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

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

2002-05-31

arxiv.org/abs/hep-lat/0205030v1

Math.Comput.Simul.62:377-383,2003

Physics

High Energy Physics

High Energy Physics - Lattice

inv. talk given by H. Kr\"oger at 3. IMACS Seminar on Monte Carlo Methods Salzburg (2001), Text (LaTeX), style file

Scientific paper

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).

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