SO(3) monopoles, vortices and confinement in SU(2) gauge theory

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Talk presented at LATTICE96(topology), 3 pages LaTeX, 2 figures (in LaTeX), uses esprc2.sty

Scientific paper

10.1016/S0920-5632(96)00702-5

We report on further progress in our programme of understanding confinement in 3d and 4d SU(2) gauge theory in terms of Z(2) monopoles. A sufficient condition for confinement was previously translated into Z(2) monopole correlation inequalities in a related SO(3) gauge theory. We shall discuss the physical picture underlying this scenario and present some Monte Carlo evidence concerning the monopole correlation inequalities.

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