Perfect Lattice Perturbation Theory: A Study of the Anharmonic Oscillator

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 co...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 1997-11
Main Authors: Bietenholz, W, Struckmann, T
Format: Article
Language:English
Subjects:
Anharmonicity
Couplings
Energy gap
Interaction parameters
Perturbation theory
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9711054