We study various representations of the infrared effective theory of S
U(2) gluodynamics starting from the monopole action derived recently.
We determine the coupling constants in the abelian-Higgs model directl
y from lattice QCD and evaluate the type of the QCD vacuum. The string
action is derived using the BKT transformation on the lattice. At the
classical level this action reproduces the physical string tension wi
th a good accuracy.