Thermodynamics from Monte Carlo Hamiltonian
High Energy Physics - Lattice
2007-05-23 v1
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).
Cite
@article{arxiv.hep-lat/0202016,
title = {Thermodynamics from Monte Carlo Hamiltonian},
author = {L. A. Caron and H. Kröger and G. Melkonyan and X. Q. Luo and K. J. M. Moriarty},
journal= {arXiv preprint arXiv:hep-lat/0202016},
year = {2007}
}
Comments
inv. talk given by H. Kr\"oger at Quantum Monte Carlo, Trento, Italy (3.-6.7.2001), Text (LaTeX), style file