Thermodynamical Observables in a Finite Temperature Window from the Monte Carlo Hamiltonian

Abstract

The Monte Carlo (MC) Hamiltonian is a new stochastic method to solve many-body problems. The MC Hamiltonian represents an effective Hamiltonian in a finite energy window. We construct it from the classical action via Monte Carlo with importance sampling. The MC Hamiltonian yields the energy spectrum and corresponding wave functions in a low energy window. This allows to compute thermodynamical observables in a low temperature window. We show the working of the MC Hamiltonian by an example from lattice field theory (Klein-Gordon model).

Comments: inv. talk given by H. Kröger at 3. IMACS Seminar on Monte Carlo Methods Salzburg (2001), Text (LaTeX), style file