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We study the dual superconductivity of the ground state of SU͑2͒ gauge theory in connection with confinement. We do this measuring on the lattice a disorder parameter describing condensation of monopoles. Confinement appears as a transition to the dual superconductor, independent of the Abelian projection defining monopoles. Some speculation is made on the existence of a more appropriate disorder parameter. A similar study for SU͑3͒ is presented in a companion paper.

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We demonstrate that confinement in SU(2) gauge theory is produced by dual superconductivity of the vacuum. We show that for T < T-c (temperature of the deconfining phase transition) the U(1) symmetry related to monopole charge conservation is spontaneously broken; for T > T-c the symmetry is restored