citations per year

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Abstract: (Elsevier)
It is known that an SU( N ) lattice gauge theory can be exactly mapped into a Z( N ) gauge theory coupled to dynamical monopoles, with couplings and monopole distributions determined by the SU (N) Z (N) dynamics. The effect of the monopoles on long-distance behavior is discussed for N = 2. Rigorous inequalities are derived that reduce the problem of confinement at large β to estimates on expectations of monopole currents. The manner in which this can lead to permanent confinement for space-time dim d ⩽ 4 is discussed.
  • gauge field theory: SU(2)
  • gauge field theory: SO(3)
  • gauge field theory: Z(2)
  • lattice field theory: monopole
  • lattice field theory: confinement
  • path integral: measure
  • Wilson loop
  • flux: electric
  • electric: flux
  • duality: transformation