Almost perfect quantum lattice action for low-energy SU(2) gluodynamics - art. no. 094506

We study various representations of infrared effective theory of SU(2) gluo dynamics as a (quantum) perfect lattice action. In particular we derive a m onopole action and a string model of hadrons from SU(2) gluodynamics. These are lattice actions which give almost cutoff independent physical quantiti es even on coarse lattices. The monopole action is determined by numerical simulations in the infrared region of SU(2) gluodynamics. The string model of hadrons is derived from the monopole action by using BKT transformation. We illustrate the method and evaluate physical quantities such as the stri ng tension and the mass of the lowest state of the glueball analytically us ing the string model of hadrons. It turns out that the classical results in the string model are near to the one in quantum SU(2) gluodynamics.