Article

# Thermodynamics from Monte Carlo Hamiltonian

03/2002;
Source: arXiv

ABSTRACT We construct an effective low-energy Hamiltonian from the classical action via Monte Carlo with importance sampling. We use Monte Carlo (i) to compute matrix elements of the transition amplitude and (ii) to construct stochastically a basis. The MC Hamiltonian allows to obtain energies and wave functions of low-lying states. It allows also to compute thermodynamical observables in some temperature window (starting from temperature zero). We present examples from lattice field theory (Klein-Gordon model).

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### Keywords

effective low-energy Hamiltonian

Klein-Gordon model

lattice field theory

matrix elements

MC Hamiltonian

temperature zero

thermodynamical observables

wave functions