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25 April 2024
 
  » arxiv » hep-lat/0202016

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Thermodynamics from Monte Carlo Hamiltonian
L.A. Caron ; H. Kröger ; G. Melkonyan ; X.Q. Luo ; K.J.M. Moriarty ;
Date 11 Feb 2002
Journal Quantum Monte Carlo: Recent Advances and Common Problems in Condensed Matter and Field Theory, eds. M. Campostrini, M.P. Lombardo, F. Pederiva, Edizioni ETS, Pisa (2001), p.94
Subject hep-lat
AbstractWe 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).
Source arXiv, hep-lat/0202016
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