Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-04-13
Phys.Rev. D49 (1994) 495-506
Physics
High Energy Physics
High Energy Physics - Lattice
(revised version: a few references added) LaTeX file, 25 pages, 6 PostScript figures, (revised version: a few references added
Scientific paper
10.1103/PhysRevD.49.495
We study the use of effective transfer matrices for the numerical computation of masses (or correlation lengths) in lattice spin models. The effective transfer matrix has a strongly reduced number of components. Its definition is motivated by a renormalization group transformation of the full model onto a 1-dimensional spin model. The matrix elements of the effective transfer matrix can be determined by Monte Carlo simulation. We show that the mass gap can be recovered exactly from the spectrum of the effective transfer matrix. As a first step towards application we performed a Monte Carlo study for the 2-dimensional Ising model. For the simulations in the broken phase we employed a multimagnetical demon algorithm. The results for the tunnelling correlation length are particularly encouraging.
Hasenbusch Martin
Pinn Klaus
Rummukainen Kari
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