Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-11-28
Int.J.Mod.Phys. C10 (1999) 531-554
Physics
High Energy Physics
High Energy Physics - Lattice
LaTex, 27 pages, 9 figures
Scientific paper
As an application of perfect lattice perturbation theory, we construct an O(\lambda) perfect lattice action for the anharmonic oscillator analytically in momentum space. In coordinate space we obtain a set of 2-spin and 4-spin couplings \propto \lambda, which we evaluate for various masses. These couplings never involve variables separated by more than two lattice spacings. The O(\lambda) perfect action is simulated and compared to the standard action. We discuss the improvement for the first two energy gaps \Delta E_1, \Delta E_2 and for the scaling quantity \Delta E_2 / \Delta E1 in different regimes of the interaction parameter, and of the correlation length.
Bietenholz Wolfgang
Struckmann Th.
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