Lattice gauge Theory with Numerical Method

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Full QCD (quantum chromodynamics) simulation was carried out using the Langevin method developed by the present investigator in 1984 - 1985 with the main result that:(1) The first-order deconfining phase transition of pure gauge theory weakens when quarks are coupled to the system. When the mass of quark decreases, however, a first-order phase transition recovers as a chiral phase transition, which at two sauce time causes the quark liberation.(2) The effect of dynamical degrees of freedom of quark fields largely modifies hadron masses with a lattice out-off. The effect however, is reabsorbed with the shift of initial parameters of the theory and the physical result does not differ from the one obtained with quenched approximation, where the effect of quark fields to gauge fields are switched off. This underlies the success of hadron mass calculation in the quenched approximation.