COHERENT-STATE PATH-INTEGRAL SIMULATION OF MANY-PARTICLE SYSTEMS

The coherent-state path-integral formulation of certain many-particle systems allows for their nonperturbative study by the techniques of la ttice field theory. In this paper we exploit this strategy by simulati ng the diffusion-controlled reaction A+A-->0 in one dimension where an exact solution exists. Our results are also consistent with general r enormalization-group-based predictions, thus clarifying the continuum limit of the action of the problem. We also make an analytical study o f the exactly solvable harmonic oscillator problem.