Aliasing modes in the lattice Schwinger model
High Energy Physics - Lattice
2007-05-23 v3
Abstract
We study the Schwinger model on a lattice consisting of zeros of the Hermite polynomials that incorporates a lattice derivative and a discrete Fourier transform with many properties. Such a lattice produces a Klein-Gordon equation for the boson field and the exact value of the mass in the asymptotic limit if the boundaries are not taken into account. On the contrary, if the lattice is considered with boundaries new modes appear due to aliasing effects. In the continuum limit, however, this lattice yields also a Klein-Gordon equation with a reduced mass.
Cite
@article{arxiv.hep-lat/0603009,
title = {Aliasing modes in the lattice Schwinger model},
author = {Rafael G. Campos and Eduardo S. Tututi},
journal= {arXiv preprint arXiv:hep-lat/0603009},
year = {2007}
}
Comments
Enlarged version, 1 figure added, 11 pages