Aliasing modes in the lattice Schwinger model

Details Aliasing modes in the lattice Schwinger model Aliasing modes in the lattice Schwinger model

2006-03-07

arxiv.org/abs/hep-lat/0603009v3

Phys.Lett. A361 (2007) 1-5

Physics

High Energy Physics

High Energy Physics - Lattice

Enlarged version, 1 figure added, 11 pages

Scientific paper

10.1016/j.physleta.2006.09.019

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.

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