Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-02-11
Quantum Monte Carlo: Recent Advances and Common Problems in Condensed Matter and Field Theory, eds. M. Campostrini, M.P. Lomba
Physics
High Energy Physics
High Energy Physics - Lattice
inv. talk given by H. Kr\"oger at Quantum Monte Carlo, Trento, Italy (3.-6.7.2001), Text (LaTeX), style file
Scientific paper
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).
Caron L. A.
Kr{ö}ger Helmut
Luo X. Q.
Melkonyan Gurgen
Moriarty K. J. M.
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